We consider travelling waves in spatially recurrent diffusive media, including the almost periodic and quasi-periodic ones as special cases. We first define the notion of travelling waves under such h...
I will present some recent joint work with C. Arezzo and M. Singer concerning the existence of extremal metrics in Kahler geometry. The problem reduces to some perturbation result for some fouth order...
I will discuss various modes of degeneration of differential operators and associated Lie algebras of vector fields and indicate a systematic approach to uniform invertibility under appropriate ellipt...
Introdurremo un sistema di due equazioni ellittiche debolmente accoppiate, proveniente da alcuni modelli dell’ottica quantistica, contenente un parametro piccolo. Discuteremo dell’esistenza e di alcun...
Si discutono due equazioni di evoluzione in dimensione uno ottenute come sistema gradiente di due funzionali non convessi, il funzionale di Perona-Malik e il funzionale a doppio pozzo. A causa della n...
We present sharp decay rates as time tends to infinity for solutions to wave equations in domains with infinite boundaries like infinite waveguides, as well as the global well-posedness and the asympt...
We study the existence and multiplicity of solutions for a class of coupled semilinear elliptic systems in R n where none of the potentials are coercive. The main goal is to consider systems where the...
Lo studio dell’equazione iconale complessa e motivato dall’interesse per i cosiddetti raggi evanescenti, che, in ottica geometrica, aiutano a descrivere fenomeni di propagazione luminosa oltre le caus...
