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邓引斌
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职称
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国交2号楼307室
邮箱
ybdeng@ccnu.edu.cn
个人简介
1956年生于湖北天门,1982年元月获华中师范大学学士学位,1988年7月获中国科学院应用数学研究所硕士学位,2001年5月获武汉大学博士学位。1982年以来,一直在华中师范大学从事教学科研工作,1993年元月被华中师范大学特聘为正教授,2002年被聘为博士生指导教师,2007年被聘为华中师范大学二级教授,2020年被聘为华中师范大学博雅学者。曾任77779193永利官网院长(原数学系系主任)、中国数学会理事,湖北省数学会副理事长、《数学通讯》杂志主编、现任77779193永利官网学术委员会主任、《数学物理学报》常务编委。主要从事非线性偏微分方程及其应用等领域的研究,特别是对含临界增长的半线性椭圆方程, 拟线性椭圆方程, 双调和方程的解的存在性与非存在性, 多解性及其分支现象作了系统的研究。同时, 还对天体物理中的Emolen-Fowler方程和Euler-Possion方程的解的存在性及解的性态进行了探讨。目前正主持国家自然科学基金项目的研究。近几年来,曾多次主次或参与国家自然科学基金重点项目的研究、7次主持国家自然科学基金面上项目,多次主持国家自然科学基金天元基金项目,3次主持国家教育部各类基金(包括优秀年轻教师基金和高等学校骨干教师基金)的研究。多次应邀出访美国、澳大利亚、香港、瑞士、中科院等重要的国家和地区。发表论文近130多篇,100多篇被录入SCI国际重要检索系统。与人合作出版教材2部。与中国科学院物理与数学研究所合作研究的系列成果“非线性椭圆问题的多解及其形态研究”于2000年获湖北是自然科学二等奖。主持研究的科研成果“半线性椭圆问题的多解及其分支”于1989年获国家教育部科技进步三等奖。2001年获教育部优秀骨干教师奖。2009年获国家双语教学示范课建设项目资助,2010年元月,系列成果“非线性椭圆型与抛物型偏微分方程若干问题的研究” 获教育部自然科学二等奖。
开设课程
常微分方程, 偏微分方程, 微分几何, 高等数学
研究方向
非线性椭圆方程与抛物方程,非线性分析。
教育经历
1982年元月获华中师范大学学士学位 1988年7月获中国科学院应用数学研究所硕士学位 2001年5月获武汉大学博士学位
工作经历
1982年以来,一直在华中师范大学从事教学科研工作, 1993年元月被华中师范大学特聘为正教授, 2002年被聘为博士生指导教师, 2007年被聘为华中师范大学二级教授, 2020年被聘为华中师范大学博雅学者。 曾任77779193永利官网院长(原数学系系主任)、中国数学会理事,湖北省数学会副理事长、《数学通讯》杂志主编 现任77779193永利官网学术委员会主任、《数学物理学报》常务编委。
研究成果
2024年发表的论文 [1] Xiaoming An, Yinbin Deng and Xian Yang, Existence of positive solutions for weakly coupled Schrodinger system with supercritical growth. Discrete and Continuous Dynamical Systems-S, 17(2) (2024), 801-825. [2] Yinbin Deng and Xian Yang, The higher regularity and decay estimates for positive solutions of fractional Choquard equations. Bulletin of the London Mathematical Society,56(4)(2024),1328-1340. [3] Yinbin Deng, Shuangjie Peng and Xian Yang, Existence and decays of solutions for fractional Schrodinger equations with decaying potentials. Calc. Var. Partial Differ. Equ. (2024). [4] Yinbin Deng and Xian Yang, Global higher regularity and decay estimates for positive solutions of fractional equations in RN. Nonlinearity 37 (2024) 065016 (23pp). [5] Yinbin Deng, Longge Shi, On the existence of positive solution for a Neumann problem with double critical exponents in half-space. Journal of Differential Equations, 401 (2024), 376–427. [6] Yinbin Deng, Longge Shi and Xinyue Zhang, Existence of solutions for the critical Neumann problems with the supperlinear perturbation in the half-space. Math. Nachrichten, doi: 10.1002/mana.202300496 (20240801接受). [7] Yinbin Deng, Chenchen Liu and Xian Yang, Nodal solutions for a zero-mass Chern-Simons-Schrodinger equation. Adv. Non. Anal(202407接受). [8] Yinbin Deng, Shuangjie Peng and Xian Yang, Semi-classical states for fractional Choquard equations with decaying potentials. Communications in Contemporary Mathematics, DOI: 10.1142/S0219199724500469, (20240724接受). 2023年发表的论文 [1] Yinbin Deng, Qihan He, Yiqing Pan and Xuexiu Zhong, The existence of positive solution for an elliptic problem with critical growth and logarithmic perturbation, Adv. Nonlinear Stud. 23(2023) no1 ans-2022-0049, (20230112). [2] Yinbin Deng, Wei Shuai and Xuexiu Zhong, Existence and Concentration Results for the General Kirchhoff Type Equations, J. Geometry Analysis 33(2023), no.3 Paper No.88,22pp. [3] Yinbin Deng, Wei Shuai and Xiaolong Yang, Sign-changing solutions for the nonlinear Schrodinger-Poisson system with critical growth, Acta Math. Sci. 43B (5) 2291-2308. [4] Yinbin Deng, Shuangjie Peng and Xian Yang, Uniqueness and non-degeneracy of ground states for Choquard equations with fractional Laplacian. J. Diff. Equans. 