About a Proposition on Escobar's paper "The Geometry of the First Non-zero Stekloff Eigenvalue"

Leoncio Rodriguez Quiñones

Let $(M^2,g_0)$ be a compact manifold with boundary, and let $g$ and $g_0$ be conformally related by $g=e^{2f}{g}_0$. We show that the inequality $$ν_{1}(g)\geq\Big(\max_{x\i…