ISSN:
1572-929X
Keywords:
Sobolev functions
;
trace
;
harmonic measure
;
Dirichlet finite.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We investigate the existence of finely continuous Sobolev functions u ∈ $$W^{1,p} (R^n ) $$ which have traces $$u|_{R^{n - 1} } $$ equal to the characteristic function of a bounded set E $$ subset R^{n - 1} $$ . As an application we examine the existence of Dirichlet finite p-harmonic measures on the unit ball of R n.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1017973118933
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