Some existence results for a class of Dirichlet problems with variable exponents

Abstract

Abstract In this paper, we study the existence and multiplicity of weak solutions of the p ( x ) $p(x)$ -Laplacian problems that are subject to Dirichlet boundary conditions, employing variational techniques as our primary analytical framework.

Keywords

• Variational methods
• Weak solution
• Critical point theory
• Variable exponent
• Dirichlet boundary condition