Evolution problems of Leray–Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces. (August 2020)

• Record Type: Journal Article
• Authors: Mazón, José M.; Solera, Marcos; Toledo, Julián
• Is Part Of: Nonlinear analysis. Volume 197(2020)
• Publication Date: 2020-08
• Subjects: 35K55 -- 47H06 -- 47J35; Random walks -- Nonlocal operators -- p-Laplacian -- Weighted graphs -- Neumann boundary conditions; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.111813
• Languages: English
• ISSNs: 0362-546X

Abstract

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 R N .