We study the problem of prescribing the Gaussian curvature on surfaces with conical singularities in supercritical regimes. Using a Morse-theoretical approach, we prove a general existence theorem on surfaces with positive genus, with a generic multiplicity result.

Supercritical conformal metrics on surfaces with conical singularities

De Marchis, Francesca;Malchiodi, Andrea
2011

Abstract

We study the problem of prescribing the Gaussian curvature on surfaces with conical singularities in supercritical regimes. Using a Morse-theoretical approach, we prove a general existence theorem on surfaces with positive genus, with a generic multiplicity result.
2011
Settore MAT/05 - Analisi Matematica
File in questo prodotto:
File Dimensione Formato  
IMRN.pdf

Accesso chiuso

Tipologia: Published version
Licenza: Non pubblico
Dimensione 209.94 kB
Formato Adobe PDF
209.94 kB Adobe PDF   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/11384/56129
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 67
  • ???jsp.display-item.citation.isi??? 66
social impact