25 citations · 103 across the 11 of their papers we have counts for
11 papers
The -Minkowski problem with super-critical exponents
Qiang Guang, Qi-Rui Li, Xu-Jia Wang
The -Minkowski problem deals with the existence of closed convex hypersurfaces in with prescribed -area measures. It extends the classical Minkowski prob…
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…
Volume growth, entropy and stability for translating solitons
Qiang Guang
We study volume growth, entropy and stability for translating solitons of mean curvature flow. First, we prove that every complete properly immersed translator has at least linear…
Curvature estimates for stable free boundary minimal hypersurfaces
Qiang Guang, Martin Li, Xin Zhou
In this paper, we prove uniform curvature estimates for immersed stable free boundary minimal hypersurfaces which satisfy a uniform area bound. Our result is a natural generalizati…
On the rigidity of mean convex self-shrinkers
Qiang Guang, Jonathan J. Zhu
Self-shrinkers model singularities of the mean curvature flow; they are defined as the special solutions that contract homothetically under the flow. Colding-Ilmanen-Minicozzi show…
Rigidity and Curvature Estimates for Graphical Self-shrinkers
Qiang Guang, Jonathan J. Zhu
Self-shrinkers are hypersurfaces that shrink homothetically under mean curvature flow; these solitons model the singularities of the flow. It it presently known that an entire self…
Self-Shrinkers With Second Fundamental Form of Constant Length
Qiang Guang
In this note, we give a new and simple proof of a result in {\cite{DX1}} which states that any smooth complete self-shrinker in with second fundamental form of const…
Gap and rigidity theorems of -hypersurfaces
Qiang Guang
We study -hypersurfaces that are critical points of a Gaussian weighted area functional for compact variations that preserve weighted volume. Fir…