| 蜕化p-Laplace方程无穷多解的存在性 |
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| 引用本文： | 陈少英,黄浩锋.蜕化p-Laplace方程无穷多解的存在性[J].仲恺农业技术学院学报,2007,20(4):25-29. |
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| 作者姓名： | 陈少英 黄浩锋 |
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| 作者单位： | 1. 五邑大学,数理系,广东,江门,529000
2. 华南师范大学,增城学院,广东,广州,511363 |
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| 摘 要： | 研究了一类在无穷远处具超线性条件的蜕化p-Laplace方程无穷多解的存在性.由于没有假设A-R条件,不能像通常那样得到(PS)c条件,为此证明其满足Cerami条件,再利用对称山路引理,得到了无穷多解的存在性.
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| 关 键 词： | Cerami 条件 对称山路引理 紧嵌入定理 |
| 文章编号： | 1006-0774（2007）04-0025-05 |
| 收稿时间： | 2007-03-06 |
| 修稿时间： | 2007年3月6日 |
The existence of multipe solutions to a degenerate p-Laplace equation |
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| CHEN Shao-ying,HUANG Hao-feng.The existence of multipe solutions to a degenerate p-Laplace equation[J].Journal of Zhongkai Agrotechnical College,2007,20(4):25-29. |
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| Authors: | CHEN Shao-ying HUANG Hao-feng |
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| Abstract: | The existence of multiple solutions to a degenerate p-Laplace equation with superlinear term at infinity was studied.In this case,without the well-known Ambrosetti-Rabinowtz type condition,it was difficult to verify the classical(PS)c condition.To overcome this difficulty,an equivalent version of Cerami's condition was used,then the existence of infinite solution was proved by utilizing Symmetric mountain pass lemma. |
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| Keywords: | Cearmi condition symmetric mountain pass lemma compact embedding theorem |
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