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arXiv · 2008.06567

On the fully nonlinear Alt-Phillips equation

Yijing Wu·Hui Yu
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Abstract

For a parameter $γ\in(1,2)$, we study the fully nonlinear version of the Alt-Phillips equation, $F(D^2u)=u^{γ-1}$, for $u\ge 0.$ We establish the optimal regularity of the solution, as well as the $C^1$ regularity of the regular part of the free boundary.

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Yijing Wu, Hui Yu. 2020-11-17. On the fully nonlinear Alt-Phillips equation. https://arxiv.org/abs/2008.06567

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