Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem
Bernard Kaka Bonzi, Stanislas Ouaro, F. D. Y. Zongo · International Journal of Differential Equations · 2013
We prove the existence and uniqueness of entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition for -data. We prove first, by using minimization techniques, the existence and uniqueness of weak solution when the data is bounded, and by approximation methods, we prove a result of existence and uniqueness of entropy solution.