On a nonlinear elliptic system with symmetric coupling

被引：3

作者：

Agudelo, Oscar ^{[2
]}

Ruf, Bernhard ^{[1
]}

Velez, Carlos ^{[3
]}

机构：

[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Univ Chile, Dept Ingn Matemat, Santiago, Chile

[3] Univ Nacl Colombia Medellin, Escuela Matemat, Medellin, Colombia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 11期

关键词：

Elliptic system; Lyapunov-Schmidt reduction method; Mountain Pass Theorem;

D O I：

10.1016/j.na.2012.03.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Multiplicity results are proved for the nonlinear elliptic system {-Delta u + g(v) = 0 -Delta v + g(u) = 0 in Omega, u = v = 0 on partial derivative Omega, where Omega subset of R-N is a bounded domain with smooth boundary and g : R -> R is a nonlinear C-1-function which satisfies additional conditions. No assumption of symmetry on g is imposed. Extensive use is made of a global version of the Lyapunov-Schmidt reduction method due to Castro and Lazer and of symmetric versions of the Mountain Pass Theorem. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：4315 / 4324

页数：10

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