Work

p(x)-biharmonic equations involving (h,r(x))-Hardy singular coefficients with no-flux boundary conditions

Year: 2024

Type: article

Abstract: 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.

Source: Topological Methods in Nonlinear Analysis

DOI: 10.12775/tmna.2024.016

Authors: Jian Liu, Zengqin Zhao

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4402782391

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