Tangential touch between free and fixed boundaries for the fully nonlinear Alt-Phillips problem
Analysis of PDEs
2025-09-03 v1
Abstract
For the fully nonlinear Alt-Phillips problem with parameter , we show that the free boundary intersects the fixed boundary tangentially where the Dirichlet data vanish. For this range of , this result is new even when the operator is the Laplacian.
Cite
@article{arxiv.2509.02064,
title = {Tangential touch between free and fixed boundaries for the fully nonlinear Alt-Phillips problem},
author = {Yamin Wang and Hui Yu},
journal= {arXiv preprint arXiv:2509.02064},
year = {2025}
}