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| HAL : hal-00375575, version 1 |
| arXiv : 0904.2309 |
| Fiche détaillée |  Récupérer au format |
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| Nonlinear Analysis: Theory, Methods and Applications 73, 1 (2010) 31-47 |
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| A short proof of the $C^{0,\alpha}$--regularity of viscosity subsolutions for superquadratic viscous Hamilton-Jacobi equations and applications |
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| Guy Barles 1 |
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| (2010) |
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| Recently I.~Capuzzo Dolcetta, F.~Leoni and A.~Porretta obtain a very surprising regularity result for fully nonlinear, superquadratic, elliptic equations by showing that viscosity subsolutions of such equations are locally Hölder continuous, and even globally if the boundary of the domain is regular enough. The aim of this paper is to provide a simplified proof of their results, together with an interpretation of the regularity phenomena, some extensions and various applications. |
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| 1 : | Laboratoire de Mathématiques et Physique Théorique (LMPT) |
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CNRS : UMR6083 – Université François Rabelais - Tours |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Hölder regularity – fully nonlinear equations – ergodic problems – homogenization – viscosity solutions |
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| hal-00375575, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00375575 | |
| oai:hal.archives-ouvertes.fr:hal-00375575 | |
| Contributeur : Guy Barles | |
| Soumis le : Mercredi 15 Avril 2009, 14:53:11 | |
| Dernière modification le : Mercredi 21 Décembre 2011, 17:36:33 | |
