Hoelder continuity of solutions to an anisotropic elliptic equation

Hoelder continuity of solutions to an anisotropic elliptic equation

For a class of anisotropic quasi-linear elliptic equations with measurable coefficients, following DiBenedetto's intrinsic rescaling method, we prove the Hoelder continuity of solutions under the condition for which only local boundedness was known.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Nonlinear analysis 2009-09, Vol.71 (5-6), p.1699-1708
Hauptverfasser: Liskevich, Vitali, Skrypnik, Igor I
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:For a class of anisotropic quasi-linear elliptic equations with measurable coefficients, following DiBenedetto's intrinsic rescaling method, we prove the Hoelder continuity of solutions under the condition for which only local boundedness was known.
ISSN:0362-546X
DOI:10.1016/j.na.2009.01.007