Entropy solutions for nonlinear elliptic anisotropic problem with Robin boundary condition

Abstract

We study a Robin boundary value problem of nonlinear elliptic anisotropic type. We prove the existence and uniqueness of entropy solutions for $L^{1}$-data, via the existence and uniqueness of weak solution.

Keywords

• Anisotropic equations
• Variable exponent
• Weak solutions
• Entropy solutions
• Robin boundary conditions