On the Existence and Stability of Solutions for a System of Elliptic Equations

被引：0

作者：

Marek Galewski

Aleksandra Orpel

机构：

[1] University of Lodz,Faculty of Mathematics and Computer Science

来源：

Mediterranean Journal of Mathematics | 2008年 / 5卷

关键词：

Nonconvex elliptic Dirichlet problems; positive solutions; duality method; variational method; 35B18;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show, using a dual variational method developed in the paper, the existence of solutions for a system of Dirichlet problems for partial differential equations involving p– and q–Laplacian. The stability of solutions and the existence of positive solutions is considered in the superlinear case.

引用

页码：187 / 198

页数：11

共 50 条

[1] On the existence and stability of solutions for a system of elliptic equations
Galewski, Marek
Orpel, Aleksandra
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2008, 5 (02) : 187 - 198
[2] EXISTENCE OF SOLUTIONS FOR A SUBLINEAR SYSTEM OF ELLIPTIC EQUATIONS
Cid, Carlos
Yarur, Cecilia
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2000,
[3] EXISTENCE OF SOLUTIONS FOR A SYSTEM OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
Dalmasso, Robert
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[4] Existence and stability of positive solutions for an elliptic cooperative system
Hei, LJ
Wu, JH
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2005, 21 (05) : 1113 - 1120
[5] Existence and Stability of Positive Solutions for an Elliptic Cooperative System
Li Jun Hei
Jian Hua Wu
Acta Mathematica Sinica, 2005, 21 : 1113 - 1120
[6] Existence and Stability of Positive Solutions for an Elliptic Cooperative System
Li Jun HEI College of Mathematics and Information Science
Acta Mathematica Sinica(English Series), 2005, 21 (05) : 1113 - 1120
[7] Existence and Stability of Solutions of General Semilinear Elliptic Equations with Measure Data
Veron, Laurent
ADVANCED NONLINEAR STUDIES, 2013, 13 (02) : 447 - 460
[8] On the existence of solutions for an elliptic system of equations with arbitrary order growth
Zhong-yuan Liu
Acta Mathematicae Applicatae Sinica, English Series, 2013, 29 : 415 - 424
[9] On the Existence of Solutions for an Elliptic System of Equations with Arbitrary Order Growth
Liu, Zhong-yuan
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2013, 29 (02): : 415 - 424
[10] A priori estimates and existence of solutions to a system of nonlinear elliptic equations
Jiang, Yongsheng
Wei, Na
Wu, Yonghong
APPLIED MATHEMATICS LETTERS, 2024, 153

← 1 2 3 4 5 →