17 citations · 43 across the 41 of their papers we have counts for
41 papers
A N-body problem with weak force potential through Hamilton-Jacobi equation approach
Putian Yang, Shiqing Zhang
This paper we consider for the N-body problem with potential 1/rα (0 < α < 1) the existence of hyperbolic motions for any prescribed limit shape and any given initial configuration…
Stacked central configurations with a homogeneous potential in
Yangshanshan Liu, Shiqing Zhang
In this paper we generalize some results in \cite{Yu2021} concerning stacked central configurations. We can deal with the general homogeneous potential (containing the vortex…
On the convergence and applications of the inertial-like method for null-point problems
Yan Tang, Shiqing Zhang
In this paper, we propose two novel inertial-like algorithms for solving the split common null point problem (SCNPP) with respect to set-valued maximal operators. The features of t…
A Generalized Mountain Pass Lemma with a Closed Subset for Locally Lipschitz Functionals
Fengying Li, Bingying Li, Shiqing Zhang
The classical Mountain Pass Lemma of Ambrosetti-Rabinowitz has been studied, extended and modified in several directions. Notable examples would certainly include the generalizatio…
The central configuration of the planar (+1)-body problem with a regular -polygon
Liang Ding, Jinlong Wei, Shiqing Zhang
For planar (+1)-body (\, 2) problem with a regular -polygon, under the assumption that the (+1)-th body locates at the geometric center of the regular -polygon…
A note on an Counter Example of Dacorogna
Yan Tang, Shiqing Zhang
In this short note,we correct a well-known counter example of the famous book of Dacorogna[2].
Choreography solutions of the -body problem on
Juan Manuel Sánchez-Cerritos, Shiqing Zhang
We try to prove the existence of choreography solutions for the body problem on . For the three-body problem, we show the existence of the 8-shape orbit on .
On the symmetric central configurations for the planar 1+4-body problem
Chunhua Deng, Shiqing Zhang
We study the planar symmetric central configurations of the -body problem where the symmetry axis does not contain any infinitesimal masses. Under certain assumptions we find…
On mountain pass theorem and its application to periodic solutions of some nonlinear discrete systems
Liang Ding, Jinlong Wei, Shiqing Zhang
We obtain a new quantitative deformation lemma, and then gain a new mountain pass theorem. More precisely, the new mountain pass theorem is independent of the functional value on t…
Four-body Central Configurations with Adjacent Equal Masses
Yiyang Deng, Bingyu Li, Shiqing Zhang
For any convex non-collinear central configuration of the planar Newtonian 4-body problem with adjacent equal masses , with equal lengths for the two diagonals…
New Periodic Solutions for Newtonian -Body Problems with Dihedral Group Symmetry and Topological Constraints
Zhiqiang Wang, Shiqing Zhang
In this paper, we prove the existence of a family of new non-collision periodic solutions for the classical Newtonian -body problems. In our assumption, the particle…
A Note on Homoclinic Orbits for Second Order Hamiltonian Systems
Bingyu Li, Fengying Li, Donglun Wu +1
In this paper, we study the existence for the homoclinic orbits for the second order Hamiltonian systems. Under suitable conditions on the potential , we apply the direct method…
Periodic Solutions for -Body-Type Problems
Fengying Li, Shiqing Zhang
We consider non-autonomous -body-type problems with strong force type potentials at the origin and sub-quadratic growth at infinity, and using Ljusternik-Schnirelmann theory, we…
Central Configurations Formed By Two Twisted Regular Polygons
Xiang Yu, Shiqing Zhang
In this paper, we study the necessary conditions and sufficient conditions for the central configurations formed by two twisted regular polygons (one N-regular polygon and one L-re…
Generalized Mountain Pass Lemma Related with a Closed Subset and Locally Lipschitz Functionals
Fengying Li, Bingyu Li, Shiqing Zhang
The classical Mountain Pass Lemma of Ambrosetti-Rabinowitz has been studied, extended and modified in several directions, notable examples would certainly include the generalizatio…
Some Applications of Generalized Mountain Pass Lemma
Fengying Li, Bingyu Li, Shiqing Zhang
The Ghoussoub-Preiss's generalized Mountain Pass Lemma with Cerami-Palais-Smale type condition is a generalization of classical MPL of Ambrosetti-Rabinowitz, we apply it to study t…
New Periodic Solutions for Second Order Hamiltonian Systems with Local Lipschitz Potentials
Li Bingyu, Li Fengying, Zhang Shiqing
Firstly,we generalize the classical Palais-Smale-Cerami condition for functional to the local Lipschitz case,then generalize the famous Benci-Rabinowitz's and Rabinowitz's Sa…
New Quantitative Deformation Lemma and New Mountain Pass Theorem
Liang Ding, Fode Zhang, Shiqing Zhang
In this paper, we obtain a new quantitative deformation Lemma so that we can obtain more critical points, especially for supinf critical value , is a new criti…
Action Minimizing Solutions of The One-Dimensional -Body Problem With Equal Masses
Xiang Yu, Shiqing Zhang
When we use variational methods to study the Newtonian -body problem, the main problem is how to avoid collisions. C.Marchal got a remarkable result, that is, a path minimizing…
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…