Gradient estimates for problems with Orlicz growth. (May 2020)

• Record Type: Journal Article
• Authors: Chlebicka, Iwona
• Is Part Of: Nonlinear analysis. Volume 194(2020)
• Publication Date: 2020-05
• Subjects: 35J60 -- 35B65 -- 46E30; Measure data problems -- Orlicz spaces -- Lorentz spaces -- Marcinkiewicz spaces; 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.2018.10.008
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We study a general nonlinear elliptic equation in the Orlicz setting with data not belonging to the dual of the energy space. We provide several Lorentz-type and Morrey-type estimates for the gradients of solutions under various conditions on the data.