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
22 papers · 2 filters
On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D
Vladimir Georgiev, Chunhua Li
We consider the scattering problem for the nonlinear Schrödinger equation with a potential in two space dimensions. Appropriate resolvent estimates are proved and applied to estima…
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case
Alessandro Palmieri, Hiroyuki Takamura
In this paper we consider the blow-up for solutions to a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case. After introducing suit…
Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities
Alessandro Palmieri, Hiroyuki Takamura
In this work we study the blow-up of solutions of a weakly coupled system of damped semilinear wave equations in the scattering case with power nonlinearities. We apply an iteratio…
A note on a conjecture for the critical curve of a weakly coupled system of semilinear wave equations with scale-invariant lower order terms
Alessandro Palmieri
In this note two blow-up results are proved for a weakly coupled system of semilinear wave equations with distinct scale-invariant lower order terms both in the subcritical case an…
Dissociating limit in Density Functional Theory with Coulomb optimal transport cost
Guy Bouchitté, Giuseppe Buttazzo, Thierry Champion +1
In the framework of Density Functional Theory with Strongly Correlated Electrons we consider the so called bond dissociating limit for the energy of an aggregate of atoms. We show…
Self-similar solutions to the derivative nonlinear Schrödinger equation
Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa
A class of self-similar solutions to the derivative nonlinear Schrödinger equations is studied. Especially, the asymptotics of profile functions are shown to posses a logarithmic p…
Emergence of non-trivial minimizers for the three-dimensional Ohta-Kawasaki energy
Hans Knüpfer, Cyrill Muratov, Matteo Novaga
This paper is concerned with the diffuse interface Ohta-Kawasaki energy in three space dimensions, in a periodic setting, in the parameter regime corresponding to the onset of non-…
On the Plateau-Douglas problem for the Willmore energy of surfaces with planar boundary curves
Marco Pozzetta
For a smooth closed embedded planar curve , we consider the minimization problem of the Willmore energy among immersed surfaces of a given genus having the c…
Transport of gaussian measures by the flow of the nonlinear Schrödinger equation
F. Planchon, N. Tzvetkov, N. Visciglia
We prove a new smoothing type property for solutions of the 1d quintic Schrödinger equation. As a consequence, we prove that a family of natural gaussian measures are quasi-invaria…
Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part
Wenhui Chen, Alessandro Palmieri
In this work we determine the critical exponent for a weakly coupled system of semilinear wave equations with distinct scale-invariant lower order terms, when these terms make both…
On Traveling Solitary Waves and Absence of Small Data Scattering for Nonlinear Half-Wave Equations
Jacopo Bellazzini, Vladimir Georgiev, Enno Lenzmann +1
We consider nonlinear half-wave equations with focusing power-type nonlinearity $$ i \pt_t u = \sqrt{-Δ} \, u - |u|^{p-1} u, \quad \mbox{with $(t,x) \in \R \times \R^d$} $$ with ex…
Fatigue effects in elastic materials with variational damage models: A vanishing viscosity approach
Roberto Alessi, Vito Crismale, Gianluca Orlando
We study the existence of quasistatic evolutions for a family of gradient damage models which take into account fatigue, that is the process of weakening in a material due to repea…
-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter
Lucia De Luca, Matteo Novaga, Marcello Ponsiglione
We consider low energy configurations for the Heitmann-Radin sticky discs functional, in the limit of diverging number of discs. More precisely, we renormalize the Heitmann-Radin p…
Traveling waves for the quartic focusing Half Wave equation in one space dimension
Jacopo Bellazzini, Vladimir Georgiev, Nicola Visciglia
We consider the quartic focusing Half Wave equation (HW) in one space dimension. We show first that that there exist traveling wave solutions with arbitrary small $H^{\frac 12}(\R)…
Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains
Daniele Bartolucci, Aleks Jevnikar, Chang-Shou Lin
The aim of this paper is to complete the program initiated in [50], [23] and then carried out by several authors concerning non-degeneracy and uniqueness of solutions to mean field…
Local uniqueness of -bubbling sequences for the Gel'fand equation
Daniele Bartolucci, Aleks Jevnikar, Youngae Lee +1
We consider the Gel'fand problem, $$ \begin{cases} Δw_{\varepsilon}+\varepsilon^2 h e^{w_{\varepsilon}}=0\quad&\mbox{in}\quadΩ, w_{\varepsilon}=0\quad&\mbox{on}\quad\partialΩ, \end…
Existence and uniqueness of ground states for - Choquard model in 3D
Vladimir Georgiev, Mirko Tarulli, George Venkov
We study the -Choquard equation in 3-dimensional case and establish existence and uniqueness of ground states for the corresponding Weinstein functional. For proving the uniquen…
Zero resonances for localised potentials
Vladimir Georgiev, Jens Wirth
This paper considers Hamiltonians with localised potentials and gives a variational characterisation of resonant coupling parameters, which allow to provide estimates for the first…
A singular Sphere Covering Inequality: uniqueness and symmetry of solutions to singular Liouville-type equations
Daniele Bartolucci, Changfeng Gui, Aleks Jevnikar +1
We derive a singular version of the Sphere Covering Inequality which was recently introduced in [42], suitable for treating singular Liouville-type problems with superharmonic weig…
On the asymptotic behaviour of nonlocal perimeters
Judith Berendsen, Valerio Pagliari
We study a class of integral functionals known as nonlocal perimeters, which, intuitively, express a weighted interaction between a set and its complement. The weight is provided b…
On critical points of the relative fractional perimeter
Andrea Malchiodi, Matteo Novaga, Dayana Pagliardini
We study the localization of sets with constant nonlocal mean curvature and prescribed small volume in a bounded open set with smooth boundary, proving that they are {\em sufficien…
On the Reynolds time-averaged equations and the long-time behavior of Leray-Hopf weak solutions, with applications to ensemble averages
Luigi C. Berselli, Roger Lewandowski
We consider the three dimensional incompressible Navier-Stokes equations with non stationary source terms f chosen in a suitable space. We prove the existence of Leray-Hopf weak so…