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Author
Date
2020Type
- Journal Article
Abstract
By a classical result of Kazdan-Warner, for any smooth sign-changing function f with negative mean on the torus (M, gb) there exists a conformal metric g = e(2u) g(b) with Gauss curvature K-g = f, which can be obtained from a minimizer u of Dirichlet's integral in a suitably chosen class of functions. As shown by Galimberti, these minimizers exhibit "bubbling" in a certain limit regime. Here we sharpen Galimberti's result by showing that all resulting "bubbles" are spherical. Moreover, we prove that analogous "bubbling" occurs in the prescribed curvature flow. Show more
Publication status
publishedExternal links
Journal / series
Journal of the European Mathematical SocietyVolume
Pages / Article No.
Publisher
European Mathematical SocietySubject
Prescribed curvature; conformal geometry; geometric flows; Concentration phenomenaOrganisational unit
03239 - Struwe, Michael (emeritus) / Struwe, Michael (emeritus)
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