from Universidad de Buenos Aires
to Universidad Autonoma de Madrid
from 01 April 2018 to 31 May 2018
A research collaboration has been started with F. Quirós, concerning the existence of positive solutions for nonlocal problems involving a
critical exponent, where the main difficulty is the lack of compactness. For lower exponents, existence of solution is easy to find, since the involved function spaces are compactly included in suitable Lebesgue spaces. Due to the lack of compactness, the necessity of a concentration-compactness principle arises.