ON A CLASS OF NONHOMOGENEOUS ELLIPTIC PROBLEMS INVOLVING EXPONENTIAL CRITICAL GROWTH

被引：0

作者：

de Souza, Manasses ^{[1
]}

de Medeiros, Everaldo ^{[1
]}

Severo, Uberlandio ^{[1
]}

机构：

[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2014年 / 44卷 / 02期

关键词：

Critical growth; Trudinger-Moser inequality; fixed point result; discontinuous nonlinearity; SCALAR FIELD-EQUATIONS; NONTRIVIAL SOLUTION; EXISTENCE; INEQUALITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish the existence of solutions for elliptic equations of the form -div(vertical bar del u vertical bar(n-2)del u)+V(x)vertical bar u vertical bar(n-2)u = g(x, u)+lambda h in R-n with n >= 2. Here the potential V(x) can change sign and the nonlinearity g(x, u) is possibly discontinuous and may exhibit exponential growth. The proof relies on the application of a fixed point result and a version of the Trudinger-Moser inequality.

引用

页码：399 / 412

页数：14

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