| 一类Dirichlet问题的非平凡解 |
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| 引用本文： | 裴瑞昌,马草川. 一类Dirichlet问题的非平凡解[J]. 甘肃科学学报, 2006, 18(4): 7-9 |
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| 作者姓名： | 裴瑞昌 马草川 |
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| 作者单位： | 天水师范学院,数理与信息科学学院,甘肃,天水,741001 |
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| 摘 要： | 考虑一类特殊的Dirichlet问题,即非线性项在负无穷远处为渐近线性,而在正无穷远处为超线性,并通过一定的技巧证明获得了该问题非平凡解的存在性.
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| 关 键 词： | 山路引理 渐近线性 超线性 Dirichlet问题 |
| 文章编号： | 1004-0366（2006）04-0007-03 |
| 收稿时间： | 2005-11-10 |
| 修稿时间： | 2005-11-10 |
The Existence of Nontrivial Solution about a Particular Dirichlet Problem |
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| PEI Rui-chang,MA Cao-chuan. The Existence of Nontrivial Solution about a Particular Dirichlet Problem[J]. Journal of Gansu Sciences, 2006, 18(4): 7-9 |
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| Authors: | PEI Rui-chang MA Cao-chuan |
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| Abstract: | We consider a particular Dirichlet problem. This means that the nonlinear term is superlinear at the positive infinity but asymptotically linear at the negative infinity. We obtained the existence of nontrivial solution about this problem by using certain skills. |
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| Keywords: | mountain pass asymptotically linear superlinears Dirichlet problem |
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