English

On the supremal version of the Alt-Caffarelli minimization problem

Analysis of PDEs 2024-12-30 v1

Abstract

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 corresponds to the supremal version of the Alt--Caffarelli minimization problem.

Keywords

Cite

@article{arxiv.1811.12810,
  title  = {On the supremal version of the Alt-Caffarelli minimization problem},
  author = {Graziano Crasta and Ilaria Fragalà},
  journal= {arXiv preprint arXiv:1811.12810},
  year   = {2024}
}

Comments

18 pages, 2 figures