Up-to boundary regularity for a singular perturbation problem of p-Laplacian type equations in non-divergence form. (November 2019)

• Record Type: Journal Article
• Authors: Ricarte, Gleydson C.; Araújo, Janielly G.
• Is Part Of: Nonlinear analysis. Volume 188(2019)
• Page Start: 339
• Page End: 361
• Publication Date: 2019-11
• Subjects: 35K55 -- 35D40 -- 35B65 -- 35R35; Normalized p-Laplacian -- Singularly perturbed problems -- Lipschitz regularity -- Porosity of the free boundary; 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.2019.05.022
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We prove interior and up to boundary Lipschitz regularity of the viscosity solutions to a singular perturbation problem for a reaction–diffusion equation related to the normalized p -Laplacian equation.