It is established, via variational methods, the existence and multiplicity of solutions for a class of semilinear elliptic equations in Rn. The condition on the potential implies that the associated l...
We give a survey on recent results on control Lyapunov functions and their representations as (sub-/super-) solutions of suitable PDEs. In particular we will discuss the relation between regularity of...
We present recent results on the characterization of the global semiflow generated by scalar semilinear parabolic equations of the form ut=uxx+f(u,ux), x∈S1, t≥0, with periodic boundary conditions....
The implicit function theorem can be used in a certain nondirect way for the obtaining of smooth bifurcation branches and a smooth dependence of solutions on parameters for variational inequalities. T...
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...
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...
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...
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....
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 ...
