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arXiv · 2509.02064

Tangential touch between free and fixed boundaries for the fully nonlinear Alt-Phillips problem

Yamin Wang·Hui Yu
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Abstract

For the fully nonlinear Alt-Phillips problem with parameter $\gamma\in(1,2)$, we show that the free boundary intersects the fixed boundary tangentially where the Dirichlet data vanish. For this range of $\gamma$, this result is new even when the operator is the Laplacian.

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Yamin Wang, Hui Yu. 2025-09-02. Tangential touch between free and fixed boundaries for the fully nonlinear Alt-Phillips problem. https://arxiv.org/abs/2509.02064

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