苏加宝的学术成果

1. 苏加宝的学术成果

苏加宝教授及其课题组的主要学术成果如下：  给出了保证全空间上的渐近线性薛定鄂方程紧性的分析条件，并应用于多解和变号解的研究。与王志强、Willem（比利时皇家科学院院士）合作研究了带有奇异位势的半线性薛定鄂方程基态解及解的衰减性质；建立了带权函数空间的Sobolev型嵌入定理，为用临界点理论和变分方法研究奇异或退化的拟线性椭圆型方程及方程组建立了基本的变分框架。苏加宝教授及其课题组在研究中得到全新的一系列嵌入结果，成为数学、物理相关研究领域的基本工具，其中所建立的研究思想、方法和结果为进一步相关研究开辟了新的道路。其中的两篇论文于2007年发表后，引起了数学家的极大兴趣，已被他人引用了40多次，其中一篇被物理学中 (Journal of Physics A: Mathematical and Theoretical, 41(2008))研究在零温度下Kohn-Sham系统的论文引用。

2. 苏加宝的学习经历

1997年3月12日，获中国科学院数学研究所理学博士学位  1994年9月至1997年7月，在中国科学院数学研究所攻读理学博士学位  1991年9月至1994年7月，在河北师范大学数学系攻读理学硕士学位  1986年9月至1991年9月，在陕西省化肥厂子弟中学工作  1984年7月至1987年7月，在陕西师范大学数学系自修本科学历  1982年7月至1986年9月，在陕西省横山县第二中学工作  1980年9月至1982年7月，在陕西师范大学榆林专修科数学系学习

