Lipschitz regularity for orthotropic functionals with nonstandard growth conditions

• Pierre Bousquet ^[1] ; Lorenzo Brasco ^[2]
  1. [1] Université de Toulouse

     Université de Toulouse

     Arrondissement de Toulouse, Francia

     
  2. [2] University of Ferrara

     University of Ferrara

     Ferrara, Italia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 36, Nº 7, 2020, págs. 1989-2032
• Idioma: inglés
• DOI: 10.4171/rmi/1189
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• Resumen

  • We consider a model convex functional with orthotropic structure and super-quadratic nonstandard growth conditions. We prove that bounded local minimizers are locally Lipschitz, with no restrictions on the ratio between the highest and the lowest growth rates.