This is a companion paper to our recent work [Crasta G., Fragalà I, "Bernoulli free boundary problem for the infinity Laplacian", SIAM J. Math. Anal. 52 (2020), pp. 821-844], where we studied the interior Bernoulli free boundary for the infinity Laplacian. Here we consider its variational side, which corresponds to the supremal version of the Alt–Caffarelli minimizationproblem.

On the supremal version of the Alt–Caffarelli minimization problem / Crasta, Graziano; Fragalà, Ilaria. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 14:3(2021), pp. 327-341. [10.1515/acv-2018-0077]

On the supremal version of the Alt–Caffarelli minimization problem

Crasta, Graziano;
2021

Abstract

This is a companion paper to our recent work [Crasta G., Fragalà I, "Bernoulli free boundary problem for the infinity Laplacian", SIAM J. Math. Anal. 52 (2020), pp. 821-844], where we studied the interior Bernoulli free boundary for the infinity Laplacian. Here we consider its variational side, which corresponds to the supremal version of the Alt–Caffarelli minimizationproblem.
2021
Free boundary problems; Bernoulli constant; Lipschitz functions; convex domains; parallel sets; infinity Laplacian
01 Pubblicazione su rivista::01a Articolo in rivista
On the supremal version of the Alt–Caffarelli minimization problem / Crasta, Graziano; Fragalà, Ilaria. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 14:3(2021), pp. 327-341. [10.1515/acv-2018-0077]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1572612
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