371(2023),299-352. [5] Yinbin Deng, Yujin Guo and Liangsun Xu, Limiting Profiles of Two-Component Attractive Bose-Einstein Condensates Passing an Obstacle, Science of China Mathematics,66(8), (Auguest 2023), 1767-1788. [6] Yinbin Deng, Youjun Wang, Existence and asymptotic behavior of positive solutions for a class of quasilinear Schrodinger equations with parameters, Commun. Math. Sci. 21(7) (2023), 1989-2012. [7] Yinbin Deng and Xinyue Zhang, Nodal solutions for a supercritical problem with variable exponent and logarithmic nonlinearity, Discrete and Continuous Dynamical Systems, 43(12) (2023), 4429-4453. 2022年发表的论文 [1] Yinbin Deng, Shuangjie Peng, Xinyue Zhang and Yang Zhou, A class of supercritical Sobolev type inequalities with logarithm and related elliptic equations, J. Diff. Equans. 341(2022),150-188. 2021年发表的论文 [1] Yinbin Deng, Yujing Guo and Liangshun Xu, Limit Behavior of Attractive Bose-Einstein Condensates Passing an Obstacle. J. Diff. Equas. 272(2021),370-398. [2] Yinbin Deng, Huirong Pi and Wei Shuai, Multiple Solutions for Logarithmic Schrödinger Equations with Critical Growth, Methods and Applications of Analysis, 28(2), (2021 June) ,223-250. [3] 邓引斌, 程婷, 彭双阶,《常微分方程》, 高教出版社,ISBN 978-7-04-053444-3, 2021.2. 2020年以前发表的论文 [1] Yinbin Deng, Qingfei Jin and Wei Shuai, Existence of positive ground state solution for Choquard system, Adv. Nonlinear Stud., 20 (2020), no. 4, 819–831. [2] Yinbin Deng, Wentao Huang, Positive least energy solutions for fractional Kirchhoff type equations involving critical growth, Discrete and Continuous Dynamical Systems, Series S, 12(7), 1929-1954 (20190105). [3] Yinbin Deng, Yuxia Guo and Shusen Yan, Multiple solutions for critical quasilinear elliptic equations. Calc. Var. Partial Differential Equations, 58 (2019), no. 1, 58:2. [4] Yinbin Deng, Wentao Huang, Sen Zhang, Ground state solutions for quasilinear Schrodinger equations with critical growth and lower power subcritical perturbation, Adv. Nonlinear Stud. 19(1) (2019), 219-237. [5] 邓引斌,黄文涛,广义拟线性Schrodinger 方程基态解的存在性,《中国科学》中文版(齐民友老师生日特刊). [6] Yinbin Deng and Wei Shuai, Sign-changing solutions for non-local elliptic equations involving the fractional Laplacain, Adv. Diff. Equns., 23(1-2)(2018), 109-134. [7] Yinbin Deng, Shuangjie Peng and Jixiu Wang, Nodal Solutions for a Quasi- linear Elliptic Equation Involving the p-Laplacian and Critical Exponents, Advanced Nonlinear Studies, 18(1) (2018), 17-40. [8] Yinbin Deng, Shuangjie Peng and Wei Shuai, Nodal standing waves for a gauged nonlinear Schrodinger equation in R2, J. Differential Equations, 264 (2018), 4006-4035. [9] Yinbin Deng, Yujin Guo and Lu Lu, Threshold Behavior and Uniqueness of Ground States for Mass Critical Inhomogeneous Schrodinger Equations,Journal of Mathematical Physics 59(1), 011503 (2018). [10] Yinbin Deng and Wei Shuai, Sign-changing multi-bump solutions for Kirchhoff-type equtions in R3,Discrete and Continuous Dynamical Systems 58(6), 3241-3270. [11] Kun Cheng and Yinbin Deng, Nodal solutions for a generalized quasilinear Schrodinger equation with critical exponents, Discrete Contin. Dyn. Syst. 37(1)(2017)77-103. [12] Yinbin Deng and Wentao Huang, Positive ground state solutions for a quasilinear elliptic equation with critical exponent, Discrete Contin. Dyn. Syst. 37(8) (August 2017)4213-4230. [13] Yinbin Deng, Wentao Huang, Ground state solutions for generalized quasilinear Schrodinger equations without (AR) condition, J. Math. Anal. Appl., 456 (2017), 927-945. [14] Yinbin Deng, Yi Li and Wei Shuai, Existence of solutions for a class of p-Laplacian type equation with critical growth and potential vanishing at infinity, Discrete