On some properties of solutions of quasilinear degenerate equations

For the quasilinear equations div A(x, u, ∇u) = 0 with degeneracy ω(x) from the Muckenhaupt Ap -class, we prove the Harnack inequality, an estimate of the Holder norm, and a sufficient test for the regularity of boundary points of the Wiener type.

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Bibliographic Details
Date:2008
Main Authors: Amanov, R. A., Mamedov, F. I., Аманов, Р. А., Мамедов, Ф. И.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2008
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3209
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal