Supercritical Systems of Schrödinger Equations in Dimension Two
Speaker: Daniele Cassani, University of Insubria, Italy
Location: Warren Weaver Hall 1302
Date: Thursday, April 16, 2015, 11 a.m.
We present recent results on existence of solitary waves solutions for semilinear elliptic systems in the whole plane. We assume nonlinearities may exhibit supercritical growth with respect to the critical growth prescribed by the Pohozaev-Trudinger-Moser inequality. A suitable variational framework provides linking type solitons which have finite energy in a Sobolev-Lorentz function space setting.