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arXiv · 1610.09509

Remarks on Local Boundedness and Local H\"older Continuity of Local Weak Solutions to Anisotropic $p$-Laplacian Type Equations

Emmanuele DiBenedetto·Ugo Gianazza·Vincenzo Vespri
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Abstract

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.

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Emmanuele DiBenedetto, Ugo Gianazza, Vincenzo Vespri. 2016-10-29. Remarks on Local Boundedness and Local H\"older Continuity of Local Weak Solutions to Anisotropic $p$-Laplacian Type Equations. https://arxiv.org/abs/1610.09509

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