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arxiv: 1610.09509 · v3 · pith:K7CQVEVJnew · submitted 2016-10-29 · 🧮 math.AP

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

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keywords localanisotropicequationssolutionsweakclasslaplacianlocally
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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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