Existence and Multiplicity of Solutions for Nonlinear Elliptic Equations of p-Laplace Type in RN

被引：2
|
作者：
Lee, Ji Soo [1 ]
Kim, Yun-Ho [1 ]
机构：
[1] Sangmyung Univ, Dept Math Educ, Seoul 110743, South Korea
来源：
FILOMAT | 2016年 / 30卷 / 07期
关键词：
p-Laplace type; Weak solution; Mountain pass theorem; Fountain theorem; Weighted Lebesgue-Sobolev spaces; POSITIVE SOLUTIONS;
D O I：
10.2298/FIL1607029L
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the following elliptic equation: -div(phi(x, del u)) = lambda f(x, u) in R-N, where the function phi : R-N x R-N -> R-N is of type |v|(p-2) v with a real constant p > 1 and f : R-N x R -> R satisfies a Caratheodory condition.
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页码：2029 / 2043
页数：15
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