On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients

On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients

We establish, in dimension two, a regularity result for nonnegative solutions to an adjoint elliptic equation, generalizing a previous result of Escauriaza (1994). We consider elliptic equations with coefficients aij(x1,x2) which are measurable with respect to one variable and VMO with respect to th...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of Function Spaces and Applications 2012-01, Vol.2012 (2012), p.1-16
1. Verfasser: Alberico, Teresa
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We establish, in dimension two, a regularity result for nonnegative solutions to an adjoint elliptic equation, generalizing a previous result of Escauriaza (1994). We consider elliptic equations with coefficients aij(x1,x2) which are measurable with respect to one variable and VMO with respect to the other.
ISSN:0972-6802
2090-8997
1758-4965
0972-6802
DOI:10.1155/2012/208741