Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge

We obtain an exact estimate for the second derivatives of solutions (in the weight Sobolev norm) of the Dirichlet problem for quasilinear second-order elliptic equations of nondivergence type in a neighborhood of an edge of a domain.

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Bibliographic Details
Date:2001
Main Authors: Plesha, M. I., Плеша, М. І.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2001
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4307
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal