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On systems of second-order variational inequalities

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Abstract

Letu be a solution of an elliptic (linear or nonlinear) variational inequality with obstacle. Under natural smoothness conditions put upon the data, it is shown that the second derivatives ofu lie in a certain Morrey space and hence, in the case of two independent variables, the solutionu has a Hölder continuous gradient.

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Authors and Affiliations

  1. Im Birkeneck 1, 6079, Buchschlag, West Germany

    Jens Frehse

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  1. Jens Frehse
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Additional information

During the preparation of a portion of the paper, the author was a guest of the Scuola Normale Superiore in Pisa, supported by the German Research Association (Deutsche Forschungsgemeinschaft).

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Frehse, J. On systems of second-order variational inequalities. Israel J. Math. 15, 421–429 (1973). https://doi.org/10.1007/BF02757081

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  • DOI: https://doi.org/10.1007/BF02757081

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