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

Published 25 Oct 2020 in math.AP | (2010.13131v1)

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

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Authors (1)

  1. A. Lyaghfouri 

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