Hölder continuity of parabolic quasi-minimizers (Q1785952)

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scientific article; zbMATH DE number 6946038
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Hölder continuity of parabolic quasi-minimizers
scientific article; zbMATH DE number 6946038

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    Hölder continuity of parabolic quasi-minimizers (English)
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    2 October 2018
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    The paper under review deals with the study of scalar valued local parabolic quasi-minimizers associated to a Carathéodory integrand that satisfies \(p\)-growth assumptions. The main result establishes the local Hölder continuity regularity in relationship with locally boundedness properties. The present paper is also concerned with the sub-quadratic and superquadratic cases under more general growth hypotheses.
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    Hölder continuity
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    parabolic quasi-minimizers
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