David Ruiz's talk at SISSA

[Emanuele Tuillier Illingworth]

SEMINAR ANNOUNCEMENT


David Ruiz (Univ. Granada)

Title: Standing waves for a Gauged Nonlinear Schrödinger Equation: a 
variational analysis.

Abstract: This paper is motivated by a gauged Schrödinger equation in 
dimension 2 including the so-called Chern-Simons term. At low energies, 
the Maxwell term can be dropped, giving rise to a problem proposed by 
Jackiw & Pi in 1990.

The study of radially symmetric standig waves leads to a nonlinear 
stationary Schrödinger equation involving a nonlocal term. This problem 
is the Euler-Lagrange equation of a certain energy functional. In this 
talk we will be concerned with the global behavior of such functional. 
Time permitting, we shall discuss some existence results of solutions on 
large balls which concentrate at the boundary.

This is joint work with Alessio Pomponio (Politecnico di Bari, Italy).


Venue: Thursday 24 April at 2 pm in lecture room 133