Resumen de Viscosity solutions of the p-Laplace equation with nonlinear source

Alkis S. Tersenov, Aris S. Tersenov

• In the present paper we consider the Dirichlet problem in a convex domain for the multidimensional p-Laplace equation with nonlinear source. We prove the existence of the unique continuous viscosity solution under quite general assumptions on the structure of the source.