VARIATIONAL METHODS IN THE STUDY OF INEQUALITY PROBLEMS FOR NONLINEAR ELLIPTIC SYSTEMS WITH LACK OF COMPACTNESS

被引：0

作者：

Dinu, Teodora-Liliana ^{[1
]}

机构：

[1] Fratii Buzesti Coll, Dept Math, Bd Stirbei Voda 5, Craiova 200352, Romania

来源：

REAL ANALYSIS EXCHANGE | 2007年 / 33卷 / 01期

关键词：

nonlinear elliptic system; entire solution; Lipschitz functional; Clarke generalized gradient;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the existence of an entire weak solution for a class of stationary Schrodinger systems with subcritical discontinuous nonlinearities and lower bounded potentials that blow-up at infinity. The proof relies on Chang's version of the Mountain Pass Lemma for locally Lipschitz functionals. Our result generalizes in a nonsmooth framework, a result of Rabinowitz [12] related to entire solutions of the Schrodinger equation.

引用

页码：1 / 14

页数：14

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