【综合简介】

杨阳，女，中共党员，江南大学数学与数据科学学院教授、硕士生导师。

教学方面，担任《高等数学》《线性代数》《数学分析》《现代分析基础》《Advanced Mathematics》《Linear Algebra》《Probability and Mathematical Statistics》等课程的教学工作及全国大学生数学竞赛的指导教师。

科研方面，发表SCI科研论文50多篇, 主持及参与国家自然科学基金及江苏省自然科学基金等项目，目前担任SCI源期刊Boundary Value Problems编委及德国Zentralblatt MATH、美国数学学会评论员。

【工作及研究经历】：

2026年1月至今，江南大学数学与数据学院工作

2002年至2026年1月，江南大学理学院工作；

2015年6月-2015年7月：中国科学院数学与系统科学研究院,访问学者。

2013年12月-2014年11月：Florida Institute of Technology(美国), 博士后。

【研究领域】

应用数学：非线性泛函分析在偏微分方程中的应用

【主要论著】（著作和论文）

主要论文：:

[1] Kanishka Perera; Marco Squassina; Yang Yang, Bifurcation and multiplicity results for critical p-Laplacian problems, Topological Methods in Nonlinear Analysis. 43(2) 2016.

[2] Yang. Yang, Kanishka Perera, (N,q)-Laplacian problems with critical Trudinger-Moser nonlinearities, Bull. Lond. Math. Soc. 48, 260-270, 2016.

[3] Sunra Mosconi; Kanishka Perera; Marco Squassina; Yang Yang, The Brezis–Nirenberg problem for the fractional p-Laplacian, Calculus of Variations, 55(105), 2016.

[4] Yang Yang; Kanishka Perera, N-Laplacian problems with critical Trudinger-Moser nonlinearities, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5). XVI, 1123-1138, 2016.

[5] Li Huang; Yang Yang, Asymmetric critical fractional p Laplacian problems,Electric Journal of Differential Equations, 103, 1-12, 2017.

[6] Lorenzo Brasco; Marco Squassina; Yang Yang，Global compactness results for nonlocal problems，Discrete and Continuous Dynamical Systems - Series S, 11, 391-424, 2018.

[7] Kanishka Perera; Yang Yang; Zhitao Zhang, Asymmetric critical p-Laplacian problems, Calc. Var. Partial Differential Equations, 57(131), 2018.

[8] Yuling Wang, Yang Yang, Bifurcation results for the critical Choquard problem involving fractional p-Laplacian operator, Boundary Value Problems, 132, 2018.

[9] Yang Yang; Kanishka Perera, Existence and nondegeneracy of ground states in critical free boundary problems, Nonlinear Analysis-Theory Methods & Applications, 180, 75-93, 2019.

[10] Yang Yang; Qianyu Hong; Xudong Shang，Existence of solutions for non-local elliptic systems with Hardy-Littlewood-Sobolev critical nonlinearities，Electron. J. Differential Equations, 90, 1-32, 2019.

[11] Bingzhong Hu; Yang Yang, A note on the combination between local and nonlocal p-Laplacian operators, Complex Variables and Elliptic equations,  65(10): 1763–1776, 2020.

[12] Fanfan Chen, Yang Yang, Existence of solutions for the fractional (p,q)-Laplacian problems involving a critical Sobolev exponent, Acta Mathematica Scientia, 40(B) (6):1-13, 2020.

[13] Qianyu Hong, Yang Yang, On critical fractional systems with Hardy-Littlewood-Sobolev nonlinearities, Rocky Mountain Journal of Mathematics,  50(5): 1661-1683, 2020.

[14] Yuanyuan Zhang; Yang Yang, Positive solutions for semipositone (p,N)-Laplacian problems with critical Trudinger–Moser nonlinearities, Rev. Mat. Complut. 35 (2022), no. 1, 133–146

[15] Yuanyuan Zhang; Yang Yang, Least energy sign-changing solution for N-Laplacian problem with logarithmic and exponential nonlinearities，Journal of Mathematical Analysis and Applications, 505(1), 2022, 125432

[16] Chenjun Ding, Yang Yang, Existence of solutions for fractional p&q-Laplacian system involving critical sandwich-type nonlinearities, Applicable Analysis,  102 (2023), no. 2, 485–493.

[17] Jialin Jiang; Yang Yang,The nodal solution for a problem involving the logarithmic and exponential nonlinearities,  Complex Var. Elliptic Equ. 69 (2024), no. 5, 773–794.

[18] Yiying Mao; Yang Yang*,Multiplicity of Solutions for the Noncooperative Kirchhoff-Type Variable Exponent Elliptic System with Nonlinear Boundary Conditions,Axioms, 2024, 13(5): 325.

[19] Xuehui Cui; Yang Yang, Existence of Solutions for Fractional ( p , q ) -Laplacian Problems Involving Critical Hardy–Sobolev Nonlinearities,Taiwanese J. Math. 28 (2024), no. 5, 947–967.

[20]Sheng Shi;and Yang Yang,Existence of Solutions for a Perturbed N-Laplacian Boundary Value Problem with Critical Growth, Axioms 2024, 13, 733.

[21] Jialin Jiang; Yang Yang, Existence of solutions for the (p,N) -Laplacian equation with logarithmic and critical exponential nonlinearities, Topological Methods in Nonlinear Analysis, . 64 (2024), no. 1, 243–256.

[22] Zilin Chen, Yang Yang,  Normalized Solutions for the Fractional Choquard Equations with Lower Critical Exponent and Nonlocal Perturbation. Taiwanese Journal of Mathematics，29 (2025), no. 2, 261–294

[23]Zilin Chen, Yang Yang; Normalized solutions for fractional Schrodinger-Choquard systems with Sobolev critical coupled nonlinearity,   Electron. J. Differential EquationsVol. 2025 (2025), No. 49, pp. 1-22

[24]Zilin Chen; Yang Yang,Normalized solutions for the coupled Choquard system with exponential critical growth in R2, Journal of Elliptic and Parabolic Equations,2025, 11(-): 1813-1840

[25] Xiangyu Ji; Yang Yang,Normalized Solutions for the Nonlinear Biharmonic Choquard Equation with Hardy–Littlewood–Sobolev Upper Critical Exponent,Taiwanese Journal of Mathematics,30 (2026), no. 1, 83–119.

[26] Sheng Shi, Yang Yang, Least energy nodal solutions for a degenerate Kirchhoff weighted (N, p)-Laplacian problem, Complex Var. Elliptic Equ. 71 (2026), no. 2, 223–244

[27] Xuehui Cui; Yang Yang, Normalized solutions to the fractional p-Laplacian equations with critical Hardy-Sobolev potential，COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2026 71(5), pp.969-997

[28] Zilin Chen; Yang Yang, Positive and Multiple Normalized Solutions for the

Fractional Critical Schrödinger Equation on Bounded Domains, Bull Braz Math Soc, New Series (2026) 57:15

[29] Junjie Chu,Yang Yang, Normalized Solutions to (p,q)-Laplacian Equations: Existence and Multiplicity, Taiwanese Journal of Mathematics, In press

[30]Xiangyu Ji, Yang Yang, Normalized solutions to the nonlinear biharmonic Choquard system, Complex Variables and Elliptic Equation. In press

[31] XiangyuJi,Yang Yang, Normalized solutions to the nonlinear biharmonic Choquard equation with critical growth,COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, https://doi.org/10.1080/17476933.2026.2647282, In press

【在读硕、博士人数】

硕士 7人

【招生对象】

偏微分方程方向硕士

【以上资料更新日期】

2026年4月