For nonlinear elliptic problems with periodic nonlinearities, there is a rich variety of solutions which are bounded or unbounded.
For bounded solutions, it is related to the Allen-Cahn equation; for unbounded solutions, to a work of Moser which is a PDE version of
Aubry-Mather theory in Hamiltonian systems.
I would like to introduce my recent works with Paul Rabinowitz for construction of new types of bounded solutions and unbounded solutions.
Time: 16:00 on May. 14 (Thu)
Place: BAB 106
Contact: Prof. Hantaek Bae