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

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