Removable singularities of solutions of degenerate quasilinear equations
type: Item
instance of: scholarly article
title: Removable singularities of solutions of degenerate quasilinear equations
zbMATH Open document ID: 0592.35077
DOI: 10.1007/BF01763174
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1985-01-01T00:00:00Z
review text: The aim of this paper is to provide removable singularity results for weak solutions of degenerate quasilinear parabolic equations and their elliptic equivalents. For the prove of the results the author first characterizes the sets of weighted capacity zero and weighted null sets. Then he connects the capacity (or the nullity indices) of the singular set to the Lebesgue classes of the weight \(\mu\), of 1/\(\mu\) and of the \(x_ i\)-derivatives of the weak solutions.
reviewed by: J.Schoenenberger-Deuel
Mathematics Subject Classification ID: 35K70
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 3951130
zbMATH Keywords: removable singularity
zbMATH Keywords: weak solutions
zbMATH Keywords: degenerate quasilinear parabolic equations
zbMATH Keywords: sets of weighted capacity
zbMATH Keywords: nullity indices
zbMATH Keywords: Lebesgue classes
author: Luís Saraiva
MaRDI profile type: Publication
cites work: Q4073917
cites work: Removable singularities for linear parabolic equations
cites work: Removable Singularities of Solutions of Quasilinear Parabolic Equations
cites work: Q5671055
cites work: Removable Sets for Quasilinear Parabolic Equations
cites work: Weighted Norm Inequalities for Fractional Integrals
cites work: Removable Singularities and Quasilinear Parabolic Equations
cites work: Local behavior of solutions of quasi-linear equations
cites work: Isolated singularities of solutions of quasi-linear equations
cites work: Removable singularities of solutions of elliptic equations. II
cites work: Q5547919
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Q3222599
description: scientific article; zbMATH DE number 3951130