| 具m-Laplacian算子型椭圆边值问题的多重径向对称正解 |
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| 引用本文： | 杨雯抒.具m-Laplacian算子型椭圆边值问题的多重径向对称正解[J].贵州师范大学学报(自然科学版),2008,26(4). |
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| 作者姓名： | 杨雯抒 |
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| 作者单位： | 嘉应学院,数学系,广东,梅州,514015 |
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| 基金项目： | 广东省自然科学基金，梅州科学局嘉应学院项目 |
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| 摘 要： | 关于具m-Laplacian算子型椭圆边值问题的存在多重径向对称正解的研究,采用将其转化为等价的边值问题,并利用锥上不动点指数原理研究了等价的边值问题,得到了此边值问题存在多重正解的充分条件,推广并丰富了以前文献的一些结论.
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| 关 键 词： | m-Laplacian算子 边值问题 多重正解 |
Multiple raoial symmetric positive solutions of elliptic boundary value problems with m-Laplacian |
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| YANG Wen-shu.Multiple raoial symmetric positive solutions of elliptic boundary value problems with m-Laplacian[J].Journal of Guizhou Normal University(Natural Sciences),2008,26(4). |
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| Authors: | YANG Wen-shu |
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| Abstract: | This paper deals with the existence of multiple radial symmetive positive solutions for elliptic boundary value problems with m-Laplacianare.Sufficient conditions are established for the multiplicity of positive solutions of this equial boundary value problems by using a fixed point index theorem in cones. |
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| Keywords: | m-Laplacian operator boundary problems multiple positive solutions |
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