Contin. Dyn. Syst., 36(2) (2016), 683-699. [15] Yinbin Deng, Shuangjie Peng and Shusen Yan, Critical exponents and solitary wave solutions for generalized quasilinear Schrodinger equations, J. Differential Equations, 260(2) (2016)1228-1262. [16] Yinbin Deng and Wei Shuai, Existence and concentration behavior of sign-changing solutions for quasilinear Schrodinger equations, Science China, 59(6) (2016),1095-1112. [17] Yinbin Deng, Yuxia Guo and Jiaquan Liu, Existence of solutions for quasilinear elliptic equations with Hardy potential, J. Math. Phys. 57(3) (2016), 031503, 15 pp. [18] Yinbin Deng, Changshou Lin and Shusen Yan, On the prescribed scalar curvature problem in R^N, local uniqueness and Periodicity, J. Math. Pure Appl. 104(6)(2015), 1013-1044. [19] Yinbin Deng, Shuangjie Peng and Wei Shuai, Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in R^3, J. Funct. Anal. 269 (11) (2015), 3500–3527. [20] Yinbin Deng, Yujing Guo and Lu Lu, On the Collapse and Concentration of Bose-Einstein Condensates with Inhomogeneous Attractive Interactions, Calc. Var. Partial Differential Equations, 54(1) (2015), 99-118. [21] Yinbin Deng, Shuangjie Peng and Shusen Yan, Positive soliton solutions for generalized quasilinear Schrodinger equations with critical growth, J. Differential Equations, 258(1) (2015), 115-147. [22] Yinbin Deng, Lu Lu and Wei Shuai, Constraint Minimizers of Mass Critical Hartree Energy Functional: Existence and Mass Concentration, J. Math. Phys. 56(6)(2015), 061503, 15pp. [23] Yinbin Deng and Wei Shuai, Nontrivial solutions for a semilinear biharmonic problem with critical growth and potential vanishing at infinity, Proc. Royal Society of Edinburgh, Sect. A 145 (2) (2015), 281-299. [24] Yinbin Deng, Yi Li and Xiujian Yan, Nodal solutions for a quasilinear Schrodinger equation with critical nonlinearity and non-square diffusion, Commu. Pure Appl. Anal. 14(6) (2015), 2487-2508. [25] Yinbin Deng, Shuangjie Peng and Jixiu Wang, Nodal soliton solutions for generalized quasilinear Schrodinger equations, J. Math. Phys. 55, 051501 (2014). [26] Yinbin Deng, Shuangjie Peng and Li Wang, Infinitely many radial solutions to elliptic systems involving critical exponents. Discrete Contin. Dyn. Syst. 34 (2014), no. 2, 461–475. [27] Yinbin Deng, Shuangjie Peng and Huirong Pi, Bound States with Clustered Peaks for Nonlinear Schrodinger Equations with Compactly Supported Potentials, Advanced Nonlinear Studies (14) (2014), 421—439. [28] Yinbin Deng and Wei Shuai, Positive solutions for a quasilinear Schrodinger equation with critical growth and potential vanishing at infinity, Commu. Pure Appl. Anal. 13(6), (2014), 2273-2287. [29] Yinbin Deng, Shuangjie Peng and Jixiu Wang, Nodal soliton solutions for quasilinear Schrödinger equations with critical exponent, J. Math. Phys. 54(2013). [30] Yinbin Deng, Yi Li, Fen Yang, On the positive radial solutions of a class of singular semilinear elliptic equations, J. Differential Equations, 253(2012) 481-501. [31] (Sci) Yinbin Deng, Shuangjie Peng and Li Wang, Existence of multiple solutions for a nonhomogeneous semilinear elliptic equation involving critical exponent, Discreate and continuous Dynamical Systems, 32(3) (2012), 795-826. [32] Yinbin Deng, Linyu Jin and Shuangjie Peng, Solutions of Schrodinger Equations with Inverse Square Potential and Critical Nonlinearity, J. Differential Equations, 253(2012) 1376-1398. [33] (Sci) Yinbin Deng, Shuangjie Peng and Jixiu Wang, Infinitely many sign-changing solutions for quasilinear Schrodinger equations in R^N, Commun. Math. Sci. Vol.9, No. 3, pp.859-878,(2011). [34] (Sci) Yinbin Deng and Jixiu Wang, Critical