| 一类渐近线性椭圆方程非平凡解的存在性 |
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| 引用本文： | 刘春晗,王建国. 一类渐近线性椭圆方程非平凡解的存在性[J]. 郑州大学学报(自然科学版), 2014, 0(1): 5-9 |
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| 作者姓名： | 刘春晗 王建国 |
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| 作者单位： | 齐鲁师范学院数学系,山东济南250013 |
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| 基金项目： | 国家自然科学基金资助项目,编号10971179;山东省高等学校科技计划项目,编号J09LA55,J12LI53. |
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| 摘 要： | 在共振的情况下利用山路引理讨论了一类渐近线性椭圆方程,获得了方程的非平凡解.
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| 关 键 词： | Hardy位势 山路引理 非平凡解 |
Existence of Nontrivial Solutions for Some Asymptotically Linear Elliptic Equations |
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| LIU Chun-han,WANG Jian-guo. Existence of Nontrivial Solutions for Some Asymptotically Linear Elliptic Equations[J]. Journal of Zhengzhou University (Natural Science), 2014, 0(1): 5-9 |
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| Authors: | LIU Chun-han WANG Jian-guo |
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| Affiliation: | ( Department of Mathematics, Qilu Normal Universitiy, Ji＇ nan 250013, China) |
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| Abstract: | By using the Mountain pass lemma, some asymptotically linear elliptic equations at resonance were discussed. The existence of nontrivial solutions was proved. |
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| Keywords: | Hardy potential Mountain pass lemma nontrivial solution |
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