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Continuity in two dimensions for a very degenerate elliptic equation

Santambrogio, Filippo; Vespri, Vincenzo (2010), Continuity in two dimensions for a very degenerate elliptic equation, Nonlinear Analysis: Theory, Methods & Applications, 73, 12, p. 3832-3841. http://dx.doi.org/10.1016/j.na.2010.08.008

Type
Article accepté pour publication ou publié
Lien vers un document non conservé dans cette base
http://arxiv.org/abs/0909.2848v1
Date
2010
Nom de la revue
Nonlinear Analysis: Theory, Methods & Applications
Volume
73
Numéro
12
Éditeur
Elsevier
Pages
3832-3841
Identifiant publication
Métadonnées
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Auteur(s)
Santambrogio, Filippo
Vespri, Vincenzo
Résumé (EN)
An elliptic equation ∇⋅(F(∇u))=f whose ellipticity strongly degenerates for small values of ∇u (say, F=0 on B(0,1)) is considered. The aim is to prove regularity for F(∇u). The paper proves a continuity result in dimension 2 and presents some applications.
Mots-clés
Nonlinear very degenerate elliptic equation; Bidimensional case; Local continuity of the gradient; Traffic congestion