exponents and critical dimensions for quasilinear elliptic problems, Nonlinear Analysis TMA, 74 (2011) 3458-3467. [35] (Sci) Lingyu Jin and Yinbin Deng, A Global Compact Result for a Semilinear Elliptic Problem with Hardy Potential and Critical Nonlinearities on R^N, Science China Series A 53(2) (2010) 385--400. [36] (Sci) Yinbin Deng, Na Ba and Huazhao, Xie, STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE, Acta Math. Sci. 30B (2010) 1347-1356. [37] (Sci) Na Ba, Yinbin Deng and Shuangjie Peng, Multi-peak Bound States for Schrdinger Equations with Compactly Supported or Unbounded Potentials, Ann. I. H. Poincare-AN 27 (2010) 1205-1226. [38] (Sci) Yinbin Deng and Huazhao Xie, Multiple stationary solutions of Euler-Poisson equations for non-isentropic gaseous stars, Acta Math. Sci. 30B (6) (2010), 2077-2088. [39] 邓引斌,李渺,高校本科生数学双语学习现状的调查研究, 数学教育学报,19(6)(2010) p42-44. [40] (SCI) Yinbin Deng, Lingyu Jin and Shuanjie Peng, The Existence of Nontrivial Solutions for an Elliptic Equations Relating to the Caffarelli-Kohn-Nirenberg Inequalities, Communications in Contemporary Mathematics 11(2) (2009), 1-14 [41] (SCI) Yinbin Deng, Yi Li and Fen Yang, A note on the positive solutions of an inhomogeneous elliptic Equation on R^N. J. Diff. Equations, 246 (2009), 670-680. [42] (SCI) Yinbin Deng and Qi Gao, The asymptotic behavior of the positive solutions for a semilinear elliptic equation with Hardy term, Discrete and continuous Dynamical Systems - Series A 24(2)(2009),367-380. [43] (Sci) Yinbin Deng and Huirong Pi, Multiple Solutions for $p$-Harmonic Type Equations. Nonlinear Analysis: Theory, Methods & Applications, 71(10), (2009), 4952-4959 [44] (SCI) Yinbin Deng and Jixiu Wang, Nonexistence of Radical Node Solutions for Elliptic Problems with Critical Sobolev Exponents, Nonlinear Analysis: Theory, Methods & Applications, 71( 1-2), (2009), 172-178 [45] (SCI) Yinbin Deng and Yi Li, Regularity of the solutions for nonlinear biharmonic equations in R^N, Acta Math. Sci. 29B(5) 2009 1469-1480. [46] 金玲玉,邓引斌,无界域上带Hardy项和临界非线性项的半线性椭圆问题的全局紧性结果, 中国科学 A辑 39(7)(2009)840-854. [47] (SCI)Yinbin Deng and Fen Yang, Existence and Asymptotic Behavior of Positive Solutions for an Inhomogeneous Semilinear Elliptic Equation, Nonlinear Analysis TMA., 68(2008) 246-272. [48] (Sci) Yinbin Deng and Fen Yang, On the Stability of the Positive Radical Steady States for a Semilinear Cauchy Problem involving critical exponents,Acta Math. Sci. 28 B(2) 348-354 (2008) . [49] (Sci) Yinbin Deng Yan Gao and Jianlin Xiang, Solutions of Euler-Poisson Equations in $R^n$, Acta Math. Sci. 28 B(1), 24-42 (2008),. [50] (SCI) Yinbin Deng, Yujing Guo and Yi Li, Existence and Decay Properties of Positive Solutions for an Inhomogeneous Semilinear Elliptic Equation. Proceedings of the Royal Society of Edinburgh, 138A 301-322 (2008). [51]. (SCI) Yinbin Deng, Li Wang, Solutions for a class of singular nonlinear boundary value problem involving critical exponent, Acta Mathematicae Applicatae Sinica 24(3), 453-472 (2008) [52]. (SCI) Yinbin Deng, Lingyu Jin and Shuanjie Peng, A Robin Boundary Problem with Hardy Potential and Critical Nonlinearities. Journal d'Analyse Mathematique. 