1) On the existence and Morse index of solutions to the Allen-Cahn equations in two dimensions (download .ps file(465 KB))

2) Approximate invariant manifold of the Allen-Cahn flow in two dimensions (download .pdf file (165 KB))

3) Minimality and non-degeneracy of Degree-one Ginzburg-Landau vortex  as a Hardy's type inequality (with M. del Pino and P. Felmer) (download .pdf file (201 KB))

4) Singular limits in Liouville type equations (with M. del Pino and M. Musso) (download .pdf file (327 KB))

Teaching

Spring 2003:

• MATH 42045: Partial differential equations
• MATH 49999: Differential Equations in Biological and Social Sciences

Fall 2003:

• MATH 4/52031: Mathematical Models and Dynamical Systems

Spring 2004:

• MATH 4/52045: Partial Differential Equations
• MATH 4/52011: Mathematical Optimization

Contact information