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arxiv: 1402.5725 · v1 · pith:6OUAEJXBnew · submitted 2014-02-24 · 🧮 math.FA · math.DS

Some Applications of Generalized Mountain Pass Lemma

classification 🧮 math.FA math.DS
keywords generalizedlemmamountainpasssomeambrosetti-rabinowitzapplicationsapply
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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 the existence of the periodic solutions with a given energy for some second order Hamiltonian systems with symmetrical and non-symmetrical potentials.

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