| 具有无界非线性项的半线性椭圆共振问题 |
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| 引用本文： | 苏加宝.具有无界非线性项的半线性椭圆共振问题[J].数学学报,1998,41(4):715-720. |
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| 作者姓名： | 苏加宝 |
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| 作者单位： | 中国科学院数学研究所，首都师范大学数学系 |
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| 摘 要： | 本文中我们研究一类在高阶特征值处共振、具有无界的非线性项的渐近线性椭圆方程的非平凡解的存在性．
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| 关 键 词： | 共振，临界群，非平凡解，Morse理论 |
Semilinear Elliptic Resonant Problems at Higher Eigenvalue with Unbounded Nonlinear Terms |
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| Su Jiabao.Semilinear Elliptic Resonant Problems at Higher Eigenvalue with Unbounded Nonlinear Terms[J].Acta Mathematica Sinica,1998,41(4):715-720. |
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| Authors: | Su Jiabao |
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| Abstract: | In this paper we study the existence of nontrivial solutions of a class of asymptotically linear elliptic resonant problems at higher eigenvalues with the nonlinear term which may be unbounded by making use of the Morse theory for a C 2-function at both isolated critical point and infinity. |
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| Keywords: | Resonance Critical group Nontrivial solution Morse theory |
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