| HOMOCLINIC ORBITS FOR LAGRANGIAN SYSTEMS |
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| 引用本文： | Wu Shaoping. HOMOCLINIC ORBITS FOR LAGRANGIAN SYSTEMS[J]. 数学年刊B辑(英文版), 1996, 17(2): 245-256 |
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| 作者姓名： | Wu Shaoping |
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| 作者单位： | Wu SHAOPING Departmentof Mathematics，Zhejiang University，Hangzhou，310027，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China，and the Zhejiang Natural Science Foundation. |
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| 摘 要： | The existence of at least two homoclinic orbits for Lagrangian system (LS) is proved, wherethe Lagrangian L(t,x,y) =1/2∑aij(x)yiyj-V(t, x), in which the potential V(t,x) is globallysurperquadratic in x and T-periodic in t. The Concentration-Compactness Lemma and Mini-max argument are used to prove the existences.
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| 关 键 词： | 拉格朗日系统 超二次方程增长性 极小极大论 同宿轨 |
| 收稿时间： | 1993-04-03 |
| 修稿时间： | 1995-03-05 |
HOMOCLINIC ORBITS FOR LAGRANGIAN SYSTEMS |
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| Wu Shaoping. HOMOCLINIC ORBITS FOR LAGRANGIAN SYSTEMS[J]. Chinese Annals of Mathematics,Series B, 1996, 17(2): 245-256 |
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| Authors: | Wu Shaoping |
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| Affiliation: | DepartmentofMathematics,ZhejiangUniversity,Hangzhou,310027,China. |
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| Abstract: | The existence of at least two homoclinic orbits for Lagrangian system (LS) is proved, where the Lagrangian $L(t,x,y)= frac 12 Sigma a_{ij}(x)y_iy_j - V(t,x)$, in which the potential $V(t,x)$ is globally surperquadratic in $x$and $T$-periodic in $t.$ The Concentration-Compactness Lemma and Mini-max argument are used to prove the existences. |
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| Keywords: | Lagrangian systerm Superquadratic growth Concentration-compactness Minimax argument |
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