Multiple solutions for the fractional Laplacian problems with different asymptotic limits near infinity

被引：1

作者：

Chen, Yutong ^{[1
]}

Su, Jiabao ^{[1
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 76卷

关键词：

Fractional Laplacian; Mountain pass theorem; Cut-off technique; Different asymptotic limits at infinity; BREZIS-NIRENBERG RESULT; OPERATORS; EQUATIONS;

D O I：

10.1016/j.aml.2017.07.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain the existence of two one-sign nontrivial solutions for the fractional Laplacian equations with the nonlinearity having different asymptotic limits at infinity via the mountain pass theorem and the cut-off techniques. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：60 / 65

页数：6

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