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math-ph2017★ 2 cited
A generalized Sitnikov problem
Gastón Beltritti, Fernando Mazzone, Martina Oviedo
In this paper we address a -body gravitational problem governed by the Newton's laws, where primary bodies orbit on a plane and an additional massless particle moves o…
math.CA2017
Periodic solutions of Euler-Lagrange equations in an anisotropic Orlicz-Sobolev space setting
Fernando D. Mazzone, Sonia Acinas
In this paper we consider the problem of finding periodic solutions of certain Euler-Lagrange equations, which include, among others, equations involving the -Laplace and, more…