Evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces

Abstract

In this paper we study evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in the framework of metric random walk spaces. This covers cases with the $p$-Laplacian operator in weighted discrete graphs and nonlocal operators with nonsingular kernel in $\mathbb{R}^N$.