In dimension n elliptic PDE’s with an exponential non-linearity can have a critical behavior when the differential operator either involves derivatives of order >2 or is quasi-linear. Due to intrinsic invariances such PDE’s present a natural lack of…
Categoria evento: Seminars
On the Plateau-Douglas problem for the Willmore energy – Marco Pozzetta (Universita’ di Pisa)
In this talk we will introduce the Willmore energy of surfaces in the three-dimensional euclidean space, which is the surface integral of the squared mean curvature. For a smooth closed embedded planar curve, we will consider the minimization of the…
Matematici nell’editoria scolastica – Martha Fabbri (Mondadori)
Una panoramica del mercato per la scuola secondaria di primo e secondo grado, la filiera di produzione di un testo…
Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint. – Ilaria Lucardesi (Institut Elie Cartan de Lorraine)
In this talk I present some recent results about the minimization of $\lambda_k$ under diameter constraint. After providing existence, attained at a constant width body, and optimality conditions in any dimension, I focus my attention on the…
A minimization approach to the wave equation on time-dependent domains. – Lucia De Luca (Università di Pisa)
We prove the existence of weak solutions to the homogeneous wave equation on a suitable class of time-dependent domains. Using the approach suggested by De Giorgi and developed by Serra and Tilli, such solutions are approximated by minimizers of…
Il matematico in classe – Pietro di Martino (Delegato del Rettore per la formazione insegnanti)
Nel corso dell’incontro saranno illustrate le opportunità e le modalità per diventare insegnante di scuola secondaria (di primo e secondo…
Analysis of Novel Domain Wall Types in Ferromagnetic Nanostructures – Cyrill Muratov
Recent advances in nanofabrication allow an unprecedented degree of control of ferromagnetic materials down to the atomic scale, resulting in novel nanostructures whose properties are often dominated by material interfaces. Mathematically, these…
Further developments in pluripotential theory – Azimbay Sadullaev (National University of Uzbekistan)
It is well known that the classical potential theory is based on the class of subharmonic functions and on the Laplace operator. The pluripotential theory, constructed in the 80s of the last century, is based on plurisubharmonic functions and on the…
Non-homogeneous persistent random walks and averaged environment for the Lévy-Lorentz gas – Giampaolo Cristadoro (Università di Milano-Bicocca)
I will first introduce a model known in the physical literature as the Lévy-Lorentz gas. The model describes the continuous-time motion of a particle on the real line in the presence of a random array of marked points, whose nearest-neighbor…
Moduli and periods beyond the classical cases – Radu Laza ((Stony Brook University))
Radu Laza (Stony Brook University) Title: Moduli and periods beyond the classical cases Abstract: The period map is the main tool for studying the moduli spaces of abelian varieties and K3 surfaces (and a few other related cases such as…