Existence of Solutions for a Fractional Laplacian Equation with Critical Nonlinearity

被引：2

作者：

Shen, Zifei ^{[1
]}

Gao, Fashun ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

SCHRODINGER-EQUATION; POSITIVE SOLUTIONS;

D O I：

10.1155/2013/638425

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the fractional Laplacian equation (-Delta)(s)u + lambda A(x)u = mu u + |mu|(2*(s)-2)u, x is an element of R-N, here N > 2s, s is an element of (0, 1), 2*(s) = 2N/(N-2s) is the critical exponent, and A(x) >= 0 is a real potential function. Employing the variational method we prove the existence of nontrivial solutions for mu small and lambda large.

引用

页数：9

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