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

Jingjing Liu, Chunshan Zhao

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)124-140
Number of pages17
JournalJournal of Partial Differential Equations
Volume38
Issue number2
DOIs
StatePublished - Jun 1 2025

Scopus Subject Areas

  • Analysis
  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Keywords

  • Weak solutions
  • p(x)-Laplacian
  • weighted variable exponent Sobolev spaces

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