510 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR170 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT167 papers
- University of BolognaIT163 papers
- Sapienza University of RomeIT160 papers
- Nagoya UniversityJP159 papers
- University College LondonGB159 papers
- University of BernCH159 papers
- European Organization for Nuclear ResearchCH158 papers
- Stockholm UniversitySE158 papers
- University of PisaIT158 papers
- Humboldt-Universität zu BerlinDE157 papers
- Johannes Gutenberg University MainzDE157 papers
35 papers · 1 filter
Monotonicity of the Laplace Transform for Tomography in Dissipative Systems
Antonello Tamburrino, Antonio Corbo Esposito, Gianpaolo Piscitelli
This paper addresses the problem of tomography for the interior of dissipative materials, with a focus on Magnetic Induction Tomography (MIT), a proven technique for imaging the in…
The inverse obstacle problem for nonlinear inclusions
Vincenzo Mottola, Antonio Corbo Esposito, Luisa Faella +3
The Monotonocity Principle (MP), stating a monotonic relationship between a material property and a proper corresponding boundary operator, is attracting great interest in the fiel…
A sharp bound for the first Robin-Dirichlet eigenvalue
Nunzia Gavitone, Gianpaolo Piscitelli
In this paper, we study the first eigenvalue of the Laplacian on doubly connected domains when Robin and Dirichlet conditions are imposed on the outer and the inner part of the bou…
On the second-order regularity of solutions to widely singular or degenerate elliptic equations
Pasquale Ambrosio, Antonio Giuseppe Grimaldi, Antonia Passarelli di Napoli
We consider local weak solutions to PDEs of the type \[ -\,\mathrm{div}\left((\vert Du\vert-λ)_{+}^{p-1}\frac{Du}{\vert Du\vert}\right)=f\,\,\,\,\,\,\,\text{in}\,\,Ω, \] where $1<p…
Symmetrization results for general nonlocal linear ellipitic and parabolic problems
Vincenzo Ferone, Gianpaolo Piscitelli, Bruno Volzone
We establish a Talenti-type symmetrization result in the form of mass concentration (i.e. integral comparison) for very general linear nonlocal elliptic problems, equipped with hom…
Piecewise nonlinear materials and Monotonicity Principle
Antonio Corbo Esposito, Luisa Faella, Vincenzo Mottola +3
This paper is focused on the Monotonicity Principle (MP) for nonlinear materials with piecewise growth exponent. This results are relevant because enables the use of a fast imaging…
A stability result for the first Robin-Neumann eigenvalue: A double perturbation approach
Simone Cito, Gloria Paoli, Gianpaolo Piscitelli
Let , , where and are two open, bounded and convex sets such that and let be a given…
On the first Robin eigenvalue of the Finsler -Laplace operator as
Rosa Barbato, Francesco Della Pietra, Gianpaolo Piscitelli
Let be a bounded, connected, sufficiently smooth open set, and . In this paper, we study the -convergence, as , of the functional \[ J…
Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators
Francesco Della Pietra, Gianpaolo Piscitelli
The aim of this paper is to obtain optimal estimates for the first Robin eigenvalue of the anisotropic -Laplace operator, namely: \begin{equation*} λ_1(β,Ω)=\min_{ψ\in W^{1,p}(Ω…
Anisotropic p-Laplacian Evolution of Fast Diffusion type
Filomena Feo, Juan Luis Vazquez, Bruno Volzone
We study an anisotropic, possibly non-homogeneous version of the evolution -Laplacian equation when fast diffusion holds in all directions. We develop the basic theory and prove…
A complete scenario on nodal radial solutions to the Brezis Nirenberg problem in low dimensions
Annalisa Amadori, Francesca Gladiali, Massimo Grossi +2
In this paper we consider nodal radial solutions of the problem where $2^*=\frac{2N}{N…
Symmetrization for fractional elliptic problems: a direct approach
Vincenzo Ferone, Bruno Volzone
We provide new direct methods to establish symmetrization results in the form of mass concentration (i.e., integral) comparison for fractional elliptic equations of the type $(-Δ)^…
Uniqueness of entire ground states for the fractional plasma problem
Hardy Chan, María del Mar González, Yanghong Huang +2
We establish uniqueness of vanishing radially decreasing entire solutions, which we call ground states, to some semilinear fractional elliptic equations. In particular, we treat th…
Regularity results for solutions to obstacle problems with Sobolev coeffcients
Michele Caselli, Andrea Gentile, Raffaella Giova
We establish the higher differentiability of solutions to a class of obstacle problems for integral functionals where the convex integrand f satisfies p-growth conditions with resp…
On the asymptotically linear Hénon problem
Anna Lisa Amadori
In this paper we consider the Hénon problem in the ball with Dirichlet boundary conditions. We study the asymptotic profile of radial solutions and then deduce the exact computatio…
On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE's, Part II
Anna Lisa Amadori, Francesca Gladiali
By using a characterization of the Morse index and the degeneracy in terms of a singular one dimensional eigenvalue problem given in a previous paper, we give a lower bound for the…
The Hénon problem with large exponent in the disc
Anna Lisa Amadori, Francesca Gladiali
In this paper we consider the Hénon problem in the unit disc with Dirichlet boundary conditions. We study the asymptotic profile of least energy and nodal least energy radial solut…
Asymptotic profile and Morse index of nodal radial solutions to the Hénon problem
Anna Lisa Amadori, Francesca Gladiali
We compute the Morse index of nodal radial solutions to the Hénon problem \[\left\{\begin{array}{ll} -Δu = |x|^α|u|^{p-1} u \qquad & \text{ in } B, \newline u= 0 & \text{ on } \par…
Long-time asymptotics for nonlocal porous medium equation with absorption or convection
Filomena Feo, Yanghong Huang, Bruno Volzone
In this paper, the long-time asymptotic behaviours of nonlocal porous medium equations with absorption or convection are studied. In the parameter regimes when the nonlocal diffusi…
Uniqueness for Neumann problems for nonlinear elliptic equations
Maria Francesca Betta, Olivier Guibé, Anna Mercaldo
In the present paper we prove uniqueness results for solutions to a class of Neumann boundary value problems whose prototype is --div((1 + |u| 2) (p--2)/2 u) -- div…
Oscillating solutions for nonlinear Helmholtz Equations
Rainer Mandel, Eugenio Montefusco, Benedetta Pellacci
Existence results for radially symmetric oscillating solutions for a class of nonlinear autonomous Helmholtz equations are given and their exact asymptotic behavior at infinity is…
The fractional nonlocal Ornstein--Uhlenbeck equation, Gaussian symmetrization and regularity
F. Feo, P. R. Stinga, B. Volzone
For , we consider the Dirichlet problem for the fractional nonlocal Ornstein--Uhlenbeck equation $$\begin{cases} (-Δ+x\cdot\nabla)^su=f&\hbox{in}~Ω\\ u=0&\hbox{on}~\partialΩ…
Nonradial sign changing solutions to Lane Emden equation
Anna Lisa Amadori, Francesca Gladiali
In this paper we prove the existence of continua of nonradial solutions for the Lane-Emden equation. In a first result we show that there are infinitely many global continua detach…
Positive solutions for asymptotically linear problems in exterior domains
Liliane A. Maia, Benedetta Pellacci
The existence of a positive solution for a class of asymptotically lin- ear problems in exterior domains is established via a linking argument on the Nehari manifold and by means o…