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Comptes Rendus Mathématique
Volume 353, n° 8
pages 717-721 (août 2015)
Doi : 10.1016/j.crma.2015.06.003
Received : 10 Mars 2015 ;  accepted : 11 June 2015
Global continuity of solutions to quasilinear equations with Morrey data
La continuité globale de solutions d'équations quasi-linéaires avec des données de Morrey
 

Sun-Sig Byun a , Dian K. Palagachev b , Pilsoo Shin a
a Seoul National University, Department of Mathematics, Seoul 151-747, Republic of Korea 
b Politecnico di Bari, DMMM, Via Edoardo Orabona 4, 70125 Bari, Italy 

Abstract

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.

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Résumé

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.

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1  The omnibus term “known quantities ” means the data in hypotheses ((2), (3), (4), (5)) that include n , m ,  , γ , Λ, p , λ , q , μ ,  ,  , diamΩ,   and  .


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