Bernoulli Free Boundary Problem for the Infinity Laplacian
Graziano Crasta, Ilaria Fragalà · SIAM Journal on Mathematical Analysis · 2020
We study the interior Bernoulli free boundary problem for the infinity Laplacian. Our results cover the 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 $p$-Laplacian.