104, 125-154, (2008). [53] (SCI) Yinbin Deng and Lingyu Jin, Exponential Decay of the Solutions for Nonlinear Multiharmonic Equations, Nonli. Anal. TMA., 69, 1953-1965 , (2008). [54] (SCI) Yinbin Deng,Qi Gao and Lingyu Jin, On the Existence of Nontrivial Solutions for p- Harmonic Equations on Unbounded Domains. Nonli. Anal. TMA. 69(12), 4713-4731, (2008). [55] (Sci) Yinbin Deng and Yujin Guo, Multiple Positive Solutions for an Inhomogeneous Semilinear Problem in Exterior Domains,Nonlinear Analysis, TMA. 66 (2007), 1388-1409. [56] (Sci) Yinbin Deng and Lingyu Jin, On Symmetric Solutions of a Singular Elliptic Equation with Critical Sobolev-Hardy Exponent,J. Math. Anal. Appl. 329 ( 2007), 603-616. [57] (SCI) Yinbin Deng, Qi Gao and Dandan Zhang, Nodal Solutions for Laplace Equations with Critical Sobolev and Hardy Exponents on R^N, Discrete and continuous Dynamical Systems - Series A,19(1)(2007),211-233. [58] (Sci) Yinbin Deng and Lingyu Jin, Multiple Positive Solutions for a Quasilinear Nonhomogeneous Neumann Problems with Critical Hardy Exponents Nonlinear Anal. TMA. 67(12) (2007), 3261-3275. [59] (SCI) Yinbin Deng and Yi Li, Exponential decay of the solutions for nonlinear biharmonic equations, Communications in Contemporary Mathematic,9(5) 753-768(2007) [60] (Sci) Yinbin Deng and Tong Yang, Multiplicity of Stationary Solutions to the Euler-Poisson Equations, J. Diff. Equations, 231(2006), 252-289. [61] (Sci) Yinbin Deng, Yi Li and Fen Yang , On the Stability of the Positive Steady States for a Nonhomogeneous Semilinear Cauchy Problem, J. Diff. Equations. Vol 228 (2006), 507-529. [62] (Sci) Yinbin Deng and Yi Li, Branches of solutions to semilinear biharmonic equations on R^{N}, Proceedings of the Royal Society of Edinburgh, Vol 136 (3), (2006) 733-758. [63] (Sci) Dongsheng Kang and Yinbin Deng, Multiple solutions for inhomogeneous elliptic problems involving critical Sobolev Hardy exponents, Nonlinear analysis TMA 60 (2005), 729-753. [64] (Sci) Yinbin Deng, Y. M. Ma and Xuejing Zhao, Existence and Properties of Positive Solutions for Semilinear Equations with Critical Exponent in RN, Rocky Mountain Mathematics Journal of Mathematics, 35(5) , (2005). 1479—1512 [65] Yisheng Lai, Yuanguo Zhu and Yinbin Deng, Fixed point index approach for solutions of variational inequalities. International Journal of Matiematics and Mathematical Sciences, 2005(12), (2005) 1879-1887. [66] 朱长江,邓引斌, 《偏微分方程讲义》, 科学出版社, (2005) [67] 邓引斌,高琦, 非齐次p-调和方程。华中师范大学学报自然科学版 (2005) [68] (Sci) Deng Yinbin, Yi Li, Yi Liu, On the stability of the positive radial steady states for a semilinear Cauchy problem, Nonlinear Analysis, 54(2003), 291-318. [69] (SciE) Deng Yinbin, Li Yi, Zhao Xunjin, Multiple solutions for an inhomogeneous semilinear elliptic equation in R N,Acta Math. Sci., Ser. B, 23(1)(2003), 1-15. [70] Kang Dongsheng, Deng Yinbin, Sobolev-Hardy inequalities and some critical biharmonic problems. (Chinese), Acta Math. Sci., Ser. A, 23(1)(2003), 106-114. [71] (Sci) Yinbin Deng,Zhenhua Guo and Gengsheng Wang, Nodal solutions for p-Laplace equations with critical growth,Nonlinear Analysis TMA 54(2003)1121-1151。 [72] (Sci) Dongsheng Kang and Yinbin Deng,Existence of solution for a singular critical elliptic equation,J. Math. Anal. Applications, 284 (2003) 724-732. [73] (SciE) Yinbin Deng and Yujing Guo, Uniqueness of Stationary Solutions with Vacuum of Euler-Poisson Equations, Acta Math. Sci., Ser. B, 23(3) (2003). [74] (Sci) Yinbin Deng, Xiang Jianlin and Tong Yang, Blowup phenomena of the solutions to Euler-Poisson equations, J. Math. Anal. Appl. 286 (2003)295-306. [75] (SciE) Yisheng Lai, Yuanguo Zhu and Yinbin Deng, The Existence of nonzero solutions for a class of Variational Inequalities by index, Applied Mathematics Letters , 16 (2003), 839-845. [76] 邓引斌, 金玲玉,双调和算子的基本解, 华中师范大学学报, 37(3), (2003)273-276. [77] Deng Yinbin, 超临界增长的半线性椭圆型边值问题无穷多解的存在性和波节性质,华中师范大学学报,1 (1989). [78] Deng Yinbin, 临界增长的半线性椭圆型边值问题的无穷多解的存在性和波节性质, 华中师范大学学报,1 (1989). [79] (SciE) Deng Yinbin, The existence and nodal character of the solutions in R^N for semilinear elliptic equation