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PDF(432 KB)
PDF(432 KB)
广义山路引理的一些应用
Some Applications of Generalized Mountain Pass Lemma
具有（CPS）型条件的Ghoussoub—Preiss广义山路引理是经典的Ambrosetti—Rabinowitz山路引理的一个推广，本文将应用它来研究给定能量的具有对称性或非对称性势能的二阶哈密尔顿系统周期解的存在性.
The Ghoussoub-Preiss's generalized mountain-pass lemma with (CPS) 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.
二阶哈密尔顿系统 / 周期解 / Ghoussoub-Preiss广义山路引理 / 闭子集上某水平的(CPS)条件 {{custom_keyword}} /
second order Hamiltonian systems / periodic solutions / Ghoussoub-Preiss's generalized mountain-pass lemma / (CPS) condition at some levels for a closed subset {{custom_keyword}} /
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国家自然科学基金资助项目（11671278，11701463）
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