17 citations · 73 across the 17 of their papers we have counts for
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math.DG2018★ 1 cited
Min-max theory for networks of constant geodesic curvature
Xin Zhou, Jonathan J. Zhu
We prove that on a closed surface, for any , our min-max theory for prescribing mean curvature produces a solution given by a curve of constant geodesic curvature which is…
math.DG2018★ 17 cited
Existence of hypersurfaces with prescribed mean curvature I - Generic min-max
Xin Zhou, Jonathan J. Zhu
We prove that, for a generic set of smooth prescription functions on a closed ambient manifold, there always exists a nontrivial, smooth, closed hypersurface of prescribed mean…