Table of Contents First Variation Formula Generalized Bernstein Theorem We set the following notations. Suppose $(M^{n+1},\partial M)$ is the ambient manifold we’re interested in. We say $\Sigma$ is a capillary minimal surface with contact ange $\theta$ if $\Sigma$ is a minimal surface with boundary $\partial \Sigma$ and it has contact angle $\theta$ with $\partial M$ along $\partial \Sigma$.