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.
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页码：60 / 65
页数：6
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