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Zeitschrift für Analysis und ihre Anwendungen
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Zeitschrift für Analysis und ihre Anwendungen
Article . 1988 . Peer-reviewed
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https://dx.doi.org/10.4171/zaa...
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A criterion for the regularity of the infinitely distant point for the Zaremba problem in a half-cylinder (in Russian)

descriptionPublicationkeyboard_double_arrow_right Article 30 Apr 1988Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Zeitschrift für Analysis und ihre Anwendungen, volume 7, pages 113-125 (issn: 0232-2064, eissn: 1661-4534, Copyright policy )
Authors: T.M. Kerimov; Vladimir G. Maz'ya; A.A. Novruzov;

doi: 10.4171/zaa/288

A criterion for the regularity of the infinitely distant point for the Zaremba problem in a half-cylinder (in Russian)

Abstract

The asymptotic behaviour at infinity of solutions to the Zaremba problem for the Laplace operator in a half-cylinder is studied. Pointwise estimates for solutions, the Green function and the harmonic measure are obtained in terms of the Wiener capacity. The main result is a necessary and sufficient condition for regularity of a point at infinity.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Top 10%
Average
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