Vol. 206, No. 1, 2002
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Some remarks on the prescribed mean curvature equation on complete manifolds

Stefano Pigola & Marco Rigoli & Alberto G. Setti

Abstract

We obtain conditions on the behavior at infinity of the mean curvature of a graph under volume growth assumptions. An Lq comparison result is also given.
Authors
Stefano Pigola
Dipartimento di Matematica
Università di Milano
via Saldini 50
I-20133 Milano
Italy
Marco Rigoli
Dipartimento di Scienze C.F.M.
Università dell'Insubria - Como
via Valleggio 11, I-22100 Como
Italy
Alberto G. Setti
Dipartimento di Scienze C.F.M.
Università dell'Insubria - Como
via Valleggio 11
I-22100 Como
Italy