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20152026
most citedPeriodic solutions of a perturbed Kepler problem in the plane: from existence to stability

9 citations · 18 across the 17 of their papers we have counts for

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Showing 2019Show all

6 papers · 1 filter

math.AP2019

Pairs of positive radial solutions for a Minkowski-curvature Neumann problem with indefinite weight

Alberto Boscaggin, Guglielmo Feltrin

We prove the existence of a pair of positive radial solutions for the Neumann boundary value problem \begin{equation*} \begin{cases} \, \mathrm{div}\,\Biggl{(} \dfrac{\nabla u}{\sq…

math.AP2019

Multiplicity of solutions for the Minkowski-curvature equation via shooting method

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris

In this paper we prove the existence and the multiplicity of radial positive oscillatory solutions for a nonlinear problem governed by the mean curvature operator in the Lorentz-Mi…

math.CA2019

On the minimality of Keplerian arcs with fixed negative energy

Vivina Barutello, Alberto Boscaggin, Walter Dambrosio

We revisit a classical result by Jacobi on the local minimality, as critical points of the corresponding energy functional, of fixed-energy solutions of the Kepler equation joining…

math.CA2019

High multiplicity and chaos for an indefinite problem arising from genetic models

Alberto Boscaggin, Guglielmo Feltrin, Elisa Sovrano

We deal with the periodic boundary value problem associated with the parameter-dependent second-order nonlinear differential equation \begin{equation*} u'' + cu' + \bigr{(} λa^{+}(…

math.CA2019

Parabolic orbits in Celestial Mechanics: a functional-analytic approach

Alberto Boscaggin, Walter Dambrosio, Guglielmo Feltrin +1

We prove the existence of half-entire parabolic solutions, asymptotic to a prescribed central configuration, for the equation \begin{equation*} \ddot{x} = \nabla U(x) + \nabla W(t,…

math.DS2019

Periodic solutions to a forced Kepler problem in the plane

A. Boscaggin, W. Dambrosio, D. Papini

Given a smooth function , -periodic in the first variable and satisfying for some as , we…