[CvGmt News] Seminario di G. Molica Bisci (02/05/2017)

[Alfonso Sorrentino]

SEMINARIO DI EQUAZIONI DIFFERENZIALI
Dipartimento di Matematica
Universita' degli Studi di Roma "Tor Vergata"


Martedi' 2 Maggio 2017, ore 14:30 Aula Dal Passo

Giovanni Molica Bisci (Universita' Mediterranea di Reggio Calabria)

Titolo: Variational and topological methods for nonlocal fractional problems


Abstract: A very interesting area of nonlinear analysis lies in the study
of elliptic equations involving fractional operators. Recently, a great
attention has been focused on these problems, both for the pure
mathematical research and in view of concrete real-world applications.
Indeed, this type of operators appear in a quite natural way in different
contexts, such as the description of several physical phenomena. In
particular, nonlocal critical equations are relevant for their relations
with problems arising in differential geometry and in physics, where a
lack of compactness occurs. Motivated by this wide interest in the current
literature, also in connection with the celebrated Brezis-Nirenberg
problem, in the first part of the talk we will describe the state of the
art for nonlocal critical problems involving the fractional Laplacian
operator or its generalizations. Successively, some recent existence and
multiplicity results will be discussed. In conclusion, certain open
problems will be briefly presented.




Website: http://www.mat.uniroma2.it/~sorrenti/SeminarioED.html



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