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

2016/10/31 by Emmanuele DiBenedetto, Ugo Gianazza, Vincenzo Vespri · 1 citation
Mathematics · #math.AP #msc:35B45 #msc:35B65 #msc:35J70 #msc:35J92

paper · pdf

published as Journal of Elliptic and Parabolic Equations, 2, (2016), 157-169 · With respect to the previous version, some typos/imperfection have been corrected, and a reference has been added

arxiv created 2017/07/07 · arxiv updated 2018/07/19

Abstract

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

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