Bernoulli free boundary problem for the infinity Laplacian
Analysis of PDEs
2019-05-09 v2
Abstract
We study the interior Bernoulli free boundary problem for the infinity Laplacian. Our results cover existence, uniqueness, and characterization of solutions (above a threshold representing the "infinity Bernoulli constant"), their regularity, and their relationship with the solutions to the interior Bernoulli problem for the -laplacian.
Cite
@article{arxiv.1804.08573,
title = {Bernoulli free boundary problem for the infinity Laplacian},
author = {Graziano Crasta and Ilaria Fragalà},
journal= {arXiv preprint arXiv:1804.08573},
year = {2019}
}
Comments
24 pages, 3 figures