25 citations · 127 across the 25 of their papers we have counts for
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On the supremal version of the Alt-Caffarelli minimization problem
Graziano Crasta, Ilaria Fragalà
This is a companion paper to our recent work [9], where we studied the interior Bernoulli free boundary for the infinity Laplacian. Here we consider its variational side, which cor…
On the first eigenvalue of the normalized p-Laplacian
Graziano Crasta, Ilaria Fragalà, Bernd Kawohl
We prove that, if is an open bounded domain with smooth and connected boundary, for every the first Dirichlet eigenvalue of the normalized -Laplacian i…
Bernoulli free boundary problem for the infinity Laplacian
Graziano Crasta, Ilaria Fragalà
We study the interior Bernoulli free boundary problem for the infinity Laplacian. Our results cover existence, uniqueness, and characterization of solutions (above a threshold repr…
Optimal partitions for Robin Laplacian eigenvalues
Dorin Bucur, Ilaria Fragalà, Alessandro Giacomini
We prove the existence of an optimal partition for the multiphase shape optimization problem which consists in minimizing the sum of the first Robin Laplacian eigenvalue of mut…