On the fully nonlinear Alt-Phillips equation
Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:6M6A76OKrecord.jsonopen to challenge →
classification
math.AP
keywords
alt-phillipsequationfullynonlinearregularityboundaryestablishfree
read the original abstract
For a parameter $\gamma\in(1,2)$, we study the fully nonlinear version of the Alt-Phillips equation, $F(D^2u)=u^{\gamma-1}$, 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.