CRM: Centro De Giorgi
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A Pisan workshop in Geometric Analysis

CMC and isoperimetric small double bubbles in compact manifolds

speaker: Gianmichele Di Matteo (Karlsruhe Institute of Technology)

abstract: In this talk, we will show how CMC and isoperimetric sets enclosing and separating two different small volumes in a manifold, arise as small perturbations of Euclidean standard double bubbles. These latter were shown to be isoperimetric minimizers given two fixed volumes by Hutchings, Morgan, Ritoré and Ros. Due to the singular nature of the model minimizer, the perturbations considered contain a non-trivial tangential component. The proof is based on elements from oscillation theory for degenerate elliptic operators, Hodge theory for overdetermined non-elliptic problems and perturbation theory.

Wed 13 Oct, 18:00 - 19:30, Aula Dini
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