The \overline\partial-Robin Laplacian eigenvalue minimization conjecture
Let Ω⊂R2\Omega\subset\mathbb{R}^2Ω⊂R2 be a bounded domain with C2C^2C2 boundary, and for a>0a>0a>0 let Ra\mathcal{R}_aRa be the ∂‾\overline\partial∂-Robin Laplacian on L2(Ω)L^2(\Omega)L2(Ω), with first e…