Oblique derivative problem in a plane sector for strong quasi-linear elliptic second-order equation with perturbed p(x)-Laplacian. (June 2022)

• Record Type: Journal Article
• Authors: Borsuk, Mikhail
• Is Part Of: Nonlinear analysis. Volume 219(2022)
• Publication Date: 2022-06
• Subjects: 35J20 -- 35J25 -- 35J60 -- 35J75; Oblique problem -- Singular equation -- p-Laplacian -- Corner point; 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.2022.112802
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We study the behavior near the boundary corner point of bounded weak solutions to the oblique derivative problem for singular p ( x ) -Laplacian equation with strong nonlinearities singular absorption term in a bounded plane sector.