Si discutono alcune condizioni necessarie per la concentrazione di soluzioni, attorno ad un dato punto, di alcune classi di equazioni e sistemi ellittici singolarmente perturbati. Le condizioni coinvo...
We discuss a couple of problems in which after some limit process, or the energy setting has no sense to be considered either the energy is no finite and some different framework must be considered....
The talk will give a full description of the mathematical analysis of the models arising from semiconductor sciences. Especially, the recent research on both Euler-Poisson system and quantum drift-dif...
I will talk about some recent results obtained in collaboration with E. Valdinoci and V. O. Savin. We consider weak solutions of div(−Du(x)−p−2Du(x))=h0’(u(x)) where h0 is a double-well potential. We ...
In this talk I would like to discuss solutions with maximal number of spikes on a domain, their energy levels and various other related questions for a singularly perturbed semilinear Neumann problem....
Si studia un problema a discontinuita libera che consiste nella minimizzazione di un funzionale ottenuto come somma di un’energia di volume (energia elastica) e di un’energia di superficie. Tale probl...
Si provano le classiche stime di Harnack paraboliche utilizzando le classi di De Giorgi invece che il crossover lemma utilizzato da Moser. La dimostrazione data modifica una dimostrazione originariame...
We will consider the L2 critical nonlinear Schrodinger equation in dimension smaller or equal to 4 in the full space. At the blow-up in the energy space, we have a concentration of a universal L2 mass...
We develop the concept and the calculus of anti-self dual Lagrangians which seem inherent to many questions in mathematical physics, geometry, and differential equations. They yield variational formul...
