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.
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页码：399 / 412
页数：14
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