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math.FA2014
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…
math.FA2014
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…
math.FA2014
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…