An alternative approach to the Faber–Krahn inequality for Robin problems

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Geometrical Structure of Laplacian Eigenfunctions (2012, background): “Daners proved that among all bounded domains Ω ⊂ R of the same volume, the ball B minimizes the first Robin eigenvalue [94, 144]”
A Variational Approach to the Isoperimetric Inequality for the Robin Eigenvalue Problem (2010, background): “[10] Daners D., Kennedy J.: Uniqueness in the Faber-Krahn inequality for Robin problems.”
Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications (2015, background): “As pointed out in [10,11], much more literatures concern the principal eigenvalue for elliptic operators with Dirichlet or Robin boundary conditions; see [5–8,16,17,20,21,30,38, 46,47,56] among many others; in particular, in an extensive survey paper [32], Grebenkov and Nyuyen summarized the very re”
Faber–Krahn Inequalities for the Robin-Laplacian: A Free Discontinuity Approach (2015, methodology): “Moreover, equality holds in the family of Lipschitz domains if and only if Ω is a ball (see [5,14]).”