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65 papers · 1 filter
A general variational principle and some of its applications
Biagio Ricceri
In this paper, given a reflexive real Banach space X and two sequentially weakly lower semicontinuous functionals Phi, Psi on X with Psi strongly continuous and coercive, we are ma…
Some research perspectives in nonlinear functional analysis
Biagio Ricceri
The object of this lecture is to propose a series of conjectures and problems in different fields of analysis. They have been formulated with the aim of introducing some innovative…
Three topological problems about integral functionals on Sobolev spaces
Biagio Ricceri
In this paper, I propose some problems, of topological nature, on the energy functional associated to the Dirichlet problem -Δu = f(x,u) in Omega, u restricted to the boundary of O…
Energetic model of tumor growth
Paolo Castorina, Dario Zappalá
A macroscopic model of the tumor Gompertzian growth is proposed. This approach is based on the energetic balance among the different cell activities, described by methods of statis…
Modulation of dephasing due to a spin-boson environment
E. Paladino, M. Sassetti, G. Falci
We study the reduced dynamics of a spin (qubit) coupled to a spin-boson environment in the case of pure dephasing. We derive formal exact expressions which can be cast in terms of…
Tunnelling times: An elementary introduction
G. Privitera, G. Salesi, V. S. Olkhovsky +1
In this paper we examine critically and in detail some existing definitions for the tunnelling times, namely: the phase-time; the centroid-based times; the Buttiker and Landauer ti…