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Min-max construction of anisotropic CMC surfaces
【2022.8.25 9:00pm, Zoom会议】

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 2022-8-11 

  Colloquia & Seminars 

  Speaker

Antonio De Rosa,University of Maryland

  Title

Min-max construction of anisotropic CMC surfaces

  Time

2022.08.25 21:00-22:00

  Venue

Zoom ID: 924 888 5804 Passcode: AMSS2022

  Abstract

We prove the existence of nontrivial closed surfaces with constant anisotropic mean curvature with respect to elliptic integrands in closed smooth 3-dimensional Riemannian manifolds. The constructed min-max surfaces are smooth with at most one singular point. The constant anisotropic mean curvature can be fixed to be any real number. In particular, we partially solve a conjecture of Allard [Invent. Math.,1983] in dimension 3.

  Affiliation

 

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