Regularity of optimal transport maps and partial differential inclusions (Q413810)

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scientific article; zbMATH DE number 6031539
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Regularity of optimal transport maps and partial differential inclusions
scientific article; zbMATH DE number 6031539

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    Regularity of optimal transport maps and partial differential inclusions (English)
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    8 May 2012
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    Summary: We address the issue of Sobolev regularity of solutions of Monge-Ampère equations in a borderline case and show how this question is related to a rigidity problem for partial differential inclusions.
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    Monge-Ampère equations
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    Sobolev regularity
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