In this paper we study some fourth order elliptic equation involving the critical Sobolev exponent, related to the prescription of a fourth order conformal invariant on the standard sphere. We use a topological method to prove the existence of at least a solution when the function to be prescribed is close to a constant and a finite dimensional map associated to it has non-zero degree.

Prescribing a fourth order conformal invariant on the standard sphere, Part I: a perturbation result

Djadli, Zindine;Malchiodi, Andrea
;
2002

Abstract

In this paper we study some fourth order elliptic equation involving the critical Sobolev exponent, related to the prescription of a fourth order conformal invariant on the standard sphere. We use a topological method to prove the existence of at least a solution when the function to be prescribed is close to a constant and a finite dimensional map associated to it has non-zero degree.
2002
Settore MAT/05 - Analisi Matematica
Paneitz operator; positive solution; critical exponent; topological degree
   Variational methods and nonlinear di erential equations.
   M.U.R.S.T.
File in questo prodotto:
File Dimensione Formato  
DMO1.pdf

Accesso chiuso

Tipologia: Published version
Licenza: Non pubblico
Dimensione 505.34 kB
Formato Adobe PDF
505.34 kB Adobe PDF   Richiedi una copia
0101101.pdf

accesso aperto

Tipologia: Accepted version (post-print)
Licenza: Solo Lettura
Dimensione 263.6 kB
Formato Adobe PDF
263.6 kB Adobe PDF

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/11384/56040
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 61
  • ???jsp.display-item.citation.isi??? 55
social impact