1.9k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Istituto di Fotonica e NanotecnologieIT287 papers
- University of MilanIT253 papers
- Centre National de la Recherche ScientifiqueFR237 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di MilanoIT232 papers
- Sapienza University of RomeIT155 papers
- Italian Institute of TechnologyIT125 papers
- University of Milano-BicoccaIT115 papers
- National Research CouncilLK111 papers
- University of GenoaIT102 papers
- University of Rome Tor VergataIT102 papers
- University of BolognaIT101 papers
- University of Naples Federico IIIT97 papers
13 papers · 2 filters
On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate
Elvise Berchio, Davide Buoso, Filippo Gazzola
We consider a partially hinged rectangular plate and its normal modes. There are two families of modes, longitudinal and torsional. We study the variation of the corresponding eige…
Critical Points for Elliptic Equations with Prescribed Boundary Conditions
Giovanni S. Alberti, Guillaume Bal, Michele Di Cristo
This paper concerns the existence of critical points for solutions to second order elliptic equations of the form posed on a bounded domain with pr…
On Coron's problem for weakly coupled elliptic systems
Angela Pistoia, Nicola Soave
We consider the following critical weakly coupled elliptic system \[ \begin{cases} -Δu_i = μ_i |u_i|^{2^*-2}u_i + \sum_{j \neq i} β_{ij} |u_j|^{\frac{2^*}{2}} |u_i|^{\frac{2^*-4}{2…
Propagation and recovery of singularities in the inverse conductivity problem
Allan Greenleaf, Matti Lassas, Matteo Santacesaria +2
The ill-posedness of Calderón's inverse conductivity problem, responsible for the poor spatial resolution of Electrical Impedance Tomography (EIT), has been an impetus for the deve…
The porous medium equation with large initial data on negatively curved Riemannian manifolds
Gabriele Grillo, Matteo Muratori, Fabio Punzo
We show existence and uniqueness of very weak solutions of the Cauchy problem for the porous medium equation on Cartan-Hadamard manifolds satisfying suitable lower bounds on Ricci…
Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds
Dario D. Monticelli, Fabio Punzo, Berardino Sciunzi
We prove nonexistence of nontrivial, possibly sign changing, stable solutions to a class of quasilinear elliptic equations with a potential on Riemannian manifolds, under suitable…
Steady states of elastically-coupled extensible double-beam systems
Filippo Dell'Oro, Claudio Giorgi, Vittorino Pata
Given and , we analyze an abstract version of the nonlinear stationary model in dimensionless form $$\begin{cases} u"" - \Big(β+ \varrho\int_0^1 |u'(s…
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…
Best dispersal strategies in spatially heterogeneous environments: optimization of the principal eigenvalue for indefinite fractional Neumann problems
Benedetta Pellacci, Gianmaria Verzini
We study the positive principal eigenvalue of a weighted problem associated with the Neumann spectral fractional Laplacian. This analysis is related to the investigation of the sur…
A quantitative Riemann-Lebesgue lemma with application to equations with memory
Filippo Dell'Oro, Enrico Laeng, Vittorino Pata
An elementary proof of a quantitative version of the Riemann-Lebesgue lemma for functions supported on the half line is given. Applications to differential models with memory are d…
A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem
Elena Beretta, Andrea Manzoni, Luca Ratti
In this paper we develop a reconstruction algorithm for the solution of an inverse boundary value problem dealing with a semilinear elliptic partial differential equation of intere…
Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods
Matteo Bonforte, Jean Dolbeault, Matteo Muratori +1
This paper is the second part of the study. In Part~I, self-similar solutions of a weighted fast diffusion equation (WFD) were related to optimal functions in a family of subcritic…
Size estimates of an obstacle in a stationary Stokes fluid
E. Beretta, C. Cavaterra, J. H. Ortega +1
In this work we are interested in estimating the size of a cavity D immersed in a bounded domain Ω, contained in R^d, d=2,3, filled with a viscous fluid governed by the Stokes syst…