A class of fully nonlinear elliptic equations with singularity at the boundary
type: Item
instance of: scholarly article
title: A class of fully nonlinear elliptic equations with singularity at the boundary
zbMATH Open document ID: 0958.35049
DOI: 10.1007/BF02921713
author: Lihe Wang
author: Fanghua Lin
published in: The Journal of Geometric Analysis
publication date: 2000-06-22T00:00:00Z
review text: The Dirichlet problem for a general nonlinear elliptic equation of the second order with singularity at the boundary is studied. Under the uniform ellipticity assumption and natural structural conditions \(C^{1,\alpha }\) and \(C^{2,\alpha }\) estimates for a viscosity solution are established. The problem may be associated with the study of mean curvature surfaces.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35R05
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 1463795
zbMATH Keywords: viscosity solution
zbMATH Keywords: singularity at the boundary
zbMATH Keywords: Hölder regularity
reviewed by: Ramzet M. Dzhafarov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1463795