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math.DG2017★ 16 cited
Min-max theory for constant mean curvature hypersurfaces
Xin Zhou, Jonathan J. Zhu
In this paper, we develop a min-max theory for the construction of constant mean curvature (CMC) hypersurfaces of prescribed mean curvature in an arbitrary closed manifold. As a co…
math.DG2017
Moving-centre monotonicity formulae for minimal submanifolds and related equations
Jonathan J. Zhu
Monotonicity formulae play a crucial role for many geometric PDEs, especially for their regularity theories. For minimal submanifolds in a Euclidean ball, the classical monotonicit…