NONTRIVIAL SOLUTIONS FOR THE FRACTIONAL LAPLACIAN PROBLEMS WITHOUT ASYMPTOTIC LIMITS NEAR BOTH INFINITY AND ZERO

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：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 06期

关键词：

Fractional Laplacian; homotopy invariance; critical groups; Morse theory; BREZIS-NIRENBERG RESULT; BOUNDARY-VALUE-PROBLEMS; RESONANCE; EQUATIONS;

D O I：

10.3934/dcdss.2021007

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 nontrivial solutions for the fractional Laplacian equations with the nonlinearity may fail to have asymp-totic limits at zero and at infinity. We make use of a combination of homotopy invariance of critical groups and the topological version of linking methods.

引用

页码：1837 / 1855

页数：19

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