Abstract: The seminar concerns the study of evolution equations on graphs, motivated by applications in data science and opinion dynamics. We will discuss graph analogues of the continuum nonlocal-int...
Abstract: I present some results concerning the number of critical points and the number of nodal domains of Steklov eigenfunctions. The results have been obtained in collaboration with Luca Battaglia...
We prove the existence of nontrivial closed smooth surfaces with constant anisotropic mean curvature with respect to elliptic integrands in closed smooth 3-dimensional Riemannian manifolds. Joint work...
Abstract: In this talk I will present some recent results on the Kirchhoff equation of nonlinear elasticity, describing transversal oscillations of strings and plates, with periodic boundary condition...
Abstract: I present some results concerning the number of critical points and the number of nodal domains of Steklov eigenfunctions. The results have been obtained in collaboration with Luca Battaglia...
Abstract: We present some results for Radon measure-valued solutions of first order scalar conservation laws. In particular we discuss the case in which the singular part of the initial datum is a sup...
Abstract: I will present a study on the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flows in three dimensional space, for which we need to establish a ...
After introducing the main notions of evolution for rate-independent systems and the general abstract approach to prove their existence, I will discuss, in this framework, models coupling linearized e...
