4 citations · 8 across the 3 of their papers we have counts for
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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…
Compactness and generic finiteness for free boundary minimal hypersurfaces (II)
Zhichao Wang
Given a compact Riemannian manifold with boundary, we prove that the limit of a sequence of embedded, almost properly embedded free boundary minimal hypersurfaces, with uniform are…
Compactness and generic finiteness for free boundary minimal hypersurfaces (I)
Qiang Guang, Zhichao Wang, Xin Zhou
Given a compact Riemannian manifold with boundary, we prove that the space of embedded, which may be improper, free boundary minimal hypersurfaces with uniform area and Morse index…
Free boundary minimal hypersurfaces with least area
Qiang Guang, Zhichao Wang, Xin Zhou
In this paper, we prove the existence of the free boundary minimal hypersurface of least area in compact manifolds with boundary. Such hypersurface can be viewed as the ground stat…