17 citations · 43 across the 41 of their papers we have counts for
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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…