Construction of hypersurfaces of prescribed mean curvature

Construction of hypersurfaces of prescribed mean curvature - Jonathan Zhu

Jonathan Zhu
Harvard University; Visitor, School of Mathematics
October 9, 2018
We'll describe a joint project with X. Zhou in which we use min-max techniques to prove existence of closed hypersurfaces with prescribed mean curvature in closed Riemannian manifolds. Our min-max theory handles the case of nonzero constant mean curvature, and more recently a generic class of smooth prescription functions, without assuming a sign condition.