Si illustreranno alcuni recenti risultati sul funzionale dell'area del grafico di mappe discontinue del piano in se$ i legami di questo problema con il problema di Plateau ambientato tra le mappe semi...
We construct solutions with finite and infinite type-II blow-up (and analyze their stability) in two related parabothestandardsemilinearheatequationwithapowernonlinearityatthecriticalexponentinabounde...
Si considera un'equazione quasilineare con secondo membro misura il cui primo membro non definisce un operatore coercivo. Si dimostra un risultato di esistenza del tipo alternativa di Fredholm. Per qu...
SEMINARIO DEI DOTTORANDI We consider a class of fully nonlinear, autonomous and reversible Schrödinger equations on the circle and we prove the existence and the stability of Cantor families of (small...
We discuss vortex configurations in the abelian self-dual Chern-Simons-Higgs model, where topological invariants can just describe a part of the picture. We construct non-topological condensates (=dou...
The topic of stochastic homogenization of elliptic partial differential equations in divergence form is classical. It is about the homogeneous large-scale behavior of heterogeneous media, like conduct...
The well-studied power-law-nonlinearity elliptic PDE is known to exhibit a variety of interesting effects, including non-existence, non-uniqueness and concentration phenomena. The application of forma...
Segregation phenomena occurs in many areas of mathematics and science: from equipartition problems in geometry, to social and biological processes (cells, bacteria, ants, mammals) to finance (sellers ...
