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Seminar
FIELD Math:Analysis
DATE January 25 (Mon), 2021
TIME 10:00-12:00
PLACE Online
SPEAKER Kim, Seunghyeok
HOST Jeong, In-Jee
INSTITUTE 한양대학교
TITLE Multiple blowing-up solutions to critical elliptic systems in bounded domains
ABSTRACT In this talk, we consider the existence of families of blowing-up solutions to elliptic systems on smooth bounded domains in the Euclidean space, which are variants of the critical Lane-Emden system and analogous to the Brezis-Nirenberg problem. We see that the governing function of blowing-up points and rates reflects the strong nonlinear characteristic of the system. If time permits, we also discuss how the new ideas and arguments developed here can be used to analyze blowing-up phenomena in related Hamiltonian-type systems. This is joint work with A. Pistoia (Sapienza University of Rome).
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