We consider different fractional Neumann Laplacians of order $sin(0,1)$ on domains $OmegasubsetR^n$, namely, the Restricted Neumann Laplacian, the Semirestricted Neumann Laplacian and the Spectral Neumann Laplacian. In particular, we are interested in the attainability of Sobolev constants for these operators when Ω is a half-space.

Sobolev inequalities for fractional Neumann Laplacians on half spaces

Musina, Roberta;
2021-01-01

Abstract

We consider different fractional Neumann Laplacians of order $sin(0,1)$ on domains $OmegasubsetR^n$, namely, the Restricted Neumann Laplacian, the Semirestricted Neumann Laplacian and the Spectral Neumann Laplacian. In particular, we are interested in the attainability of Sobolev constants for these operators when Ω is a half-space.
File in questo prodotto:
File Dimensione Formato  
2018_AdvCalcVar.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Non pubblico
Dimensione 805.76 kB
Formato Adobe PDF
805.76 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: https://hdl.handle.net/11390/1144776
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 3
social impact