Stable solutions to semilinear elliptic equations

Relatore:  Alessio Figalli - ETH Zurich
  venerdì 27 novembre 2020 alle ore 14.30
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

Marco Caliari

Data pubblicazione
17 novembre 2020

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