Calculus of Variations and Geometric Measure Theory
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Singular solutions of the Yamabe equation

Qing Han

created by malchiodi on 28 Jun 2017

5 jul 2017 -- 15:00   [open in google calendar]

Scuola Normale Superiore, Aula Bianchi

Abstract.

In a classical paper, Cafferelli, Gidas and Spruck discussed positive solutions of the Yamabe equation, corresponding to the positive scalar curvature of the conformal metrics, with a nonremovable isolated singularity. They proved that solutions are asymptotic to radial singular solutions. Korevaar, Mazzeo, Pacard, and Schoen expanded solutions to the next order. In this talk, we discuss how to expand solutions up to arbitrary order.

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