Hamiltonian identities for Elliptic PDEs and their applications

Thursday, November 1, 2012 - 10:30am - 12:00pm
Lind 305
Changfeng Gui (University of Connecticut)
In this talk I will present Hamiltonian identities for elliptic PDEs and systems of PDEs. I will then show some interesting applications of these identities to problems related to solutions of some nonlinear elliptic equations in the entire space. In particular, I will use the identities to show symmetry results for solutions of stationary Schrodinger equations and stationary and traveling wave solutions of the Allen-Cahn equation.