We introduce the notion of generalized solutions for Hessian equations. Such a definition is given in the class of semi-convex functions, and it extends the definition of convex generalised solutions for the Monge-Ampere equation. We prove that semiconvex weak solutions are solutions in the sense of the present paper.
Generalized solutions of Hessian equations / A. Colesanti; P. Salani. - In: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. - ISSN 0004-9727. - STAMPA. - 56 n. 3:(1997), pp. 459-466.
Generalized solutions of Hessian equations
COLESANTI, ANDREA;SALANI, PAOLO
1997
Abstract
We introduce the notion of generalized solutions for Hessian equations. Such a definition is given in the class of semi-convex functions, and it extends the definition of convex generalised solutions for the Monge-Ampere equation. We prove that semiconvex weak solutions are solutions in the sense of the present paper.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
CoSa1.pdf
Accesso chiuso
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
805.02 kB
Formato
Adobe PDF
|
805.02 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.