involving critical Sobolev exponent, Acta Mathematica Sciencia, 9 (4) (1989),385-402. [80] Deng Yinbin, Existence and the nodal property of infinitely many solutions to singular quasilinear boundary value problems,华中师范大学学报,23 (4)(1989),483-488( Chinese). [81] Deng Yinbin, Uniqueness of k-node solutions to a class of semilinear elliptic boundary value problems, 华中师范大学学报, 24 (2) (1990), 131-138 ( in Chinese). [82] Deng Yinbin, 王光发, Uniqueness of k-node solutions to a class of nonlinear boundary value problems, 数学杂志, 10 (4) (1990), 451-458. [83] (SciE) D. M. Cao, Deng Yinbin, On the existence and nodal character of solutions of singular nonlinear boundary value problems, Acta Mathematica Scientia, 10(4) (1990), 471-478. [84] (Sci) Deng Yinbin, On the superlinear Ambrosetti-Prodi problem involving critical Sobolev exponents, Nonlinear Analysis, TMA, 17(12) (1991), 1111-1124. [85] 王光发,Deng Yinbin, Uniquness of nonnegative solutions to singular nonlinear boundary value problems, 华中师范大学学报, 25 (3) (1991), 261-266. [86] (Sci) Deng Yinbin, H. S. Zhou, X. P. Zhu, On the existence and Lp(RN) bifurcation for the semilinear elliptic equation, Journal of Mathematical Analysis and Application, 154(1)(1991), 116-133. [87] (SciE) Daoming. Cao, Deng Yinbin, On the existence and nodal character of the solutions of singular nonlinear boundary value problems, Acta Mathematica Scientia, 11 (4) (1991), 443-461. [88] Huansong Zhou, Deng Yinbin, The Lp bifurcation problem for semlinear elliptic equations in striplike domains, 华中师范大学学报,25 (1)(1991), 1-7(in Chinese). [89] 周焕松, Deng Yinbin, 带形区域上半线性椭圆方程的Lp分歧问题, 华中师范大学学报, 25(1) (1991). [90] (Sci) Deng Yinbin, Existence and multiple positive solutions for a semilinear equation with critical exponent, Proceedings of the Royal Society of Edinburgh Series A, 122 (1-2) (1992),161-175. [91] (Sci) Deng Yinbin, Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems involving critical exponents, Communication in Partial Differential Equations, 17(1-2)(1992), 33-53. [92] Deng Yinbin, Uniqueness of k-node solutions to a class of semilinear elliptic equations in Rn, 数学物理学报, 12 (2)(1992), 140-149 (in Chinese). [93] Deng Yinbin, Existence of multiple positive solutions for △ u = λ u + u+ μf(x), Acta Mathematica Scientia, 9 (3) (1993), 311-320. [94] Deng Yinbin, 周昌裕, First eigenvalue of elliptic operators, 华中师范大学学报, 27(3) (1993), 280-284 ( in Chinese). [95] Deng Yinbin, D. M. Cao, Uniqueness of the positive solution for singular nonlinear boundary value problems, System Science and Mathematical Science, 6(1)(1993), 25-31. [96] (SciE) Deng Yinbin, X.J. Wang, S. P. Wu , Neumann problems of semilinear elliptic equations with limit nonlinearity in boundary condition, Chinese Annals Math. SeriesB, 15(3)(1994). [97] Y. G. Gu, Deng Yinbin, X. J. Wang, Existence of nontrivial solutions for critical semilinear biharmonic equations, System Science and Mathematical Science, 7 (2) (1994), 140-152. [98] Deng Yinbin, J. F. Yang, Existence of multiple solutions and bifurcation for critical semilinear biharmonic equations, Systems Science and Mathematical Sciences, 8(4)(1995), 319-326. [99] (Sci) X. J. Wang, Deng Yinbin, Existence of multiple solutions for nonlinear elliptic equations of nondivergence form, Journal of Mathematical Analysis and Application, 189(1995), 617-630. [100] (Sci) Deng Yinbin, and J. F. Yang, Existence of multiple solutions and nonlinear elliptic equations of nondivergence form, Journal of Mathematical Analysis and Applications,8(4)(1995), 319-326. [101] (Ei) Deng Yinbin, The estimates of eigenvalues for Laplace operator,Lecture Notes in Pure and Applied