| Critical Point Theorems and Applications to Differential Equations |
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| 作者姓名： | A.R.ELAMROUSS |
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| 作者单位： | UniversityMohamedI,FacultyofSciences,DepartmentofMathematics,Oujda,Morocco |
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| 摘 要： | This paper contains a generalization of the well-known Palais-Smale and Cerami compactness conditions. The compactness condition introduced is used to prove some general existence theorems for critical points. Some applications are given to differential equations.
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| 关 键 词： | 临界点 半线性椭圆边值问题 汗密尔顿系统 共振 |
| 收稿时间： | 7 August 2002 |
Critical Point Theorems and Applications to Differential Equations |
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| A.R.ELAMROUSS.Critical Point Theorems and Applications to Differential Equations[J].Acta Mathematica Sinica,2005,21(1):129-142. |
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| Authors: | A R El Amrouss |
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| Institution: | (1) University Mohamed I, Faculty of Sciences, Department of Mathematics, Oujda, Morocco |
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| Abstract: | This paper contains a generalization of the well–known Palais–Smale and Cerami compactness
conditions. The compactness condition introduced is used to prove some general existence
theorems for critical points. Some applications are given to differential equations. |
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| Keywords: | Critical point theory Semilinear elliptic boundary values problems Hamiltonian systems Resonance |
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