5 citations · 11 across the 8 of their papers we have counts for
11 papers
Min-max minimal hypersurfaces with higher multiplicity
Zhichao Wang, Xin Zhou
We exhibit the first set of examples of non-bumpy metrics on the -sphere () in which the varifold associated with the two-parameter min-max construction must…
Uryson width of three dimensional mean convex domain with non-negative Ricci curvature
Zhichao Wang, Bo Zhu
We prove that for every three dimensional manifold with nonnegative Ricci curvature and strictly mean convex boundary, there exists a Morse function so that each connected componen…
Conformal upper bounds for the volume spectrum
Zhichao Wang
In this paper, we prove upper bounds for the volume spectrum of a Riemannian manifold that depend only on the volume, dimension and a conformal invariant.
Multiplicity one for min-max theory in compact manifolds with boundary and its applications
Ao Sun, Zhichao Wang, Xin Zhou
We prove the multiplicity one theorem for min-max free boundary minimal hypersurfaces in compact manifolds with boundary of dimension between 3 and 7 for generic metrics. To approa…
Existence of minimal hypersurfaces with non-empty free boundary for generic metrics
Zhichao Wang
For almost all Riemannian metrics (in the Baire sense) on a compact manifold with boundary , , we prove that, for any open sub…
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…