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arXiv:1610.09509 [math.AP]AbstractReferencesReviewsResources

Remarks on Local Boundedness and Local Hölder Continuity of Local Weak Solutions to Anisotropic $p$-Laplacian Type Equations

Emmanuele DiBenedetto, Ugo Gianazza, Vincenzo Vespri

Published 2016-10-29Version 1

Locally bounded, local weak solutions to a special class of quasilinear, anisotropic, $p$-Laplacian type elliptic equations, are shown to be locally H\"older continuous. Homogeneous local upper bounds are established for local weak solutions to a general class of quasilinear anisotropic equations.

Categories: math.AP
Subjects: 35J70, 35J92, 35B65, 35B45
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