Existence of positive solutions to elliptic problems involving the fractional Laplacian

被引：0

作者：

Ge, Bin ^{[1
]}

Zhang, Chao ^{[2
]}

机构：

[1] Harbin Engn Univ, Dept Appl Math, Harbin 150001, Peoples R China

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2015年

基金：

中国国家自然科学基金;

关键词：

fractional-Laplacian; variational method; positive solutions; Pohozaev type identity;

D O I：

10.1186/s13661-015-0501-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper focuses on the following elliptic problem involving a fractional Laplacian: (-Delta)(alpha)u + V(x)u = f(u) in R-N,R- where N >= 2, alpha is an element of(0, 1), (-Delta)(alpha) stands for the fractional Laplacian. Using some variational methods, we obtain the existence of positive solutions without compactness conditions.

引用

页码：1 / 12

页数：12