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Hölder continuity and the Harnack inequality for the solutions of an elliptic equation containing the $p$ -Laplacian and uniformly degenerating in a part of the domain

We consider quasilinear equations of the $p$-Laplacian type uniformly degenerating in a part of the domain. An analog of the Harnack inequality is proved for nonnegative solutions and the Holder continuity of the solutions is established by using this inequality.

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Datum:	2017
Hauptverfasser:	Huseynov, S. T., Гусейнов, С. Т.
Format:	Artikel
Sprache:	Ukrainisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2017
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/1806
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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