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.
Pigola, S., Rigoli, M., Setti, A. (2002). Some remarks on the prescribed mean curvature equation on complete manifolds. PACIFIC JOURNAL OF MATHEMATICS, 206(1), 195-217 [10.2140/pjm.2002.206.195].
Some remarks on the prescribed mean curvature equation on complete manifolds
Pigola, S;
2002
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.
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