Critical points at prescribed energy levels

by Gaetano Siciliano (Univ. San Paulo, Br)

Monday 10 Oct 2022, 17:00 → 18:00 Europe/Rome

Sala Seminari (Dipartimento di Matematica)

In this talk, we discuss the existence of critical points for a family of abstract and smooth functionals on Banach spaces under the energy constraint. By using the Ljusternick-Schnirelmann theory and the fibering method of Pohozaev we show, under suitable assumptions, multiplicity results.
The abstract framework is then applied to some partial differential equations depending on a parameter for which we obtain multiple solutions as well as some bifurcation results.