New Entire Solutions for Semilinear Elliptic Equations

MEMBERS SEMINAR
Topic:New Entire Solutions for Semilinear Elliptic Equations
Speaker:Andrea Malchiodi
Affiliation:Scuola Internazionale Superiore di Studi Avanzati, Italy and Member, School of Mathematics
Date:Monday, November 3
Time/Room:2:00pm - 3:00pm/S-101

Motivated by some recent progress in the study of concentration phenomena for singularly perturbed elliptic nonlinear equations and the analogies with some problems in geometric analysis, we prove existence of new entire solutions of the focusing NLS, with non trivial asymptotic profile. We also discuss some relation with the Allen-Cahn equation.