14.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Istituto Nazionale di Fisica Nucleare, Sezione di PisaIT5.2k papers
- Centre National de la Recherche ScientifiqueFR3.2k papers
- Sapienza University of RomeIT3.1k papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT3k papers
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di FrascatiIT2.8k papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR2.7k papers
- The Ohio State UniversityUS2.7k papers
- University of BolognaIT2.7k papers
- Rutherford Appleton LaboratoryGB2.7k papers
- Istituto Nazionale di Fisica Nucleare, Sezione di GenovaIT2.6k papers
- University of Wisconsin–MadisonUS2.6k papers
- University of GenoaIT2.5k papers
12 papers · 2 filters
On the Existence of the Fundamental Eigenvalue of an Elliptic Problem in R^N
Jacopo Bellazzini, Vieri Benci, Marco G. Ghimenti +1
We study an eigenvalue problem for functions in R^N and we find sufficient conditions for the existence of the fundamental eigenvalue. This result can be applied to the study of th…
Semiclassical limit for the nonlinear Klein Gordon equation in bounded domains
Marco G. Ghimenti, Carlo R. Grisanti
We are interested to the existence of standing waves for the nonlinear Klein Gordon equation ε^2{\box}ψ + W'(ψ) = 0 in a bounded domain D. The main result of this paper is that, un…
Morse Theory for Geodesics in Conical Manifolds
Marco G. Ghimenti
The aim of this paper is to extend the Morse theory for geodesics to the conical manifolds. We define these manifolds as submanifolds of with a finite number of conical sing…
The 3-D Inviscid Limit Result under Slip Boundary Conditions. A Negative Answer
H. Beirão da Veiga, F. Crispo
We show that, in general, the solutions to the initial-boundary value problem for the Navier-Stokes equations under a widely adopted Navier-type slip boundary condition do not conv…
Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations
Vladimir Georgiev, Masahito Ohta
We study the instability of standing waves for nonlinear Schrödinger equations. Under a general assumption on nonlinearity, we prove that linear instability implies orbital instabi…
Finite time blow-up for a wave equation with a nonlocal nonlinearity
Ahmad Fino, Mokhtar Kirane, Vladimir Georgiev
In this article, we study the local existence of solutions for a wave equation with a nonlocal in time nonlinearity. Moreover, a blow-up results are proved under some conditions on…
Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential
Vladimir Georgiev, George Venkov
In the present article we study the radial symmetry of minimizers of the energy functional, corresponding to the repulsive Hartree equation in external Coulomb potential. To overco…
Smooth solutions for the dyadic model
David Barbato, Francesco Morandin, Marco Romito
We consider the dyadic model, which is a toy model to test issues of well-posedness and blow-up for the Navier-Stokes and Euler equations. We prove well-posedness of positive solut…
On the existence of maximizers for a family of Restriction Theorems
Luca Fanelli, Luis Vega, Nicola Visciglia
We prove the existence of maximizers for a general family of restrictions operators, up to the end-point. We also provide some counterxamples in the end-point case.
Kirchhoff equations from quasi-analytic to spectral-gap data
Marina Ghisi, Massimo Gobbino
In a celebrated paper (Tokyo J. Math. 1984) K. Nishihara proved global existence for Kirchhoff equations in a special class of initial data which lies in between analytic functions…
Stable standing waves for a class of nonlinear Schroedinger-Poisson equations
Jacopo Bellazzini, Gaetano Siciliano
We prove the existence of orbitally stable standing waves with prescribed -norm for the following Schrödinger-Poisson type equation \label{intro} %{%{ll} iψ_{t}+ Δψ- (|x|^{-1}…
Local existence and uniqueness in the largest critical space for a surface growth model
Dirk Blomker, Marco Romito
We show the existence and uniqueness of solutions (either local or global for small data) for an equation arising in different aspects of surface growth. Following the work of Koch…