Multiple solutions for a class of fractional equations

被引：0
作者：
Pei, Ruichang [1 ]
Zhang, Jihui [2 ]
Ma, Caochuan [1 ]
机构：
[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
[2] Nanjing Normal Univ, Inst Math, Sch Math & Comp Sci, Nanjing 210097, Jiangsu, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2015年 / 93期
关键词：
fractional Laplacian; multiple solutions; asymptotically linear; mountain pass theorem; Morse theory;
D O I：
10.14232/ejqtde.2015.1.93
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study a class of fractional Laplace equations with asymptotically linear right-hand side. The existence results of three nontrivial solutions under the resonance and non-resonance conditions are established by using the minimax method and Morse theory.
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页数：12
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