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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

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Ukrainian Mathematical Journal Aims and scope

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

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Authors and Affiliations

  1. Baku State University, Baku, Azerbaijan

    S. T. Huseynov

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  1. S. T. Huseynov
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 12, pp. 1596–1604, December, 2017.

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Huseynov, S.T. 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. Ukr Math J 69, 1855–1864 (2018). https://doi.org/10.1007/s11253-018-1475-2

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  • DOI: https://doi.org/10.1007/s11253-018-1475-2

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