Stability for p-Laplace type equation in a borderline case. (April 2015)

• Record Type: Journal Article
• Authors: Farroni, Fernando; Greco, Luigi; Moscariello, Gioconda
• Is Part Of: Nonlinear analysis. Volume 116(2015)
• Page Start: 100
• Page End: 111
• Publication Date: 2015-04
• Subjects: 35J60; p-Laplacian operator -- Stability of distributional solutions; 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.2014.12.023
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We study the Dirichlet problem for a p -Laplacian type operator in the setting of the Orlicz–Zygmund space ℒ q log − α ℒ ( Ω, R N ), q > 1 and α > 0 . More precisely, our aim is to establish under which assumptions on α > 0 existence and uniqueness of the solution are assured and to prove continuity and stability of the associated nonlinear operator.