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.
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页码：1 / 14
页数：14
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