Vol. 206, No. 1, 2002

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Some remarks on the prescribed mean curvature equation on complete manifolds

Stefano Pigola, Marco Rigoli and Alberto G. Setti

Vol. 206 (2002), No. 1, 195–217
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.

Milestones
Received: 28 December 2000
Revised: 14 May 2001
Published: 1 September 2002
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