17 citations · 43 across the 41 of their papers we have counts for
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New Periodic Solutions for Some Planar -Body Problems with Newtonian Potentials
Pengfei Yuan, Shiqing Zhang
For some planar Newtonian -body problems, we use variational minimization methods to prove the existence of new periodic solutions satisfying that bodies chase each other…
Saari's Conjecture for Elliptical Type -Body Problem and An Application
Xiang Yu, Shiqing Zhang
By using an arithmetic fact, we will firstly prove Saari's conjecture in a particular case, which is called the Elliptical Type N-Body Problem, and then we apply it to prove that t…
Notes on a Theorem of Benci-Gluck-Ziller-Hayashi
Fengying Li, Shiqing Zhang
We use constrained variational minimizing methods to study the existence of periodic solutions with a prescribed energy for a class of second order Hamiltonian systems with a …
Periodic Solutions of Non-Autonomous Second Order Hamiltonian Systems
Fengying Li, Shiqing Zhang, Xiaoxiao Zhao
We try to generalize a result of M. Willem on forced periodic oscillations which required the assumption that the forced potential is periodic on spatial variables. In this paper,…
Saari's Conjecture and Variational Minimal Solutions for -Body Problems
Yu Xiang, Zhang Shiqing
In this paper, we will prove Saari's conjecture in a particular case by using a arithmetic fact, and then, apply it to prove that for any given positive masses, the variational min…
Periodic Solutions for Circular Restricted 4-body Problems with Newtonian Potentials
Xiaoxiao Zhao, Shiqing Zhang
We study the existence of non-collision periodic solutions with Newtonian potentials for the following planar restricted 4-body problems: Assume that the given positive masses $m_{…