Existence and multiplicity of solutions for p ( x ) $p(x)$ -Laplacian problem with Steklov boundary condition

Abstract

Abstract We study the existence and multiplicity of weak solutions for an elliptic problem involving p ( x ) $p(x)$ -Laplacian operator under Steklov boundary condition. The approach is based on variational methods.

Keywords

• Variational method
• Steklov boundary condition
• p ( x ) $p(x)$ -Laplacian operator