3. 苏加宝的发表论著

苏加宝教授及其课题组发表学术论文40多篇，研究内容涉及无穷维Morse 理论的应用、临界群计算、半线性椭圆共振问题、超线性椭圆问题的多解性、Hamilton系统周期解、拟线性椭圆方程(P-Laplace)、Henon方程基态解的非对称性、非线性薛定鄂方程、Sobolev型嵌入定理等方面，研究成果在包括Advances in Mathematics、Journal of Differential Equations、Calculus Variations and Partial Differential Equations等在内的20种国际学术期刊上发表，大部分是SCI期刊论文，得到国际同行的关注和大量引用，已被30多个国家和地区的近200名数学家发表在近100种学术期刊、8本专著和预印本引用近400次，其中被Annales Institut H.Poincare Analyse NonLineaire、Memoirs of AMS、J.Funct.Anal.等在内的70多种SCI、SCIE期刊引用300多次，被国内外30多篇博士学位论文引用。 Mingzheng Sun, Hongrui Cai, Jiabao Su, Morse theory for the p-Laplacian equation with concave nonlinearities. Preprint2013,  Meiqin Li, Jiabao Su, Nonhomogeneous quasilinear elliptic coercive problem on R^N with singular potentials. Preprint 2011. Preprint 2011. Jiabao Su and Zhi-Qiang Wang, Multiple solutions for coercive elliptic equations preprint Jiabao Su, Zhenqi Zhang, Existence and nonexistence results for nonhomogeneous quasilinear elliptic equations on exterior ball with singular potentials. Preprint 2011 Anran Li and Jiabao Su, Existence and multiplicity of solutions for Kirchhoff-type equation with radial potentials in R^3. Zeitschrift fuer Angewandte Mathematik und Physik, to appear. Anran Li and Jiabao Su, Multiple nontrivial solutions to a p-Kirchhoff equation. Communications in Pure and Applied Analysis, to appear. Leiga Zhao, Jiabao Su, Caiyun Wang, On the existence of solutions for quasilinear elliptic problems with radial potentials on exterior ball. Mathematische Nachrichten, to appear. Mingzheng Sun, Meiling Zhang, Jiabao Su, Critical groups at zero and multiple solutions for a quasilinear elliptic equations. Journal of Mathematical Analysis and Applications,428, 1(2015), 696--712. Mingzheng Sun, Jiabao Su, Leiga Zhao,Infinitely many solutions for a Schrodinger-Poisson system with concave and convex nonlinearities. Discrete and Continuous Dynamic Systems, 35(2015), 427--440. Mingzheng Sun, Jiabao Su, Nontrivial solutions of a semilinear elliptic problem with resonance at zero. Applied Mathematical Letters, 34(2014),60--64. Zhanping Liang, Jiabao Su, Solutions to inhomogeneous quasilinear elliptic problems with concave-convex type nonlinearities. Acta Mathematica Scientia, 2014, 34A(2):217--226 Anran Li, Jiabao Su and Leiga Zhao, Existence and multiplicity of solutions of Schrodinger-Poisson systems with radial potentials. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 144, 02(2014),319--332. Anran Li, Hongrui Cai and Jiabao Su, Quasilinear elliptic equations with singular potentials and bounded discontinuous nonlinearities Topological Methods in Nonlinear Analysis, 43, 2(2014), 439--450. Hongrui Cai, Jiabao Su and Yang Sun, Sobolev type embeddings and an inhomogeneous quasilinear elliptic equation on R^N with singular weights Nonlinear Analysis, 96(2014), 59-67. Hongrui Cai, Jiabao Su, Gradient systems with sublinear term near the origin and asymptotically linear term near infinity Boundary Value Problems 2013 (1) 280 Anran Li, and Jiabao Su, Superlinear gradient system with a parameter. Boundary Value Problems 2012 (1) :110 Leiga Zhao, Anran Li, Jiabao Su,Existence and multiplicity results for quasilinear elliptic exterior problems with nonlinear boundary conditions. Nonlinear Analysis， 75(2012), 2520--2533. Zhanping Liang and Jiabao Su, Existence of solitary waves to a generalized Kadomtsev-Petviashvili equation. Acta Mathematica Scientia, 32B(3)(2012), 1149--1156. Jiabao Su, Quasilinear elliptic equations on R^N with singular potentials and bounded nonlinearity Zeitschrift fuer Angewandte Mathematik und Physik, 63(2012),51-64. Jiabao Su, Rushun Tian, Weighted Sobolev type embeddings and coercive quasilinear elliptic equations on R^N. Proceedings of the American Mathematical Society, 140,3(2012), 891--903. Xiaoli Li, Jiabao Su and Rushun Tian, Multiple periodic solutions of the second order Hamiltonian systems with superlinear terms Journal of Mathematical Analysis and Applications, 385(2012), 1-11. Jiabao Su, Ruiyi Zeng, Multiple periodic solutions of superlinear ordinary differential equations with a parameter Nonlinear Analysis， 74, 17(2011), 6442-6450. Lina Lv, Jiabao Su, Solutions to a gradient system with resonance at both zero and infinity. Nonlinear Analysis, 74,16(2011),5340-5351. Jiabao Su and Zhi-Qiang Wang, Sobolev type embedding and quasilinear elliptic equations with radial potentials. Journal of Differential Equations, 250(2011), 223-242 Jiabao Su, Rushun Tian, Weighted Sobolev embeddings and radial solutions of inhomogeneous quasilinear elliptic equations Communications in Pure and Applied Analysis, 9,4(2010),885-904. Zhanping Liang, Jiabao Su, Critical point theorem for asymptotically quadratic functional without compactness. Journal of Mathematical Analysis and Applications, 370(2010), 649-658. Zhaoli Liu, Jiabao Su, Zhi-Qiang Wang, Elliptic systems on R^N with nonlinearities of linear growth, Progress in variational methods, 90--106, Nankai Ser. Pure Appl. Math. Theoret. Phys., 7, World Sci. Publ., Hackensack, NJ, 