A note on regularity for a class of quasilinear elliptic equations (Q1589805)

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scientific article; zbMATH DE number 1542568
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A note on regularity for a class of quasilinear elliptic equations
scientific article; zbMATH DE number 1542568

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    A note on regularity for a class of quasilinear elliptic equations (English)
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    10 October 2001
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    The regularity of weak solutions of divergence quasilinear elliptic equations is investigated. A Hölder condition at higher coefficients is absent. The regularity is considered in dependence on structure conditions. It is shown in a special case that the bounded solution belongs to \(C^1_{\text{loc}}(\Omega) \) if higher coefficients are Dini continuous.
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    regularity of weak solutions
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    structure condition
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