Pointwise estimate of a solution to quasilinear elliptic problem in the domain with thin cavity

We derive a pointwise estimate of the solution to Dirichlet’s problem for a quasilinear second–order elliptic equation in a domain whose bounded compliment is contained in a small neighborhood of a set $\{x\in R^n: |x|\leq ½,x_1=\dots=x_s=0\}$.

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Bibliographic Details
Date:1992
Main Authors: Skrypnik, I. V., Naumova, M. A., Скрыпник, И. В., Наумова, М. А.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8241
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal