In this talk, I will present a recent regularity result for isoperimetric sets with densities, under mild H\¨older regularity assumptions…
Categoria evento: Analysis Seminar
On the Nirenberg problem on spheres: Arbitrarily many solutions in a perturbative setting – Mohameden Ahmedou (Justus Liebig-Universität Gießen)
Given a smooth positive function $K$ on the standard sphere $(\mathbb{S}^n,g_0)$, we use refined blow up analysis, Morse theoretical methods…
Fractional relativistic magnetic Schrödinger operators – Pietro d'Avenia (Politecnico di Bari)
We discuss some recent results on relativistic fractional Schrödinger operators involving an external magnetic field (joint work with Federico Bernini).…
Some estimates in (fractional) spectral geometry – Lorenzo Brasco (Università di Ferrara)
We consider the first eigenvalue of the Dirichlet-Laplacian in a general open set. We seek for a geometric lower bounds,…
Travelling waves for a nonlinear Schrödinger system with quadratic interaction – Masayuki Hayashi (Università di Pisa)
Solitary waves (solitons, standing waves, traveling waves) are known to play a fundamental role in the analysis of nonlinear dispersive…
Un recente modello matematico di percezione del colore basato sull’informazione quantistica – Edoardo Provenzi (Université de Bordeaux)
La percezione del colore da parte del sistema visivo umano è un fenomeno complesso e affascinante che è stato studiato da molti fisici e matematici di prima importanza, tra cui Newton, Maxwell, Grassmann e Helmholtz, per citare solo i più noti. Nel…
Optimal Quantization and Centroidal Voronoi Tessellations – Rustum Choksi (McGill University)
Nonconvex and nonlocal variational problems are pervasive in energy-driven pattern formation.Two central issues are: (Q1) can one conjecture and prove…
Transport of currents – Filip Rindler (University of Warwick)
The transport of singular structures, such as vortex lines/sheets in fluids, topological singularities in magnetism, or dislocation lines in plastic…
Capacity and torsional rigidity: two measures of spectral stability – Roberto Ognibene (Università di Pisa)
In this talk, I will discuss the behavior of the spectrum of the Laplacian on bounded domains, subject to varying…
Sobolev embedding and distance functions – Francesca Prinari (Università di Pisa)
On a general open set of the euclidean space, we study the relation between the embedding of the homogeneous Sobolev…