A1 Refereed original research article in a scientific journal

A boundary uniqueness theorem for Sobolev functions



Authors: Miklyukov V., Vuorinen M.

Publication year: 1998

Journal:: Tohoku Mathematical Journal

Journal name in source: Tohoku Mathematical Journal

Volume: 50

Issue: 4

First page : 503

Last page: 511

Number of pages: 9

ISSN: 0040-8735

Web address : http://api.elsevier.com/content/abstract/scopus_id:0032216865


Abstract
We show that under a condition on the Dirichlet integral, Sobolev functions with zero boundary values at the points of a set of positive capacity are identically zero.



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