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Hölder Continuity of Solutions for Quasilinear Elliptic Equations with Gradient Terms and Measures

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Abstract

We consider quasi-linear second order elliptic differential equations with gradient terms and study Hölder continuity of solutions of the equation. Also, as an application we investigate removable sets for Hölder continuous solutions of a certain equation.

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Acknowledgments

The author is grateful to Professor Fumi-Yuki Maeda for giving many valuable comments.

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  1. Fukuyama University, Gakuencho, Fukuyama, 729-0292, Japan

    Takayori Ono

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  1. Takayori Ono
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Correspondence to Takayori Ono.

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Ono, T. Hölder Continuity of Solutions for Quasilinear Elliptic Equations with Gradient Terms and Measures. Potential Anal 50, 135–148 (2019). https://doi.org/10.1007/s11118-017-9676-0

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  • DOI: https://doi.org/10.1007/s11118-017-9676-0

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