On two functionals connected to the Laplacian in a class of doubly connected domains in space-forms

M H C Anisa, A R Aithal

Let $B_1$ be a ball of radius $r_1$ in $S^n(\Hy^n)$, and let $B_0$ be a smaller ball of radius $r_0$ such that $\overline{B_0}\subset B_1$. For $S^n$ we consider $r_1<\pi$. Let $u$ be a…