A simple proof of the Gagliardo-Nirenberg inequalities (involving the Sobolev inequality)is presented by means of the heat semigroup.This talk is based on a recent joint-work with Taiki Takeuchi, Waseda University.…
Categoria evento: Analysis Seminar
Optimal regularity for supercritical parabolic obstacle problems – Damià Torres (Universitat de Barcelona)
The parabolic nonlocal obstacle problem is said to be in the supercritical regime (s < 1/2) when the time derivative…
Nikodym-type spherical maximal functions – Alan Chang (Princeton University)
We study $L^p$ bounds on Nikodym maximal functions associated to spheres. In contrast to the spherical maximal functions studied by Stein and Bourgain, our maximal functions are uncentered: for each point in $\mathbb R^n$, we take the supremum over…
A short proof of Allard’s theorem – Carlo Gasparetto (SISSA)
Allard’s theorem roughly states that a minimal surface, that is close enough to a plane, coincides with the graph of a smooth function which enjoys suitable a priori estimates. In this talk we will show how one can prove this result by exploiting…
Clustering Solutions for a Boundary Yamabe Problem – Sergio Cruz Blanquez (Università degli Studi della Campania)
In this talk we consider a boundary case of the classical Kazdan-Warner problem in dimension greater or equal than four,…
The influence of a strong oscillating magnetic field in an elastic body – Juan Casado Diaz (Universidad de Sevilla)
We study the homogenization of the elastic system submitted to a strong oscillating magnetic field. We prove that oscillations in time or space make increase the effective mass. More generally, oscillations in time and space produce a new term in…
Old and new questions in the regularity theory of the d-bar-Neumann problem – Gian Maria Dall'Ara (Scuola Normale Superiore di Pisa)
In this talk, I will discuss various questions in the analysis of the d-bar-Neumann problem, a classical noncoercive boundary value…
Normalized solutions for non-autonomous Schroedinger equations in $R^n$ and exterior domains – Riccardo Molle (Università Roma Tor Vergata)
This talk concerns with some recent results about theexistence of positive solutions with prescribed mass for nonlinearSchrödinger equations with a…
Existence of optimal shapes in optimal control theory – Idriss Mazari (Université de Paris Dauphine)
In this talk, we present several recent contributions (in collaboration with G. Nadin and Y. Privat) on the question of the existence of optimal shapes in optimal control theory for bilinear models. Motivated by applications in spatial ecology, we…
Critical points at prescribed energy levels – Gaetano Siciliano (Univ. San Paulo, Brazil)
In this talk, we discuss the existence of critical points for a family of abstract and smooth functionals on Banach spaces under the energy constraint. By using the Ljusternick-Schnirelmann theory and the fibering method of Pohozaev we show, under…