On a general class of elliptic equations in divergence form
type: Item
instance of: scholarly article
title: On a general class of elliptic equations in divergence form
zbMATH Open document ID: 0790.35030
DOI: 10.1007/BF02572432
author: Giovanni Gregori
published in: Mathematische Zeitschrift
publication date: 1994-07-06T00:00:00Z
full work available at URL: https://eudml.org/doc/174594
review text: We consider a general class of non-uniformly elliptic equations in divergence form. A priori estimate for \(W^{1,1}\) solutions of such equations, combined with an excess decay lemma, allow us to prove a partial regularity theorem and a Liouville type theorem.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35D10
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 567434
zbMATH Keywords: non-uniformly elliptic equations in divergence form
zbMATH Keywords: excess decay lemma
zbMATH Keywords: partial regularity theorem
zbMATH Keywords: Liouville type theorem
MaRDI profile type: Publication
cites work: Convex functionals and partial regularity
cites work: On equations of minimal surface type
cites work: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
cites work: Q5187597
cites work: Q4115494
cites work: Harnack inequalities for nonuniformly elliptic divergence structure equations
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description: scientific article; zbMATH DE number 567434