A boundary uniqueness theorem for Sobolev functions

: Miklyukov V., Vuorinen M.

: 1998

Tohoku Mathematical Journal

: 50

: 4

: 503

: 511

: 9

: 0040-8735

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

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.