Mathematics, 178(1996), 15-20. [102] (Sci) Deng Yinbin, Y. Li, Existence and bifurcation of the positive solutions for a semilinear equation with critical exponent, Journal of Differential Equations, 130(1)(1996), 179-200. [103] Deng Yinbin, Y. Li, Existence of multiple positive solutions for a semilinear elliptic equation, Advance in Differential Equations, 2(3) (1997), 361-382. [104] Y. D. Peng, Deng Yinbin, The existence of nontrival solutions of critical semilinear equations, Acta Mathematica Scientia, 17(4)(1997), 452-4659 (in Chinese). [105] 郭真华, Deng Yinbin, -△u+u=Q(|x|)|u|p-1u的径向解结构, 华中师范大学学报, 31(3)(1997). [106] Deng Yinbin, Wang Gengsheng, Optimal control problems some semilinear elliptic differential equations involving Sobolev critial exponent, Analele Stiintifice: Universitatea Ovidius Constanta, 6(1) (1998), 43-60. [107] Deng Yinbin, Wang Gengsheng, Necessary conditions for optimal control problems governed by some nonlinear parabolic differential equations, Pan American Mathematical Journal, 8(4)(1998), 67-80. [108] Ma Yaming, Peng, S.J., Deng Yinbin, Existence of multiple positive solutions of critical semilinear elliptic problems in RN, 华中师范大学学报, 32(1)(1998), 1-6. [109] Zeng, X.Z., Deng Yinbin, Peng S.J., A barrier theorem for a biharmonic problem and its application, 华中师范大学学报, 32(4)(1998), 389-393 (Chinese). [110] (Sci) Deng Yinbin, Wang Gengsheng, Optimal control of some semilinear elliptic equations with critical exponent, Nonlinear Analysis,TMA , 36 (7) (1999), 915-922. [111] (Sci) Deng Yinbin, Wang Gengsheng, On inhomogeneous bihomonic equations involving critical exponents, Proceedings of the Royal Society of Edinburgh, Sect A, 129 (5) (1999), 925-946. [112] Ma Yaming, Deng Yinbin, Properties of solutions for a semilinear equation with critical exponent in RN, 华中师范大学学报, 33(1)(1999), 16-19. [113] (EI) Yi Liu, Yi Li, Deng Yinbin, Stability of a Semilinear Cauchy Problem, Proceeding of Nonlinear Partial Differential Equations. Wold Scientific Publishing, Edited by Hua Chen, 1999. [114] 郭真华, Deng Yinbin, △^2u=u+u+uf(x)的多解存在性, 数学物理学报, 19(2)(1999), 138-148. [115] (Sci) Yi Liu, Yi Li, Deng Yinbin, Separation property of solutions for a semilinear elliptic equation, Journal of Differential Equations, 163(2)(2000), 381-406. [116] (Ei) Deng Yinbin, Yi Li, Xuejin Zhao, Multiple solutions and bifurcation of nonhomogeneous semilinear elliptic equations in R^N, Progress in Nonlinear Analysis(Tianjin,1999), 81-102 NanKai Ser. Pure Appl. Math.Theoret. Phys. 6, World Sci. Publishing, River Edge, NJ, 2000. [117] Zeng Xianzhong, Deng Yinbin, Existence of multiple solutions for a semilinear biharmonic equation with critical exponent (Chinese), Acta Mathemaica Scientia, 20(4)(2000), 547-554. [118] (SciE) Deng Yinbin,The opial inequality in R^N, Acta Mathematica Scientia Series B, 21(4)(2001),572-576. [119] (Sci) Deng Yinbin, Peng S. J.,Existence of multiple positive solutions for inhomogeneous Neumann problem, Journal of Mathematical Analysis and Applications, 271(1)(2002), 155-174. [120] (Sci) Deng Yinbin, Li Yi, On the existence of multiple positive solutions for a semilinear problem in exterior domains, Journal of Differential Equations, 181(1)(2002), 197-229. [121] (Sci) Deng Yinbin, Taiping Liu, Tong Yang, Solutions of Euler-Poisson equations for Gaseous stars, Archive for Rational Mechanics Analysis, 164 (3) (2002), 261-285. [122] Kang Dongsheng, Zhao Zhanping, Deng Yinbin, 含临界指标的非齐次椭圆方程的解的存在性,华中师范大学学报,36 (2) (2002),133-137. [123] Kang Dongsheng, Deng Yinbin,Existence of solutions for an elliptic equation with singular coefficients,应用数学,15(3)(2002), 8-12 ( in Chinese).
