Sharp lower bounds for the first eigenvalue of Steklov-type eigenvalue problems on a compact surface

Gunhee Cho, Keomkyo Seo

Let $\Omega$ be a compact surface with smooth boundary and the geodesic curvature $k_g\ge c>0$ along $\partial \Omega$ for some constant $c\in \mathbb{R}$. We prove that, if the Gaussi…