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

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

Year:    2025

Author:    Jingjing Liu, Chunshan Zhao

Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 2 : pp. 124–140

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 2 : pp. 124–140

Published online:    2025-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

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

Author Details

Jingjing Liu

Chunshan Zhao