Generalized boundary values of solutions of quasilinear elliptic equations with linear principal part

We establish conditions for the nonlinear part of a quasilinear elliptic equation of order $2m$ with linear principal part under which a solution regular inside a domain and belonging to a certain weighted $L_1$-space takes boundary values in the space of generalized functions.

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Bibliographic Details
Date:2007
Main Authors: Lopushanskaya, G. P., Лопушанська, Г. П.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2007
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3421
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal