Author:
Casteras Jean-Baptiste,Heinonen Esko,Holopainen Ilkka
Abstract
AbstractWe prove that every entire solution of the minimal graph equation that is bounded from below and has at most linear growth must be constant on a complete Riemannian manifold M with only one end if M has asymptotically non-negative sectional curvature. On the other hand, we prove the existence of bounded non-constant minimal graphic and p-harmonic functions on rotationally symmetric Cartan-Hadamard manifolds under optimal assumptions on the sectional curvatures.
Publisher
Cambridge University Press (CUP)
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