LITERATURE AND WORKING SEMINAR

ABSTRACT OF THE TALK
In this talk I will report some recent work on a De Giorgi type conjecture, i.e. one dimensional symmetry problems for entire solutions to an elliptic system. The corresponding singular perturbation problem for this system exhibits a "phase separation" phenomena and it is closely related to some optimal partition problems. I will also discuss some genralizations of classical tools, such as the blow up analysis, monotonicity formula and the harmonic approximation technique in this singular perturbation problem.

BIOGRAPHY
Kelei Wang is from Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences. His current research interests are mainly in qualitative and geometric properties of semilinear elliptic equations and singular perturbation problems.