p(x)-BIHARMONIC EQUATIONS INVOLVING (h, r(x))-HARDY SINGULAR COEFFICIENTS WITH NO-FLUX BOUNDARY CONDITIONS

被引：0

作者：

Liu, Jian ^{[1
]}

Zhao, Zengqin ^{[2
]}

机构：

[1] Shandong Univ Finance & Econ, Sch Stat & Math, Jinan 250014, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2024年 / 64卷 / 02期

关键词：

p(x)-biharmonic equations; (h; r(x))-Hardy potentials; variable exponent spaces; INEQUALITIES; EXISTENCE;

D O I：

10.12775/TMNA.2024.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we investigate p(x)-biharmonic equations involving two kinds of different Hardy potentials, in which the r(x)-Hardy potentials are seldom mentioned in previous papers. New criteria for the existence of generalized solutions are reestablished when the nonlinear terms satisfying appropriate assumptions. The results are based on variational methods and the theory of variable exponent Sobolev spaces.

引用

页码：561 / 576

页数：16

共 50 条

[31] EXISTENCE OF THREE SOLUTIONS FOR A NAVIER BOUNDARY VALUE PROBLEM INVOLVING THE p(x)-BIHARMONIC
Yin, Honghui
Liu, Ying
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (06) : 1817 - 1826
[32] THE FIBERING MAP APPROACH FOR A SINGULAR ELLIPTIC SYSTEM INVOLVING THE p(x)-LAPLACIAN AND NONLINEAR BOUNDARY CONDITIONS
Kratou, Mouna
Saoudi, Kamel
REVISTA DE LA UNION MATEMATICA ARGENTINA, 2021, 62 (01): : 171 - 189
[33] On a p(x)-biharmonic Kirchhoff type problem with indefinite weight and no flux boundary condition
Mohamed Talbi
Mohammed Filali
khalid Soualhine
Najib Tsouli
Collectanea Mathematica, 2022, 73 : 237 - 252
[34] On a p(x)-biharmonic Kirchhoff type problem with indefinite weight and no flux boundary condition
Talbi, Mohamed
Filali, Mohammed
Soualhine, Khalid
Tsouli, Najib
COLLECTANEA MATHEMATICA, 2022, 73 (02) : 237 - 252
[35] EIGENVALUES OF SOME p(x)-BIHARMONIC PROBLEMS UNDER NEUMANN BOUNDARY CONDITIONS
Hsini, Mounir
Irzi, Nawal
Kefi, Khaled
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2018, 48 (08) : 2543 - 2558
[36] Existence of solutions for a p(x)-biharmonic problem under Neumann boundary conditions
Hsini, Mounir
Irzi, Nawal
Kefi, Khaled
APPLICABLE ANALYSIS, 2021, 100 (10) : 2188 - 2199
[37] Existence and Multiplicity of Solutions for a p(x)-biharmonic Problem with Neumann Boundary Conditions
El Amrouss, Abdel Rachid
Moradi, Fouzia
Moussaoui, Mimoun
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
[38] THE EXISTENCE OF WEAK SOLUTIONS OF p(x)-BIHARMONIC EQUATION WITH NAVIER BOUNDARY CONDITIONS
Zhao, Yanyan
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2012, 9 (02): : 115 - 121
[39] On Nonlocal p(x)-Laplacian Problems Involving No Flux Boundary Condition
Ourraoui, Anass
NOTE DI MATEMATICA, 2015, 35 (02): : 69 - 80
[40] Weak Solution to p(x)-Kirchoff Type Problems Under no-flux Boundary Condition by Topological Degree
Yacini, Soukaina
Allalou, Chakir
Hilal, Khalid
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41

← 1 2 3 4 5 →