An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains

An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains

A weighted norm inequality involving A 1 weights is obtained at the natural exponent for gradients of solutions to quasilinear elliptic equations in Reifenberg flat domains. Certain gradient estimates in Lorentz–Morrey spaces below the natural exponent are also obtained as a consequence of our analy...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Manuscripta mathematica 2016-05, Vol.150 (1-2), p.111-135
Hauptverfasser: Adimurthi, Karthik, Phuc, Nguyen Cong
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A weighted norm inequality involving A 1 weights is obtained at the natural exponent for gradients of solutions to quasilinear elliptic equations in Reifenberg flat domains. Certain gradient estimates in Lorentz–Morrey spaces below the natural exponent are also obtained as a consequence of our analysis.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-015-0804-0