Abstract
In this short paper, as applications of the well-known generalized maximum principle of Omori–Yau, we obtain new extensions of a classical theorem due to Moser [8]. More precisely, under suitable constraints on the norm of the gradient of the smooth function u that defines an entire CMC graph Σ(u) constructed over a fiber Mn of a Riemannian product space of the type R×Mn, we show that u must actually be constant.
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