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Type: Artigo de periódico
Title: Gradient estimates for viscosity solutions of singular fully nonlinear elliptic equations
Author: Montenegro, M
Teixeira, EV
Abstract: We establish Lipschitz regularity for solutions to a family of non-isotropic fully nonlinear partial differential equations of elliptic type. In general such a regularity is optimal. No sign constraint is imposed on the solution, thus limiting free boundaries may have two-phases. Our estimates are then employed in combination with fine regularizing techniques to prove existence of viscosity solutions to singular nonlinear PDEs. (C) 2010 Elsevier Inc. All rights reserved.
Subject: Fully nonlinear elliptic equations
Lipschitz regularity
Singular equations
Solutions with free boundaries
Country: EUA
Editor: Academic Press Inc Elsevier Science
Citation: Journal Of Functional Analysis. Academic Press Inc Elsevier Science, v. 259, n. 2, n. 428, n. 452, 2010.
Rights: fechado
Identifier DOI: 10.1016/j.jfa.2010.03.021
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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