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 ${\mathbb{R}}^N$.

References in corpus (3)

• The Heat Flow on Metric Random Walk Spaces
• The Total Variation Flow in Metric Random Walk Spaces
• Well-posedness of an evolution problem with nonlocal diffusion

Cited by in corpus (2)

• Variable-order fractional 1-Laplacian diffusion equations for multiplicative noise removal
• Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions