Calculus of Variations and Geometric Measure Theory

Minimal energy solutions and infinitely many bifurcating branches for a class of saturated nonlinear Schrödinger systems

Rainer Mandel

created by gelli on 31 Mar 2016

4 may 2016 -- 17:00   [open in google calendar]

Aula Seminari Dipartimento di Matematica di Pisa

Abstract.

In the talk I will prove existence and nonexistence results for finite energy solutions of some parameter-dependent saturated nonlinear Schrödinger system. It is shown that for most parameter samples the ground state solutions are semitrivial while the existence of infinitely many vectorial solutions is proved using bifurcation theory.