14 citations · 21 across the 12 of their papers we have counts for
12 papers
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…
Solutions for fourth-order Kirchhoff type elliptic equations involving concave-convex nonlinearities in
Dong-Lun Wu, Fengying Li
In this paper, we show the existence and multiplicity of solutions for the following fourth-order Kirchhoff type elliptic equations \begin{eqnarray*} Δ^{2}u-M(\|\nabla u\|_{2}^{2})…
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…
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…
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,…
Large Essential norm of Toeplitz operators and Hankel operators on the weighted Bergman space
Fengying Li
In this paper, we show that on the weighted Bergman space of the unit disk the essential norm of a noncompact Hankel operator equals its distance to the set of compact Hankel opera…
Nonplanar Periodic Solutions for Spatial Restricted N+1-Body Problems
Fengying Li, Shiqing Zhang, Xiaoxiao Zhao
We use variational minimizing methods to study spatial restricted N+1-body problems with a zero mass moving on the vertical axis of the moving plane for N equal masses. We prove th…
New Periodic Solutions of Singular Hamiltonian Systems with Fixed Energies
Fengying Li, Qingqing Hua, Shiqing Zhang
By using the variational minimizing method with a special constraint and the direct variational minimizing method without constraint, we study second order Hamiltonian systems with…