The inhomogeneous boundary Harnack principle for fully nonlinear and \(p\)-Laplace equations (Q2693545)

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scientific article; zbMATH DE number 7665928
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The inhomogeneous boundary Harnack principle for fully nonlinear and \(p\)-Laplace equations
scientific article; zbMATH DE number 7665928

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    The inhomogeneous boundary Harnack principle for fully nonlinear and \(p\)-Laplace equations (English)
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    21 March 2023
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    Summary: We prove a boundary Harnack principle in Lipschitz domains with small constant for fully nonlinear and \(p\)-Laplace-type equations with a right-hand side, as well as for the Laplace equation on nontangentially accessible domains under extra conditions. The approach is completely new and gives a systematic approach for proving similar results for a variety of equations and geometries.
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    nonlinear equations
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    \(p\)-Laplace equations
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