Existence of functions in weighted sobolev spaces
-
Published:2001-12
Issue:
Volume:164
Page:75-88
-
ISSN:0027-7630
-
Container-title:Nagoya Mathematical Journal
-
language:en
-
Short-container-title:Nagoya Mathematical Journal
Author:
Futamura Toshihide,Mizuta Yoshihiro
Abstract
The aim of this paper is to determine when there exists a quasicontinuous Sobolev function whose trace is the characteristic function of a bounded set where with As application we discuss the existence of harmonic measures for weighted p-Laplacians in the unit ball.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics
Reference13 articles.
1. Dirichlet finite harmonic measures on Riemann surfaces;Nakai;Complex Vari ables,1991
2. Integral representations of Beppo Levi functions of higher order;Mizuta;Hiroshima Math. J.,1974
3. Existence of Dirichlet finite harmonic measures in non-linear potential the ory;Nakai;Complex Variables,1993