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
15 papers · 2 filters
On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases
Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa
In this paper, the global well-posedness of semirelativistic equations with a power type nonlinearity on Euclidean spaces is studied. In two dimensional scaling subcritical c…
Linear perturbation of the Yamabe problem on manifolds with boundary
Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia
We build blowing-up solutions for linear perturbation of the Yamabe problem on manifolds with boundary, provided the dimension of the manifold is n>6 and the trace-free part of the…
Double Scattering Channels for NLS in the Energy Space and its Generalization to Higher Dimensions
Luigi Forcella, Nicola Visciglia
We consider a class of NLS perturbed with a steplike potential. We prove that the nonlinear solutions satisfy the double scattering channels in the energy space. The proof is…
Higher order fractional Leibniz rule
Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa
The fractional Leibniz rule is generalized by the Coifman-Meyer estimate. It is shown that the arbitrary redistribution of fractional derivatives for higher order with the correspo…
On the growth of Sobolev norms for NLS on and manifolds
Fabrice Planchon, Nikolay Tzvetkov, Nicola Visciglia
Using suitable modified energies we study higher order Sobolev norms' growth in time for the nonlinear Schrödinger equation (NLS) on a generic or compact manifold. In $2d…
Existence of torsional solitons in a beam model of suspension bridge
Vieri Benci, Donato Fortunato, Filippo Gazzola
This paper studies the existence of solitons, namely stable solitary waves, in a suspension bridge. The bridge is modeled as a degenerate plate, that is, a central beam with cross…
On equilibrium shapes of charged flat drops
Cyrill B. Muratov, Matteo Novaga, Berardo Ruffini
Equilibrium shapes of two-dimensional charged, perfectly conducting liquid drops are governed by a geometric variational problem that involves a perimeter term modeling line tensio…
Existence and Stability of standing waves for supercritical NLS with a Partial Confinement
J. Bellazzini, N. Boussaid, L. Jeanjean +1
We prove the existence of orbitally stable ground states to NLS with a partial confinement together with qualitative and symmetry properties. This result is obtained for nonlineari…
Sobolev-Lorentz spaces in the Euclidean setting and counterexamples
Serban Costea
This paper studies the inclusions between different Sobolev-Lorentz spaces defined on open sets where is an integer, $1<p<\inf…
Open problems concerning the Holder continuity of the direction of vorticity for the Navier-Stokes equations
Hugo Beirao da Veiga
In these notes we consider solutions u to the evolution three dimensional Navier-Stokes equations in the whole space. Set w= curl u, the vorticity of u. Our study concerns mainly t…
Rigidity of critical points for a nonlocal Ohta-Kawasaki energy
Serena Dipierro, Matteo Novaga, Enrico Valdinoci
We investigate the shape of critical points for a free energy consisting of a nonlocal perimeter plus a nonlocal repulsive term. In particular, we prove that a volume-constrained c…
Minimizers of anisotropic perimeters with cylindrical norms
G. Bellettini, M. Novaga, Sh. Yu. Kholmatov
We study various regularity properties of minimizers of the --perimeter, where is a norm. Under suitable assumptions on and on the dimension of the ambient space, we pro…
On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint
Michael Goldman, Matteo Novaga, Berardo Ruffini
We study a variational problem modeling the behavior at equilibrium of charged liquid drops under convexity constraint. After proving well-posedness of the model, we show C 1,1-reg…
Volume constrained minimizers of the fractional perimeter with a potential energy
Annalisa Cesaroni, Matteo Novaga
We consider volume-constrained minimizers of the fractional perimeter with the addition of a potential energy in the form of a volume inte- gral. Such minimizers are solutions of t…
Mean field limit of interacting filaments and vector valued non linear PDEs
Hakima Bessaih, Michele Coghi, Franco Flandoli
Families of interacting curves are considered, with long range, mean field type, interaction. A family of curves defines a 1-current, concentrated on the curves, analog of the…