Existence of a capillary surface with prescribed contact angle in $M\times\R$

Details Existence of a capillary surface with prescribed contact angle in $M\times\R$ Existence of a capillary surface with prescribed contact angle in $M\times\R$

2010-12-25

arxiv.org/abs/1012.5490v2

Mathematics

Analysis of PDEs

11 pages

Scientific paper

We study the prescribed mean curvature equation with a prescribed boundary
contact angle condition in $M\times\R$ where $M^n$ is a Riemannian submanifold
in $\R^{n+1}$. The main purpose is to establish a priori gradient estimates for
solutions, from which the long time existence of the solution are derived.

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