I will present briefly the mathematical models describing a dilute Bose gas. Then, explain the Bose condensation from a simple mathematical point of view and give the model describing the system dilut...
The Mountain Pass Theorem is an important tool in the calculus of variations and in finding solutions to nonlinear PDEs in general. It is important not only for the theory but since publishing the Mou...
We consider the movement of the set of maximum points of the solution of the heat equation in the exterior domain of a ball, under the Neumann boundary condition. We prove that the set of the maximum ...
The asymptotic behavior of the solutions of an elliptic Dirichlet linear problem, where the coefficients vary periodically has been considered by several authors. However, the classical approximation ...
Si studiano problemi di minimo per applicazioni a valori in sfere con vincoli topologici, concentrandosi sul caso modello H1/2 (S1; S1). In questo caso si affronta il problema di minimo per una famigl...
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...
