Multiple solutions of nonlinear elliptic systems

被引：0

作者：

Andrés I. Ávila

Jianfu Yang

机构：

[1] Universidad de La Frontera,Departamento de Ingeniería Matemática

[2] The Chinese Academy of Sciences,Wuhan Institute of Physics and Mathematics

来源：

Nonlinear Differential Equations and Applications NoDEA | 2006年 / 12卷

关键词：

35J45; 35J50; 35J60; 35B38; Indefinite; semilinear; elliptic system; multiple solutions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We proved a multiplicity result for a nonlinear elliptic system in RN. The functional related to the system is strongly indefinite. We investigated the relation between the number of solutions and the topology of the set of the global maxima of the coefficients.

引用

页码：459 / 479

页数：20

共 50 条

[1] Multiple solutions of nonlinear elliptic systems
Avila, AI
Yang, JF
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2006, 12 (04): : 459 - 479
[2] Multiple positive solutions for semilinear elliptic systems with nonlinear boundary condition
Wu, Tsung-fang
APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) : 1712 - 1722
[3] MULTIPLE SOLUTIONS FOR NONLINEAR ELLIPTIC SYSTEMS WITH CHANGING-SIGN WEIGHTS
Chen, Huyuan
Yang, Jianfu
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2009, 22 (3-4) : 239 - 250
[4] MULTIPLE POSITIVE SOLUTIONS FOR CLASSES OF ELLIPTIC SYSTEMS WITH COMBINED NONLINEAR EFFECTS
Ali, Jaffar
Shivaji, R.
Ramaswamy, Mythily
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2006, 19 (06) : 669 - 680
[5] Nonnegative solutions for nonlinear elliptic systems
Peng, Chaoquan
Yang, Jianfu
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (01) : 633 - 653
[6] POSITIVE SOLUTIONS FOR NONLINEAR ELLIPTIC SYSTEMS
Ben Dekhil, Adel
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[7] Multiple positive solutions for linearly coupled nonlinear elliptic systems with critical exponent
Peng, Shuangjie
Shuai, Wei
Wang, Qingfang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (01) : 709 - 731
[8] Multiple positive solutions for a class of semilinear elliptic systems with nonlinear boundary condition
Li H.
Wu X.-P.
Tang C.-L.
Journal of Applied Mathematics and Computing, 2012, 38 (1-2) : 617 - 630
[9] Solutions with multiple peaks for nonlinear elliptic equations
Cao, DM
Noussair, ES
Yan, SS
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1999, 129 : 235 - 264
[10] Multiple solutions for fractional elliptic systems
Guo, Zhao
FORUM MATHEMATICUM, 2025, 37 (03) : 963 - 985

← 1 2 3 4 5 →