The Multiplicity of Solutions for a Certain Class of Fractional Elliptic Equation

被引：0
|
作者：
Zhang, Shifeng [1 ]
Jia, Zhiyang [1 ]
Wang, Jihe [1 ]
机构：
[1] Yunnan Univ, Tourism & Culture Coll, Lijiang, Peoples R China
来源：
PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, SIMULATION AND MODELLING | 2016年 / 41卷
关键词：
fractional laplace's equation; dirichlet boundary value condition; mountain pass theorem; positive solution; negative solution;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper explores the multiplicity of solutions for a Certain class of fractional elliptic equation under the Dirichlet boundary conditions. By using the asymptotic property of the nonlinear term f(x, u) at zero and at infinite point, the mountain pass theorem and proper truncation methods can be applied to get both a positive and a negative solution for all parameters under the condition of not satisfying the Ambrosetti-Rabinowitz.
引用
收藏
页码：76 / 78
页数：3
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