Improved $C^{1,1}$ regularity for multiple membranes problem
Zhichao Wang, Xin Lian Zhou · arXiv (Cornell University) · 2023
We prove the $C^{1,1}$-regularity for stationary $C^{1,α}$ ($α\in(0,1)$) solutions to the multiple membrane problem. This regularity estimate was essentially used in our recent work on Yau's four minimal spheres conjecture.