A global regularity result for some degenerate elliptic systems. (September 2015)

• Record Type: Journal Article
• Authors: Fattorusso, Luisa; Molica Bisci, Giovanni; Tarsia, Antonio
• Is Part Of: Nonlinear analysis. Volume 125(2015)
• Page Start: 54
• Page End: 66
• Publication Date: 2015-09
• Subjects: primary 35J57 35B45 -- secondary 35B65; Caccioppoli's inequality -- Schauder's estimates -- Lq regularity; 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.2015.04.014
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We establish a Caccioppoli-type inequality for a second-order degenerate elliptic systems of p -Laplacian type. As a direct consequence, exploiting classical Campanato's approach and the hole-filling technique due to Widman, we are able to prove a global regularity result on Morrey's and L q spaces, with q > p .