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Quasilinear problems with singularities

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Abstract

We solve here some quasilinear problems with a sum of Dirac masses at the right-hand side. For that purpose, we prove a regularity theorem for nonlinear systems of the Hodge-de Rham type, and we generalize de Giorgi's notion of perimeter to subsets of compacts manifolds.

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  1. Département de Mathématiques et d'Informatique, Ecole Normale Supérieure, 45 rue d'Ulm, 75230, Paris Cedex 05, France

    Satyanad Kichenassamy

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  1. Satyanad Kichenassamy
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Kichenassamy, S. Quasilinear problems with singularities. Manuscripta Math 57, 281–313 (1987). https://doi.org/10.1007/BF01437485

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  • DOI: https://doi.org/10.1007/BF01437485

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