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arXiv:2010.13131 [math.AP]AbstractReferencesReviewsResources

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

A. Lyaghfouri

Published 2020-10-25Version 1

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.

Categories: math.AP
Subjects: 35B65, 35J92
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