Bruno Premoselli (Université Libre de Bruxelles, Belgium)

Geometric Analysis seminar series.

Speaker: Bruno Premoselli (Université Libre de Bruxelles, Belgium)

Time: February 17, Thursday, 4 pm (Indian Standard Time)

Title: A priori estimates for sign-changing solutions of critical elliptic
equations of Schrodinger-Yamabe type

Abstract: In this talk we consider sign-changing solutions of critical
Yamabe-Schrodinger type equations of second order. Unlike their positive
counterpart these solutions have no direct physical or geometrical
meaning, but have been shown to arise in geometrical contexts. They appear
for instance as extremals for higher eigenvalues minimisation problems in
a given conformal class. We describe in this talk the structure of
bubbling sign changing solutions for these equations and provide a
detailed asymptotic description, in strong spaces, of the blow-up. As a
consequence we prove some precompactness results for the set of
energy-bounded solutions of these equations. Some of these results have
been obtained in collaboration with J. VĂ©tois (McGill University).

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Thu, February 17, 2022
Start Time
4:00pm IST
Created by
Thu, February 17, 2022 12:37pm IST