The Faber–Krahn conjecture for the first positive quantum-dot Dirac eigenvalue
Let Ω⊂R2\Omega\subset\mathbb{R}^2Ω⊂R2 be a bounded domain with C2\mathcal C^2C2 boundary. Let D⊂R2D\subset\mathbb{R}^2D⊂R2 be a disk with the same area as Ω\OmegaΩ. For a>0a>0a>0, let…