Display Abstract

Title Supercritical Schr\"{o}dinger systems in dimension two

Name Cristina Tarsi
Country Italy
Email Cristina.Tarsi@unimi.it
Co-Author(s) D. Cassani
Submit Time 2014-02-28 07:21:12
Session
Special Session 127: Functional Inequalities and Variational Problems
Contents
We prove existence of variational solutions for the Hamiltonian coupling of nonlinear Schr\"{o}dinger equations in the whole plane, when the nonlinearities exhibit supercritical growth with respect to the Trudinger-Moser inequality. We discover linking type solutions which have finite energy in a suitable Lorentz-Sobolev space setting.