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math.AP2025
First Eigenvalue and Torsional Rigidity: Isoperimetric Inequalities for the Fractional Laplacian
Barbara Brandolini, Ida de Bonis, Vincenzo Ferone +2
We present a fractional counterpart of a generalized Kohler-Jobin inequality, showing that, among all bounded, open sets with Lipschitz boundary, having the…
math.AP2025
Concentration comparison for nonlinear diffusion on model manifolds and Pólya-Szegő inequality
Matteo Muratori, Bruno Volzone
We investigate the validity of the mass concentration comparison for a class of nonlinear diffusion equations posed on Riemannian manifolds that are spherically sy…