Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-data

Abstract

We prove in this paper some existence and unicity results of entropy and renormalized solutions for some nonlinear elliptic equations with general anisotropic diffusivities and variable exponents. The data are assumed to be merely integrable.

Keywords

• nonlinear elliptic equations
• anisotropic diffusion
• variable exponents
• entropy solutions
• renormalized solution
• l1-data
• 35j60
• 46e35
• 35d10