We consider nonlinear elliptic systems div (A(x,u)\cdot Du) = f(x,u,Du) with a right-hand side of quadratic growth |f(x,u,p)|<= a|p|^2 + b Under suitable assumptions we show that every solution of such system is regular, except possibly on a closed set, whose codimension is greater that two.

Nonlinear elliptic systems with quadratic growth

GIAQUINTA, Mariano;
1978

Abstract

We consider nonlinear elliptic systems div (A(x,u)\cdot Du) = f(x,u,Du) with a right-hand side of quadratic growth |f(x,u,p)|<= a|p|^2 + b Under suitable assumptions we show that every solution of such system is regular, except possibly on a closed set, whose codimension is greater that two.
File in questo prodotto:
File Dimensione Formato  
NONLINEAR_ELLIPTIC_SYSTEMS.pdf

Accesso chiuso

Tipologia: Altro materiale allegato
Licenza: Non pubblico
Dimensione 634.31 kB
Formato Adobe PDF
634.31 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/11384/5982
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 73
  • ???jsp.display-item.citation.isi??? ND
social impact