Comptes Rendus
no. 8
Partial differential equations/Calculus of variations
Global continuity of solutions to quasilinear equations with Morrey data
[La continuité globale de solutions d'équations quasi-linéaires avec des données de Morrey]

Présenté par : Haïm Brézis

Sun-Sig Byun1 ; Dian K. Palagachev2 ; Pilsoo Shin1
1 Seoul National University, Department of Mathematics, Seoul 151-747, Republic of Korea
2 Politecnico di Bari, DMMM, Via Edoardo Orabona 4, 70125 Bari, Italy
Comptes Rendus. Mathématique, Volume 353 (2015) no. 8, pp. 717-721.

Nous annonçons quelques résultats récents sur la régularité höldérienne globale pour les solutions faibles d'équations coercitives quasi linéaires avec des données appartenant à des espaces de Morrey.

We announce some recent results on boundedness and Hölder continuity up to the boundary for the weak solutions to coercive quasilinear equations with data belonging to Morrey spaces.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.06.003
Sun-Sig Byun 1 ; Dian K. Palagachev 2 ; Pilsoo Shin 1

1 Seoul National University, Department of Mathematics, Seoul 151-747, Republic of Korea
2 Politecnico di Bari, DMMM, Via Edoardo Orabona 4, 70125 Bari, Italy 
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Sun-Sig Byun; Dian K. Palagachev; Pilsoo Shin. Global continuity of solutions to quasilinear equations with Morrey data. Comptes Rendus. Mathématique, Volume 353 (2015) no. 8, pp. 717-721. doi : 10.1016/j.crma.2015.06.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.06.003/

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