Improved regularity of solutions to elliptic equations involving Jacobians and applications
type: Item
instance of: scholarly article
title: Improved regularity of solutions to elliptic equations involving Jacobians and applications
zbMATH Open document ID: 0831.35025
author: Fabrice Béthuel
author: Jean-Michel Ghidaglia
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1996-02-15T00:00:00Z
review text: Various extensions of the so-called Wente's estimate are proposed here. Our generalizations include the variable coefficients case, Neumann boundary conditions and modified Jacobians. Our main result shows that the constants in the estimates can be chosen independently of the domain on which the problem is posed. Several applications are given. These include regularity results for the solution to the equation of surfaces of prescribed mean curvature, and uniqueness for harmonic maps from surfaces into spheres.
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 42B30
zbMATH DE Number: 811429
zbMATH Keywords: generalized Hardy space
zbMATH Keywords: Wente's estimate
zbMATH Keywords: surfaces of prescribed mean curvature
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 811429