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math.AP2022
Isoperimetric estimates for solutions to the p-Laplacian with variable Robin boundary conditions
Vincenzo Amato, Francesco Chiacchio, Andrea Gentile
In this paper we study the -Poisson equation with Robin boundary conditions, where the Robin parameter is a function. By means of some weighted isoperimetric inequalities, we pr…
math.AP2022
Weighted symmetrization results for a problem with variable Robin parameter
A. Alvino, F. Chiacchio, C. Nitsch +1
By means of a suitable weighted rearrangement, we obtain various apriori bounds for the solutions to a Robin problem. Among other things, we derive a family of Faber-Krahn type ine…