seminario Gabriele Mancini (vincitore procedura RTDA, SSD MAT/05) Critical points of Moser-Trudinger type functionals: a general picture
ore 14:45 - 15:30
Gabriele Mancini (vincitore procedura RTDA, SSD MAT/05)
Critical points of Moser-Trudinger type functionals: a general picture
I will give a general overview of the main results concerning existence and qualitative properties of solutions to a family of semilinear elliptic problems involving critical Moser-Trudinger type non-linearities in dimension two. In particular, I will discuss some recent developments in the description of bubbling and mass quantization phenomena due to lack of compactness. The main goal of the seminar is to describe the strict connection between the growth of the non-linearity, the qualitative shape of the solutions, and the asymptotic values of their Dirichlet energy.
These results were obtained in some joint works with P.D. Thizy, M. Grossi, D. Naimen and A. Pistoia.
