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Comptes Rendus. Mécanique
Article . 2021 . Peer-reviewed
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Comptes Rendus. Mécanique
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Comptes Rendus. Mécanique
Article . 2021
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https://dx.doi.org/10.5802/crm...
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The Meyer’s estimate of solutions to Zaremba problem for second-order elliptic equations in divergent form

descriptionPublicationkeyboard_double_arrow_right Article 07 Jun 2021 English Publisher:MathDoc/Centre MersenneJournal:Comptes Rendus. Mécanique, volume 349, pages 299-304 (issn: 1631-0721, eissn: 1873-7234, Copyright policy )
Authors: Yurij A. Alkhutov; Gregory A. Chechkin;

doi: 10.5802/crmeca.87

The Meyer’s estimate of solutions to Zaremba problem for second-order elliptic equations in divergent form

Abstract

In this paper we obtain an estimate for the increased integrability of the gradient of the solution to the Zaremba problem for divergent elliptic operator in a bounded domain with nontrivial capacity of the Dirichlet boundary conditions.

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Keywords

Capacity, TA401-492, Embedding theorems, Rapidly alternating type of boundary conditions, Materials of engineering and construction. Mechanics of materials, Meyers estimates, Mixed problem

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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!
18
Top 10%
Top 10%
Top 10%
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