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

页码：76 / 78

页数：3

共 50 条

[1] MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR A CLASS OF FRACTIONAL ELLIPTIC EQUATIONS
Kenzizi, Tarek
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2021, 33 (03) : 315 - 325
[2] Existence and multiplicity of solutions for a class of fractional elliptic systems
de Souza, Manasses
COLLECTANEA MATHEMATICA, 2020, 71 (01) : 103 - 122
[3] Existence and multiplicity of solutions for a class of fractional elliptic systems
Manassés de Souza
Collectanea Mathematica, 2020, 71 : 103 - 122
[4] Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation
Xiaoming He
Wenming Zou
manuscripta mathematica, 2019, 158 : 159 - 203
[5] Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation
He, Xiaoming
Zou, Wenming
MANUSCRIPTA MATHEMATICA, 2019, 158 (1-2) : 159 - 203
[6] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC FIELD EQUATION ON RN
Alves, Claudianor O.
dos Santos, Alan C. B.
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2018, 24 (03) : 1231 - 1248
[7] Existence and multiplicity of positive entire solutions for a class of quasilinear elliptic equation
Yang, Z.D., 2001, Beijing University of Aeronautics and Astronautics (BUAA) (27):
[8] MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION
Wu, Ke
Wu, Xian
ACTA MATHEMATICA SCIENTIA, 2016, 36 (02) : 549 - 559
[9] Multiplicity of Solutions for an Elliptic Kirchhoff Equation
David Arcoya
José Carmona
Pedro J. Martínez-Aparicio
Milan Journal of Mathematics, 2022, 90 : 679 - 689
[10] Multiplicity of Solutions for an Elliptic Kirchhoff Equation
Arcoya, David
Carmona, Jose
Martinez-Aparicio, Pedro J.
MILAN JOURNAL OF MATHEMATICS, 2022, 90 (02) : 679 - 689

← 1 2 3 4 5 →