| Relative Superlinearity Implies Infinitely Many Solutions to Sturm-Liouville BVPs with Laplacian Type Operators |
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| 引用本文： | Wei Gao GE Wei Ping SUN. Relative Superlinearity Implies Infinitely Many Solutions to Sturm-Liouville BVPs with Laplacian Type Operators[J]. 数学学报(英文版), 2005, 21(5): 1015-1026. DOI: 10.1007/s10114-005-0565-x |
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| 作者姓名： | Wei Gao GE Wei Ping SUN |
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| 作者单位： | Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China |
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| 基金项目： | The project is supported by the National Natural Science Foundation （10371006） |
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| 摘 要： | By the use of continuation theorems and the duality principle it＇s proved that for both homogeneous and nonhomogeneous Sturm-Liouville boundary value problems with Laplacian type operators, relative superlinearity implies the existence of infinitely many solutions under a few weakly added conditions.
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| 关 键 词： | Laplacian算子 周期解 二元法则 边界值 存在性 |
| 收稿时间： | 2002-03-12 |
| 修稿时间： | 2002-03-122002-09-16 |
Relative Superlinearity Implies Infinitely Many Solutions toSturm–Liouville BVPs with Laplacian Type Operators |
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| Wei Gao Ge,Wei Ping Sun. Relative Superlinearity Implies Infinitely Many Solutions toSturm–Liouville BVPs with Laplacian Type Operators[J]. Acta Mathematica Sinica(English Series), 2005, 21(5): 1015-1026. DOI: 10.1007/s10114-005-0565-x |
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| Authors: | Wei Gao Ge Wei Ping Sun |
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| Affiliation: | (1) Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China |
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| Abstract: | By the use of continuation theorems and the duality principle it’s proved that for both homogeneous and nonhomogeneous Sturm–Liouville boundary value problems with Laplacian type operators, relative superlinearity implies the existence of infinitely many solutions under a few weakly added conditions. The project is supported by the National Natural Science Foundation (10371006) |
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| Keywords: | p-Laplacian-like operator periodic solutions degree |
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