3 problems

Let $\Omega\subset\mathbb{R}^n$, with $n\geq 2$, be a convex domain, and let $C(\Omega)$ denote a positive constant for which … where…

Let $\Omega\subset\mathbb{R}^2$ be a bounded domain with $C^2$ boundary, and for $a>0$ let $\mathcal{R}_a$ be the $\overline\partial$-Robin Laplacian on $L^2(\Omega)$, with first e…

Let $Q^\Omega_\alpha$ be the Robin Laplacian on a domain $\Omega$ with Robin parameter $\alpha>0$, and compare domains $\Omega$ having the same volume. Barett's reverse Faber–Krahn…