4.1k 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 BariIT2.3k papers
- University of Maryland, College ParkUS1.5k papers
- Massachusetts Institute of TechnologyUS1.4k papers
- Rutherford Appleton LaboratoryGB1.4k papers
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di FrascatiIT1.4k papers
- University of PaduaIT1.4k papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT1.4k papers
- Centre National de la Recherche ScientifiqueFR1.4k papers
- University of PisaIT1.3k papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR1.3k papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PisaIT1.3k papers
- Istituto Nazionale di Fisica Nucleare, Sezione di GenovaIT1.3k papers
68 papers · 1 filter
A note on the first Steklov eigenvalue on planar domains
Azahara DelaTorre, Gabriele Mancini, Angela Pistoia +1
We consider the first positive Steklov eigenvalue on planar domains. First, we provide an example of a planar domain for which a first eigenfunction has a closed nodal line. Second…
Normalized ground states for NLS equations with mass critical nonlinearities
Silvia Cingolani, Marco Gallo, Norihisa Ikoma +1
We study normalized solutions to nonlinear Schrödinger equations $$ -Δu + μu = g(u)\quad \hbox{in}\ \mathbb{R}^N, \qquad \frac{1}{2}\…
Morse homology for a class of elliptic partial differential equations
L. Asselle, S. Cingolani, M. Starostka
In this paper we show that a notion of non-degeneracy which allows to develop Morse theory is generically satisfied for a large class of -functionals defined on Banach spaces.…
Normalized solutions for Schrödinger-Bopp-Podolsky systems in bounded domains
Gaetano Siciliano
We consider an elliptic system of Schrödinger-Bopp-Podolsky type in a bounded and smooth domain of R3 with a non constant coupling factor. This kind of system has been introduced i…
Existence results for a borderline case of a class of p-Laplacian problems
Anna Maria Candela, Kanishka Perera, Addolorata Salvatore
The aim of this paper is investigating the existence of at least one nontrivial bounded solution of the new asymptotically ``linear'' problem \[ \left\{ \begin{array}{ll} - {\rm di…
On the equivalence between an Onofri-type inequality by Del Pino-Dolbeault and the sharp logarithmic Moser-Trudinger inequality
Natalino Borgia, Silvia Cingolani, Gabriele Mancini
In this paper we consider the -dimensional Euclidean Onofri inequality proved by del Pino and Dolbeault for smooth compactly supported functions in , . W…
Existence and concentration of semiclassical bound states for a quasilinear Schrödinger-Poisson system
Gustavo de Paula Ramos, Gaetano Siciliano
In the paper we consider the following quasilinear Schrödinger--Poisson system in the whole space $$ \begin{cases} - \varepsilon^2 Δu + (V + ϕ) u = u |u|^{p - 1} \n…
Sharp Lp-Lq estimates for evolution equations with damped oscillations
Marcello D'Abbicco, Marcelo Rempel Ebert
In this paper we derive sharp estimates, (including endpoint estimates as and ) for dissipative wave-type equations, un…
Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities
Silvia Cingolani, Marco Gallo, Kazunaga Tanaka
In this paper we study the following nonlinear fractional Choquard-Pekar equation \begin{equation}\label{eq_abstract} (-Δ)^s u + μu =(I_α*F(u)) F'(u) \quad \hbox{in}\ \mathbb{R}^N,…
The influence of viscous dissipations on the nonlinear acoustic wave equation with second sound
Wenhui Chen, Yan Liu, Alessandro Palmieri +1
We study the effect of a viscous dissipation on the Cauchy problem for a Cattaneo-type model in nonlinear acoustics, established by applying the Lighthill approximation for the vis…
Multiple solutions for coupled gradient-type quasilinear elliptic systems with supercritical growth
Anna Maria Candela, Caterina Sportelli
In this paper we consider the following coupled gradient-type quasilinear elliptic system \begin{equation*} \left\{ \begin{array}{ll} - {\rm div} ( a(x, u, \nabla u) ) + A_t (x, u,…
Bounded solutions for quasilinear modified Schrödinger equations
Anna Maria Candela, Addolorata Salvatore, Caterina Sportelli
In this paper we establish a new existence result for the quasilinear elliptic problem \[ -{\rm div}(A(x,u)|\nabla u|^{p-2}\nabla u) +\frac1p A_t(x,u)|\nabla u|^p + V(x)|u|^{p-2} u…
Existence and multiplicity results for a class of coupled quasilinear elliptic systems of gradient type
Anna Maria Candela, Addolorata Salvatore, Caterina Sportelli
The aim of this paper is investigating the existence of one or more weak solutions of the coupled quasilinear elliptic system of gradient type \[ (P)\qquad \left\{ \begin{array}{ll…
On a semilinear wave equation in anti-de Sitter spacetime: the critical case
Alessandro Palmieri, Hiroyuki Takamura
In the present paper we prove the blow-up in finite time for local solutions of a semilinear Cauchy problem associated with a wave equation in anti-de Sitter spacetime in the criti…
A note on blow-up results for semilinear wave equations in de Sitter and anti-de Sitter spacetimes
Alessandro Palmieri, Hiroyuki Takamura
In this work we derive some blow-up results for semilinear wave equations both in de Sitter and anti-de Sitter spacetimes. By requiring suitable conditions on a time-dependent fact…
A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type
Alessandro Palmieri, Hiroyuki Takamura
In this paper, we consider a weakly coupled system of a wave and damped Klein-Gordon equation with nonlinearities of derivative type. We prove a blow-up result for the Cauchy probl…
The Cauchy Problem for properly hyperbolic equations in one space variable
Sergio Spagnolo Giovanni Taglialatela
In this paper we consider the Cauchy problem for higher order weakly hyperbolic equations. We assume that the principal symbol depends only on one space variable and the characteri…
On fractional Schrödinger equations with Hartree type nonlinearities
Silvia Cingolani, Marco Gallo, Kazunaga Tanaka
Goal of this paper is to study the following doubly nonlocal equation \begin{equation}\label{eq_abstract} (- Δ)^s u + μu = (I_α*F(u))F'(u) \quad \hbox{in } \tag{P} \e…
On the the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equation with power nonlinearity
Alessandro Palmieri
In this note, we derive a blow-up result for a semilinear generalized Tricomi equation with damping and mass terms having time-dependent coefficients. We consider these coefficient…
Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation
Silvia Cingolani, Marco Gallo, Kazunaga Tanaka
We study existence of solutions for the fractional problem \begin{equation*} (P_m) \quad \left \{ \begin{aligned} (-Δ)^{s} u + μu &=g(u) & \; \text{in }, \cr \int_{\m…
General -shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation
Biagio Cassano, Vladimir Lotoreichik, Albert Mas +1
In this work we consider the two-dimensional Dirac operator with general local singular interactions supported on a closed curve. A systematic study of the interaction is performed…
Multiplicity and concentration results for local and fractional NLS equations with critical growth
Marco Gallo
Goal of this paper is to study positive semiclassical solutions of the nonlinear Schrödinger equation where…
On the fractional NLS equation and the effects of the potential well's topology
Silvia Cingolani, Marco Gallo
In this paper we consider the fractional nonlinear Schrödinger equation where , , $V \in…
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity
Wenhui Chen, Sandra Lucente, Alessandro Palmieri
In the present paper, we investigate the blow-up dynamics for local solutions to the semilinear generalized Tricomi equation with combined nonlinearity. As a result, we enlarge the…