Some elliptic equations with W01, 1 solutions. (April 2017)

• Record Type: Journal Article
• Authors: Boccardo, Lucio; Cirmi, G. Rita
• Is Part Of: Nonlinear analysis. Volume 153(2017)
• Page Start: 130
• Page End: 141
• Publication Date: 2017-04
• Subjects: Nonlinear Dirichlet problem -- W01, 1-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.2016.09.007
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider some nonlinear Dirichlet problems and we study how lower order terms can give a regularizing effect on the solutions: the existence of distributional solutions with minimal properties (solutions in W 0 1, 1, functional space not so usual for finding solutions of elliptic problems) or finite energy solutions, even with nonregular data.