Existence and Multiplicity of Weak Solutions for a Class of Variable Exponent Elliptic Equations

Jingjing Liu; Chunshan Zhao

doi:10.4208/jpde.v38.n2.1

Existence and Multiplicity of Weak Solutions for a Class of Variable Exponent Elliptic Equations

Authors

Jingjing Liu
Chunshan Zhao

DOI:

https://doi.org/10.4208/jpde.v38.n2.1

Keywords:

Weak solutions, $p(x)$-Laplacian, weighted variable exponent Sobolev spaces.

Abstract

In this paper we will study the existence of one, two and three weak solutions for a class of variable exponent elliptic equations under appropriate growth conditions on the nonlinearity. Our technical approach is based on the existence theorems obtained by G. Bonanno.

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Published

2025-06-30

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Issue

Vol. 38 No. 2 (2025)

Section

Articles

How to Cite

Existence and Multiplicity of Weak Solutions for a Class of Variable Exponent Elliptic Equations. (2025). Journal of Partial Differential Equations, 38(2), 125-141. https://doi.org/10.4208/jpde.v38.n2.1