Existence of Nontrivial Weak Solutions to Quasi-Linear Elliptic Equations with Exponential Growth

被引：1

作者：

Wang Chong ^{[1
]}

机构：

[1] George Washington Univ, Dept Math, Washington, DC 20052 USA

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 26卷 / 01期

关键词：

Trudinger-Moser inequality; exponential growth;

D O I：

10.4208/jpde.v26.n1.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of nontrivial weak solutions to the following quasi-linear elliptic equations -Delta(n)u |V(x)| u|(n-2) u = f(x,u)/|x|(beta), x is an element of R-n (n >= 2), wher -Delta(n)u = -div(|del u|(n-2)del u), 0 <= beta < n, V: R-n -> R is a continuous dunction, f(x,u) is continuous in R-n x R and behaves like e(alpha un/n-1) as u -> +infinity.

引用

页码：25 / 38

页数：14

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