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Existence of functions in weighted sobolev spaces
Published online by Cambridge University Press: 22 January 2016
Abstract
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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.
Keywords
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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2001
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