17 citations · 84 across the 15 of their papers we have counts for
16 papers
Some remarks about the Morse index for convex Hamiltonians systems
Anna Lisa Amadori
We investigate the (linearized) Morse index of solutions to Hamiltonan systems, with a focus on convex Hamiltonians functions and sign-changing radial solutions. For strongly coupl…
Morse index computation for radial solutions of the {Hé}non problem in the disk
Annalisa Amadori, Francesca De Marchis, Isabella Ianni
We compute the Morse index of any radial solution of the semilinear problem: \begin{equation} \label{problemaAbstract}\tag{P} \left\{ \begin{array}{lr}…
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…
Global bifurcation for the Hénon problem
Anna Lisa Amadori
We prove the existence of nonradial solutions for the Hénon equation in the ball with any given number of nodal zones, for arbitrary values of the exponent . For sign-changing s…
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…
On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE's
Anna Lisa Amadori, Francesca Gladiali
We investigate nodal radial solutions to semilinear problems of type \[\begin{cases}-Δu = f(|x|,u) \qquad & \text{ in } Ω, \newline u= 0 & \text{ on } \partial Ω, \end{cases} \] wh…
A rare mutation model in a spatial heterogeneous environment: the Hawk and Dove game
Anna Lisa Amadori, Roberto Natalini, Davide Palmigiani
We propose a stochastic model in evolutionary game theory where individuals (or subpopulations) can mutate changing their strategies randomly (but rarely) and explore the external…
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…
Nodal solutions for Lane-Emden problems in almost-annular domains
Anna Lisa Amadori, Francesca Gladiali, Massimo Grossi
In this paper we prove an existence result to the problem w…
A nonradial bifurcation result with applications to supercritical problems
Anna Lisa Amadori, Francesca Gladiali
In this paper we consider the problem in , with and . Under some assumptions on we deduce the existence of nonradial solutions which bifurcat…
A non-local rare mutations model for quasispecies and Prisoner's dilemma: numerical assessment of qualitative behaviour
A. L. Amadori, M. Briani, R. Natalini
An integro-differential model for evolutionary dynamics with mutations is investigated by improving the understanding of its behavior using numerical simulations. The proposed nume…
Bifurcation and symmetry breaking for the Hénon equation
Anna Lisa Amadori, Francesca Gladiali
In this paper we consider the Hénon problem in a ball. We prove the existence of (at least) one branch of nonradial solutions that bifurcate from the radial ones and that this bran…
Rare Mutations in Evolutionary Dynamics
Anna Lisa Amadori, Antonella Calzolari, Roberto Natalini +1
In this paper we study the effect of rare mutations, driven by a marked point process, on the evolutionary behavior of a population. We derive a Kolmogorov equation describing the…