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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Prof. Qing Han,University of Notre Dame, USA

Inviter: 黄飞敏 研究员
Title:
Asymptotic Expansions of Solutions of the Yamabe Equation and the sigma-k Yamabe Equation near Isolated Singular Points
Time & Venue:
2019.1.9 16:00 N613
Abstract:

We study asymptotic behaviors of positive solutions to the Yamabe equation and the sigma-k Yamabe equation near isolated singular points and establish expansions up to arbitrary orders. Such results generalize an earlier pioneering work by Caffarelli, Gidas, and Spruck, and a work by Korevaar, Mazzeo, Pacard, and Schoen, on the Yamabe equation, and a work by Han, Li, and Teixeira on the sigma-k Yamabe equation. The proof is based on a study of the linearized operators at radial solutions, following an approach adopted by Korevaar et al.

 

 

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