研究项目
1) 科技部重点研发项目: 椭圆方程解的量化分析:集中解及格林函数的性态研究,总经费585万(65万/人,含间接经费15万),编号:2023YFA1010002,2023年12月-2028年11月,参与。 2)国家自然科学基金面上项目:关于Brezis-Nirenberg型问题的进一步研究,直接经费45万元,编号: 12271196,2023年元月-2026年12月,主持人。 3)国家自然科学基金数学天元基金天元数学访学项目:非线性薛定谔-泊松方程组正解的存在性及性态研究,直接经费20万, 编号:12226302,2023年元月-12月,主持人。 4)国家自然科学基金数学天元基金天元数学访学项目:带非局部项的薛定谔方程组正解的存在性及其性态研究,直接经费20万, 编号:11926320,2020年元月-12月,主持人。 5)国家自然科学基金重点项目:数学物理中的非线性椭圆型方程研究,子课题直接经费104万(总经费260万),(编号:11931012),2020年1月-2024年12月,子课题主持人。 6)国家自然科学基金天元基金:天元数学交流项目--混合型偏微分方程暨相关领域的前沿问题,直接经费30万,(编号:11826016),2018年6月-2018年12月,项目主持人。 7)国家自然科学基金面上项目:拟线性椭圆方程的多解及其性态,直接经费48万元(编号:11771170),2018年元月-2021年12月,项目主持人。 8)国家自然科学基金海外学者合作研究延续项目:非线性椭圆问题波峰解的存在性与局部唯一性;180万(直接经费),(编号:11629101),2017年1月-2020年12月。 9)国家自然科学基金天元基金项目:非线性分析国际会议暨第十九届全国非线性泛函分析会议;10万(直接经费),(编号:11626009 ),2016年5月-2016年12月。 10)国家自然科学基金天元基金项目:第十三届偏微分方程暑期讲习班暨学术会议,17万(编号:11526014),2015年5月-2015年12月。 11)国家自然科学基金国际合作项目:偏微分方程与变分方法国际会议,3万元(编号11410301017),2014-5-21 到 2014-8-26,项目负责人 12)国家自然科学基金面上项目:含临界指标的非线性椭圆问题的临界维现象,60万元(编号:11371160),2014年元月-2017年12月,项目主持人。 13)国家自然科学基金海外学者合作研究项目:缺乏紧性的非线性椭圆问题的多解及其性态研究, 20万,(编号: 11328101)2014年1月-2015年12月,主要参加者。 14)国家自然科学基金国际合作项目: 2012年5月, 2万元 λ 国家自然科学基金面上项目:几类非线性椭圆问题的多解及其性态研究,27万元人民币(编号:11071094)2011年元月—2013年12月 15)国家自然科学基金国际合作项目:非线性椭圆与抛物型方程研究的最新进展,2.5万人民币,(编号:11010301052) 2010年。 16)国家双语教学示范课建设项目,2009年,10万元人民币。 17)国家自然科学基金重点项目:非线性椭圆与抛物方程的理论及其应用研究130万元人民币(编号:10631030)2007年元月—2010年12月 18)高等学校博士学科点专项研究基金:非线性偏微分方程基本理论及其应用的研究,(编号:20060511001),2007、1—2009、12,(5万元人民币)。 19)国家自然科学基金国际合作项目:全空间中半线性椭圆方程的多解,1万人民币, 2006年。 20)国家自然科学基金天元基金项目:非线性PDE系列讲座, 8万元人民币 (编号 A0524609)2005年元月—12月。 21)国家自然科学基金项目面上项目:非线性椭圆问题与双调和问题的多解及其性态,20万元人民币(编号10471052) 2005-2007年,(项目主持人) 22)国家自然科学基金国际合作项目,半线性椭圆问题的正解的唯一性, 1.5万元人民币 (编号10410401146) 2004年,(项目主持人) 23)科技部重大基础研究前期研究专项,“非线性偏微分方程的若干问题”, 2002-2004 (总经费80万元, 共8人)(到学校经费6万元) 24)国家自然科学基金国际合作项目,“临界指标与临界维” (编号:10211091), 1万元人民币,2002年1月-2002年12月, (项目主持人)。 25)国家自然科学基金面上项目,“临界增长的非线性椭圆问题的多解与临界维” (编号:10171036), 15万元人民币, 2002年1月-2004年12月, (项目主持人)。 26)国家教育部优秀年轻教师基金项目, “RN中半线性椭圆问题的多解及其性态”(批号:教人司[2001]39号), 2001年1月-2001年12月,6万元(项目主持人)。 27)国家教育部骨干教师项目,“偏微分方程与最优控制”(编号:JJ-110-10511-1001), 12万元人民币,2000年1月-2002年1月,(项目主持人)。 28)国家自然科学基金面上项目,“无界域上一类半线性椭圆问题的多解及其分支”(编号:19671034), 6万元人民币,1997年1月-1999年12月, (项目主持人)。 29)国家教育部优秀年轻教师基金项目,“RN中半线性椭圆问题的多解及其性态”(批号:教人司[1996]486号), 5万元人民币,1997年1月-1999年12月,(项目主持人)。 30)国家教委优秀中青年出国留学项目,“半线性椭圆问题的波节解”, 5,000美元, 1994年8月-1995年8月,(项目主持人)。 31)国家自然科学基金青年基金项目,“临界增长的双调和方程” (编号:19201009), 1.3万元人民币,1993年元月-1995年12月,(项目主持人)。
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