Polyharmonic capacity and Wiener test of higher order

In the present paper we establish the Wiener test for boundary regularity of the solutions to the polyharmonic operator. We introduce a new notion of polyharmonic capacity and demonstrate necessary and sufficient conditions on the capacity of the domain responsible for the regularity of a polyharmon...

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Bibliographic Details

Published in:	Inventiones mathematicae Vol. 211; no. 2; pp. 779 - 853
Main Authors:	Mayboroda, Svitlana, Maz’ya, Vladimir
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2018
Subjects:	Mathematics Mathematics and Statistics
ISSN:	0020-9910, 1432-1297, 1432-1297
Online Access:	Get full text
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