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.
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页码：1837 / 1855
页数：19
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