Almgren’s frequency formula for an extension problem related to the anisotropic fractional Laplacian

• Raimundo Leitão ^[1]
  1. [1] Universidade Federal do Ceará

     Universidade Federal do Ceará

     Brasil

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 36, Nº 3, 2020, págs. 641-660
• Idioma: inglés
• DOI: 10.4171/rmi/1141
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• Resumen

  • We consider the anisotropic version of an extension problem studied by Caffarelli and Silvestre. We present the anisotropic fractional Laplacian and prove the Almgren’s frequency formula obtained by Caffarelli and Silvestre for the anisotropic case.