Verra data una idea delle motivazioni. Il primo risultato e una teo- ria generale per la convergenza di limiti singolari per sistemi iperbolici in forma pseudodifferenziale verso: i) Approssimazione d...
In this talk I would like to describe some qualitative properties of positive solutions to semilinear elliptic equations and/or systems under various boundary conditions. In particular, I will focus o...
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....
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...
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...
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...
In this lecture we are concerned with the following biharmonic equation Δ2u(x)=uq(x) x ∈Ω, u(x)=Δu(x)=0 x ∈∂Ω (P$ε$) where q=ε+(n+4)/(n−4), Ω is a smooth bounded domain in Rn (n≥5), and ε is a real nu...
Presentiamo i risultati di una ricerca svolta con Daniela Giachetti (Roma) e Ireneo Peral (Madrid). Consideriamo delle equazioni paraboliche (con condizioni di Cauchy-Dirichlet in un aperto limitato d...
Since the first experimental achievement of Bose Einstein condensates in 1995, and more recently the Nobel prizes in 2001 and this year, a lot of properties of these systems are studied experimentally...
Si considera il problema di determinare il flusso stazionario generato da un corpo rigido semisommerso in un fluido pesante, non viscoso e incomprimibile, che avanza con moto rettilineo uniforme sulla...
La teoria del micromagnetismo descrive lo stato locale di magnetizzazione di un solido ferromagnetico attraverso un campo vettoriale di lunghezza unitaria. Le configurazioni di equilibrio sono ottenut...
