In this paper we introduce new symmetrization with respect to mixed volumes or anisotropic curvature integral, which generalizes the one with respect to quermassintegral due to Talenti and Tso. We show that such symmetrization diminishes the anisotropic Hessian integral. Moreover, we use it to show several other applications about anisotropic Hessian operators

Symmetrization with respect to mixed volumes

Della Pietra Francesco;Gavitone Nunzia;Xia Chao
2021

Abstract

In this paper we introduce new symmetrization with respect to mixed volumes or anisotropic curvature integral, which generalizes the one with respect to quermassintegral due to Talenti and Tso. We show that such symmetrization diminishes the anisotropic Hessian integral. Moreover, we use it to show several other applications about anisotropic Hessian operators
File in questo prodotto:
File Dimensione Formato  
23 2021 Advances in Mathematics.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Accesso privato/ristretto
Dimensione 486.08 kB
Formato Adobe PDF
486.08 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/740650
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact