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L’INdAM ha il piacere di  annunciare il prossimo Colloquium INdAM 2020:

Venerdì 27 Novembre 2020 – ore 14.30

Speaker: Prof. Alessio Figalli (ETH Zurich)

Titolo: Stable solutions to semilinear elliptic equations

Riassunto: Stable solutions to semilinear elliptic PDEs appear in several problems. It is known since the 1970’s that, in dimension n > 9, there exist singular stable solutions. In this talk I will describe a recent work with Cabré, Ros-Oton, and Serra, where we prove that stable solutions in dimension n ≤ 9 are smooth. This answers also a famous open problem posed by Brezis, concerning the regularity of extremal solutions to the Gelfand problem.

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