| 一类高阶拟线性椭圆方程共振问题的可解性 |
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| 引用本文： | 赵青,贾高. 一类高阶拟线性椭圆方程共振问题的可解性[J]. 上海理工大学学报, 2009, 31(1) |
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| 作者姓名： | 赵青 贾高 |
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| 作者单位： | 上海理工大学理学院,上海,200093 |
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| 基金项目： | 上海市教委科研创新项目 |
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| 摘 要： | 研究任意特征值的高阶拟线性椭圆方程共振问题,而非线性项为无界函数,且满足超线性增长条件.引入伪特征值的概念,在推广的Landesman-Lazer条件下,得到上述问题解的存在性定理.
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| 关 键 词： | 拟线性椭圆方程 伪特征值 共振 |
On the solvability of a higher order bf quasilinear elliptic resonance problem |
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| ZHAO Qing,JIA Gao. On the solvability of a higher order bf quasilinear elliptic resonance problem[J]. Journal of University of Shanghai For Science and Technology, 2009, 31(1) |
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| Authors: | ZHAO Qing JIA Gao |
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| Affiliation: | College of Science;University of Shanghai for Science and Technology;Shanghai 200093;China |
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| Abstract: | The resonance problem of the higher order quasilinear elliptic equation with arbitrary eigenvalue was dealt with,where the unbounded non-linear term satisfied the superlinear condition,and a new notation of psuedo-eigenvalue was introduced.Then,an existence theorem was obtained under the Landesman-Lazer condition. |
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| Keywords: | quasilinear elliptic equation pseudo-eigenvalue resonance |
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