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

Gunhee Cho, Keomkyo Seo

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