Regularity result for quasilinear elliptic systems with super quadratic natural growth condition (Q370119)

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scientific article; zbMATH DE number 6209394
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Regularity result for quasilinear elliptic systems with super quadratic natural growth condition
scientific article; zbMATH DE number 6209394

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    Regularity result for quasilinear elliptic systems with super quadratic natural growth condition (English)
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    19 September 2013
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    Summary: We consider boundary regularity for weak solutions of second-order quasilinear elliptic systems under natural growth condition with super quadratic growth and obtain a general criterion for a weak solution to be regular in the neighborhood of a given boundary point. Combined with existing results on interior partial regularity, this result yields an upper bound on the Hausdorff dimension of the singular set at the boundary.
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    boundary regularity for weak solutions
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    second-order quasilinear elliptic systems
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