Abstract:
For a bounded and convex domain $\Omega\subset\mathbb R^3$ we show that the Maxwell constants are bounded from below and above by Friedrichs' and Poincaré's constants of $\Omega$.
Key words and phrases:Maxwell's equations, Maxwell constants, second Maxwell eigenvalues, electro statics, magneto statics, Poincaré's inequality, Friedrichs' inequality, Poincaré's constant, Friedrichs' constant.