424 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 NapoliIT340 papers
- University of Naples Federico IIIT276 papers
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di FrascatiIT97 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PerugiaIT92 papers
- University of BolognaIT91 papers
- Institut de Physique des 2 Infinis de LyonFR89 papers
- European Organization for Nuclear ResearchCH88 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PisaIT87 papers
- Johns Hopkins UniversityUS87 papers
- University of TurinIT87 papers
- Ruđer Bošković InstituteHR86 papers
- Sapienza University of RomeIT86 papers
13 papers · 1 filter
An improved version of a spectral inequality by Payne
Paolo Acampora, Emanuele Cristoforoni, Carlo Nitsch +1
A celebrated inequality by Payne relates the first eigenvalue of the Dirichlet Laplacian to the first eigenvalue of the buckling problem. Motivated by the goal of establishing a qu…
Normalized NLS ground states on a double plane hybrid
Filippo Boni, Raffaele Carlone, Ilenia Di Giorgio
We investigate the existence and the properties of normalized ground states of a nonlinear Schrödinger equation on a quantum hybrid formed by two planes connected at a point. The n…
A spectral isoperimetric inequality on the n-sphere for the Robin-Laplacian with negative boundary parameter
Paolo Acampora, Antonio Celentano, Emanuele Cristoforoni +2
For every given , we study the problem of maximizing the first Robin eigenvalue of the Laplacian among convex (not necessarily smooth) sets w…
The search for NLS ground states on a hybrid domain: Motivations, methods, and results
Riccardo Adami, Filippo Boni, Raffaele Carlone +1
We discuss the problem of establishing the existence of the Ground States for the subcritical focusing Nonlinear Schrödinger energy on a domain made of a line and a plane intersect…
On the asymptotic behavior of a diffraction problem with a thin layer
Paolo Acampora, Emanuele Cristoforoni
We investigate the behavior of the solution to an elliptic diffraction problem in the union of a smooth set and a thin layer locally described by , where …
Estimates on the Neumann and Steklov principal eigenvalues of collapsing domains
Paolo Acampora, Vincenzo Amato, Emanuele Cristoforoni
We investigate the relationship between the Neumann and Steklov principal eigenvalues emerging from the study of collapsing convex domains in . Such a relationship al…
On the optimal shape of a thin insulating layer
Paolo Acampora, Emanuele Cristoforoni, Carlo Nitsch +1
We are interested in the thermal insulation of a bounded open set surrounded by a set whose thickness is locally described by , where is a non-negative funct…
Two dimensional NLS ground states with attractive Coulomb potential and point interaction
Filippo Boni, Matteo Gallone
We study the existence and the properties of ground states at fixed mass for a focusing nonlinear Schrödinger equation in dimension two with a point interaction, an attractive Coul…
On the gradient rearrangement of functions
Vincenzo Amato, Andrea Gentile, Carlo Nitsch +1
In this paper, we introduce a symmetrization technique for the gradient of a $\BV$ function, which separates its absolutely continuous part from its singular part (sum of the jump…
An isoperimetric result for an energy related to the -capacity
Paolo Acampora, Emanuele Cristoforoni
In this paper, we generalize the notion of relative -capacity of with respect to , by replacing the Dirichlet boundary condition with a Robin one. We show that, under vol…
A free boundary problem for the p-Laplacian with nonlinear boundary conditions
Paolo Acampora, Emanuele Cristoforoni
We study a nonlinear generalization of a free boundary problem that arises in the context of thermal insulation. We consider two open sets , and we search for an opti…
A free boundary problem in thermal insulation with a prescribed heat source
Paolo Acampora, Emanuele Cristoforoni, Carlo Nitsch +1
We study the thermal insulation of a bounded body , under a prescribed heat source , via a bulk layer of insulating material. We consider a model of heat…
Comparison results for solutions to p-Laplace equations with Robin boundary conditions
Vincenzo Amato, Andrea Gentile, Alba Lia Masiello
In the last decades comparison results of Talenti type for Elliptic Problems with Dirichlet boundary conditions have been widely investigated. In this paper, we generalize the resu…