Analysis Seminar

Critical points at prescribed energy levels

by Gaetano Siciliano (Univ. San Paulo, Br)

Sala Seminari (Dipartimento di Matematica)

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.