Behaviour of solutions of the Dirichlet problem for quasilinear elliptical equations of the second order of a general kind near angular point

The Dirichlet problem for the uniformly elliptic equation aij (x,u,ux)uxixj + a (x,u,ux)=0. is considered in a bounded plane region. It is assumed that there is a corner point on the boundary of the region (the origin), and that the coefficients of the equation satisfy minimal smoothness conditions...

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Bibliographic Details
Date:1992
Main Authors: Borsuk , M. V., Борсук , М. В.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7828
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal