3 problems

Let $B$ denote the ball in $\mathbb{R}^3$, and let $lambda_1(Omega)$ be the first Maxwell eigenvalue of a domain $Omega$. Consider domains subject to either a fixed-volume constrai…

Let $B$ denote the ball in $\mathbb{R}^3$, and let the first three Maxwell eigenvalues of a domain $Omega$ be $lambda_1(Omega),lambda_2(Omega),lambda_3(Omega)$. For $j=1,2,3$, let…

Let $a9_{\mathrm{cbe}}=(0,\pi)^3$ be the cube and let $a9_{\mathrm{sla}}$ be the deformed region considered in the paper. Denote the positive Maxwell eigenvalues for…