Seminari del Dipartimento

Analisi Matematica

In this talk I will present some concentration phenomena near to a critical setting, where "critical" is understood in the sense of the Sobolev embedding. Typical models involve the semilinear nonlocal elliptic equation with the fractional Laplacian with power-like or exponential nonlinearity.
We construct solutions of these kind of problems when the parameters force the Sobolev and Moser-Trudinger inequalities to be almost critical. We provide also the location of the concentration points and the precise
asymptotic concentration profile of these solutions.

This is a joint work with P. Esposito (Roma), J. Davila (Santiago de Chile) and Y. Sire (Baltimore).
 
org: ESPOSITO Pierpaolo