EIGENVALUE PROBLEMS FOR p(x)-KIRCHHOFF-TYPE EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS

被引：0

作者：

Taarabti, Said ^{[1
]}

El Allali, Zakaria ^{[2
]}

Ben Haddouch, Khalil ^{[3
]}

Moutaouekkil, Loubna ^{[4
]}

机构：

[1] Ibn Zohr Univ, Natl Sch Appl Sci Agadir, Lab Syst Engn & Informat Technol LIS, Agadir, Morocco

[2] Mohammed First Univ, Multidisciplinary Fac Nador, Team Modeling & Sci Comp, Oujda, Morocco

[3] Sidi Mohamed Ben Abdellah Univ, Natl Sch Appl Sci Fez, Fes, Morocco

[4] Mohammed First Univ, Multidisciplinary Fac Nador, Team Modeling & Sci Comp, Dept Math, Oujda, Morocco

来源：

MATHEMATICAL REPORTS | 2021年 / 23卷 / 1-2期

关键词：

p(x)-Kirchhoff type equation; variational method; Mountain Pass theorem; Neumann boundary conditions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the existence of nontrivial weak solutions for a p(x)-Kirchhoff-type problem. By using the Mountain Pass theorem of Ambrosetti and Rabinowitz, Ekeland's variational principle and the theory of the variable exponent Sobolev spaces, we establish conditions for the existence of weak solutions.

引用

页码：233 / 248

页数：16

共 50 条

[31] Existence of solutions for a p(x)-Kirchhoff-type equation
Dai, Guowei
Hao, Ruifang
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (01) : 275 - 284
[32] General stability for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions
Jum-Ran Kang
Boundary Value Problems, 2017
[33] Existence of solutions for the Neumann boundary problem of Kirchhoff type equations
An, Yu-Cheng
Suo, Hong-Min
JOURNAL OF SPECTRAL THEORY, 2019, 9 (02) : 547 - 568
[34] General stability for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions
Kang, Jum-Ran
BOUNDARY VALUE PROBLEMS, 2017,
[35] Stability of a transmission problem for Kirchhoff-type wave equations with memory on the boundary
Park, Sun-Hye
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (10) : 3528 - 3537
[36] Concentrated solution of Kirchhoff-type equations
Lan, Enhao
APPLICABLE ANALYSIS, 2023, 102 (11) : 3091 - 3109
[37] EIGENVALUE ESTIMATES FOR STATIONARY p(x)-KIRCHHOFF PROBLEMS
Vilasi, Luca
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[38] Perturbed Kirchhoff-type p-Laplacian discrete problems
Shapour Heidarkhani
Giuseppe Caristi
Amjad Salari
Collectanea Mathematica, 2017, 68 : 401 - 418
[39] Geometric optics for the Kirchhoff-type equations
Yagdjian, K
JOURNAL D ANALYSE MATHEMATIQUE, 2003, 89 (1): : 57 - 112
[40] Geometric optics for the Kirchhoff-type equations
Karen Yagdjian
Journal d’Analyse Mathématique, 2003, 89 : 57 - 112

← 1 2 3 4 5 →