Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side

A. Lyaghfouri

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arXiv · 2010.13131

Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side

A. Lyaghfouri

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Abstract

We show that bounded solutions of the quasilinear elliptic equation $Δ_{p(x)} u=g+div(\textbf{F})$ are locally Hölder continuous provided that the functions $g$ and $\textbf{F}$ are in suitable Lebesgue spaces.

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BibTeX RIS

A. Lyaghfouri. 2020-10-25. Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side. https://arxiv.org/abs/2010.13131

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