2011. Zhaoli Liu, Jiabao Su, Zhi-Qiang Wang, Solutions of elliptic problems with linearly bounded nonlinearities. Calculus Variations and Partial Differential Equations, 35, 4(2009),463-480. Zhanping Liang and Jiabao Su, Multiple solutions for semilinear elliptic boundary value problems with double resonance Journal of Mathematical Analysis and Applications, 354,1(2009),147-158. Jiabao Su, Leiga Zhao, Multiple periodic solutions of ordinary differential equations with double resonance. Nonlinear Analysis, 70,4(2009), 1520-1527. Zhaoli Liu, Jiabao Su, and Zhi-Qiang Wang, A twist condition and periodic solutions of Hamiltonian systems. Advances in Mathematics, 218, 6(2008), 1895-1913. Jiabao Su, Zhaoli Liu, Bounded resonance problems for semilinear elliptic equations. Discrete and Continuous Dynamic Systems, 19,2(2007), 431-445. Jiabao Su, Zhi-Qiang Wang, Michel Willem, Nonlinear Schrodinger equations with unbounded and decaying radial potentials. Communications in Contemporary Mathematics, 9,4(2007),571-583. Jiabao Su, Zhi-Qiang Wang, Michel Willem: Weighted Sobolev embedding with unbounded and decaying radial potentials. Journal of Differential Equations, 238,1(2007),201-219. Paul H. Rabinowitz, Jiabao Su, Zhi-Qiang Wang, Multiple solutions of superlinear elliptic equations Rendiconti Lincei Matematicae Applicazioni,18(2007),97-108. (Italy) Zhaoli Liu, Jiabao Su, Tobias Weth, Compactness results for Schrodinger equations with asymptotically linear terms. Journal of Differential Equations, 231,2(2006), 501-512. Jiabao Su, Leiga Zhao, An elliptic resonance problem with multiple solutions Journal of Mathematical Analysis and Applications,319(2006),604-616. Jiabao Su, Hong Li, Multiplicity results for the two-point boundary value problems at resonance Acta Mathematica Scientia, 26,1(2006),152-162. Zhaoli Liu, Jiabao Su, Solutions of some semilinear elliptic problems with perturbation terms of arbitrary growth Discrete and Continuous Dynamic Systems, Vol.10,3(2004),617-634. Jiu Quansen, Jiabao Su, Existence and multiplicity results for Dirichlet problem with p-Laplacian Journal of Mathematical Analysis and Applications. 281(2003),587-601 Jiabao Su, Multiplicity results for asymptotically linear elliptic problems at resonance. Journal of Mathematical Analysis and Applications, 278(2003),397-408 Jiabao Su, Zhaoli Liu, Nontrivial solutions of perturbed of p-Laplacian on R^N. Mathematische Nachrichen, 248/249(2003),190-199 Jiabao Su, Nontrivial critical points for asymptotically quadratic functional at resonance, Morse theory, minimax theory and their applications to nonlinear differential equations, 225--234, New Stud. Adv. Math., 1, Int. Press, Somerville, MA, 2003 Jiabao Su, Existence and multiplicity results for classes of elliptic resonant problems. Journal of Mathematics Analysis and Applications, 273,2(2002),565-578. D. Smets, Jiabao Su, M. Willem, Nonradial ground states for Henon equations Communications in Contemporary Mathematics, 4,3(2002),467-480. Shujie Li, K.Perera, Jiabao Su. On the role played by the Fucik spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist. Nonlinear Analysis, 49(2002),603-611. Jiabao Su. Semilinear elliptic Boundary value problems with double resonance between two consecutive eigenvalues. Nonlinear Analysis, 48,(2002),881-895. Jiaquan Liu, Jiabao Su. Remarks on multiple nontrivial solutions for quasi-linear resonant problems. Journal of Mathematics Analysis and Applications, 258,(2001),209-222. Shujie Li, K.Perera, Jiabao Su, Computations of critical groups in elliptic boundary value problems where the asymptotic limits may not exist. Proceedings of Royal Society Edinburgh (A) Mathematics, 131,3(2001),721-732 Jiabao Su, Chunlei Tang, Multiplicity results for semilinear elliptic equations with resonance at higher eigenvalues Nonlinear Analysis, 44(2001),311-321. 苏加宝, 李永青, 关于半线性椭圆共振问题的注记 数学学报, 43,6(2000),1135-1142. Jiabao Su, Existence of nontrivial periodic solutions for a class of resonance Hamiltonian systems. Journal of Mathematics Analysis and Applications. 233(1999),1-25. Jiabao Su, Nontrivial periodic solutions for the asymptotically linear Hamiltonian systems with resonance at infinity. Journal of Differential Equations.145,2(1998),252-273. Jiabao Su, Semilinear elliptic resonant problems at higher eigenvalues with unbounded terms, Acta Mathematica Sinica, New Series,14,3(1998),411-418. 苏加宝, 具有无界非线性项的半线性椭圆共振问题 数学学报, 41,3(1998),715-720. Shujie Li, Jiabao Su, Existence of multiple solutions of a two-point boundary value problem at resonance Topological Methods in Nonlinear Analysis, 10(1997),123-135. Shujie Li, Jiabao Su, Existence of multiple critical points for asymptotically quadratic functional with applications, Abstract and Applied Analysis, Vol.1,3(1996),277-289. Bingyou Li and Jiabao Su, Transfer open or closed set-valued mapping and generalization of H-KKM theorem with applications, Applied Mathematics and Mechanics, 15,10(1994), 981-989. 苏加宝， 广义H-KKM定理及其应用 河北师范大学学报（自然科学版）18,4(1994),1-4.