27 citations · 28 across the 2 of their papers we have counts for
4 papers
Contracting convex surfaces by mean curvature flow with free boundary on convex barriers
Sven Hirsch, Martin Li
We consider the mean curvature flow of compact convex surfaces in Euclidean -space with free boundary lying on an arbitrary convex barrier surface with bounded geometry. When th…
Min-max theory for free boundary minimal hypersurfaces II -- General Morse index bounds and applications
Qiang Guang, Martin Man-chun Li, Zhichao Wang +1
For any smooth Riemannian metric on an -dimensional compact manifold with boundary where , we establish general upper bounds for the Mors…
Free boundary minimal surfaces in the unit ball : recent advances and open questions
Martin Li
In this survey, we discuss some recent results on free boundary minimal surfaces in the Euclidean unit-ball. The subject has been a very active field of research in the past few ye…
Free Boundary Minimal Surfaces in the Unit Three-Ball via Desingularization of the Critical Catenoid and the Equatorial Disk
Nikolaos Kapouleas, Martin Man-chun Li
We construct a new family of high genus examples of free boundary minimal surfaces in the Euclidean unit 3-ball by desingularizing the intersection of a coaxial pair of a critical…