Existence of solutions for the Neumann boundary problem of Kirchhoff type equations

被引：2

作者：

An, Yu-Cheng ^{[1
]}

Suo, Hong-Min ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China

[2] Guizhou Minzu Univ, Sch Sci, Guiyang 550025, Guizhou, Peoples R China

来源：

JOURNAL OF SPECTRAL THEORY | 2019年 / 9卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Nonlinear eigenvalues; Kirchhoff type equation; variational methods; G-linking theorem; existence of solutions; NONTRIVIAL SOLUTIONS; POSITIVE SOLUTIONS; MULTIPLE SOLUTIONS;

D O I：

10.4171/JST/255

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of weak solutions is obtained for some Kirchhoff type equations with Neumann boundary conditions by using the G-linking theorem in the critical point theory.

引用

页码：547 / 568

页数：22

共 50 条

[41] INFINITELY MANY SOLUTIONS FOR KIRCHHOFF TYPE PROBLEMS WITH NONLINEAR NEUMANN BOUNDARY CONDITIONS
Wang, Wei-Bing
Tang, Wei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[42] Existence of Positive Solutions for Neumann Boundary Value Problem with a Variable Coefficient
Yan, Dongming
Zhang, Qiang
Pan, Zhigang
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 2011
[43] Multiple existence of solutions for a semilinear elliptic problem with Neumann boundary condition
Hirano, N
Kim, WS
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (01) : 210 - 218
[44] Multiple solutions of Kirchhoff type equations involving Neumann conditions and critical growth
Lei, Jun
Suo, Hongmin
AIMS MATHEMATICS, 2021, 6 (04): : 3821 - 3837
[45] Existence of Solution for a Singular Fractional Boundary Value Problem of Kirchhoff Type
Alyami, Maryam Ahmed
FILOMAT, 2022, 36 (17) : 5803 - 5812
[46] On the Existence of Solutions for Some Nondegenerate Nonlinear Wave Equations of Kirchhoff Type
Jong Yeoul Park
Jeong Ja Bae
Czechoslovak Mathematical Journal, 2002, 52 : 781 - 795
[47] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR SCHRoDINGER-KIRCHHOFF-TYPE EQUATIONS
Chen, Haibo
Liu, Hongliang
Xu, Liping
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) : 201 - 215
[48] ON THE EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR SOME NONLINEAR WAVE EQUATIONS OF KIRCHHOFF TYPE
Wu, Shun-Tang
Tsai, Long-Yi
TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (04): : 1543 - 1570
[49] On existence and multiplicity of solutions for Kirchhoff-type equations with a nonsmooth potential
Yuan, Ziqing
Huang, Lihong
BOUNDARY VALUE PROBLEMS, 2015,
[50] EXISTENCE OF GROUND STATE SOLUTIONS TO THE NONLINEAR KIRCHHOFF TYPE EQUATIONS WITH POTENTIALS
Ikoma, Norihisa
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (03) : 943 - 966

← 1 2 3 4 5 →