Good Radon measure for anisotropic problems with variable exponent

Abstract

We study nonlinear anisotropic problems with bounded Radon diffuse measure and variable exponent. We prove the existence and uniqueness of entropy solution.

Keywords

• Generalized Lebesgue-Sobolev spaces
• anisotropic Sobolev space
• weak solution
• entropy solution
• Dirichlet boundary condition
• bounded Radon diffuse measure
• Marcinkiewicz space