We obtain a maximum principle, and a priori upper estimates for solutions of a class of non-linear singular elliptic differential inequalities on Riemannian manifolds under the sole geometrical assumption of volume growth conditions. Various applications of the results obtained are presented.

Volume growth, "a priori" estimates, and geometric applications / S. Pigola, M. Rigoli, A.G. Setti. - In: GEOMETRIC AND FUNCTIONAL ANALYSIS. - ISSN 1016-443X. - 13:6(2003), pp. 1302-1328.

Volume growth, "a priori" estimates, and geometric applications

M. Rigoli
Secondo
;
2003

Abstract

We obtain a maximum principle, and a priori upper estimates for solutions of a class of non-linear singular elliptic differential inequalities on Riemannian manifolds under the sole geometrical assumption of volume growth conditions. Various applications of the results obtained are presented.
Settore MAT/03 - Geometria
2003
Article (author)
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

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/2434/17342
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 26
  • ???jsp.display-item.citation.isi??? 26
social impact