| 加权p-Laplacian方程的特征值问题 |
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| 引用本文： | 贾高,赵青,戴春艳. 加权p-Laplacian方程的特征值问题[J]. 上海理工大学学报(社会科学版), 2009, 31(4) |
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| 作者姓名： | 贾高 赵青 戴春艳 |
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| 作者单位： | 上海理工大学,理学院,上海,200093? |
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| 摘 要： | 研究加权索伯列夫空间中p-Laplacian方程的特征值问题,利用变分法和加权Clarkson不等式及加权Friedrichs不等式,得到了最小特征值相应于特征函数的存在性.
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| 关 键 词： | p-Laplacian方程 加权Sobolev空间 特征值 |
Eigenvalue problem of p-Laplacian equations in weighted Sobolev space |
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| JIA Gao,ZHAO Qing,DAI Chun-yan. Eigenvalue problem of p-Laplacian equations in weighted Sobolev space[J]. Journal of University of Shanghai For Science and Technilogy(Social Science), 2009, 31(4) |
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| Authors: | JIA Gao ZHAO Qing DAI Chun-yan |
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| Affiliation: | College of Science;University of Shanghai for Science and Technology;Shanghai 200093;China |
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| Abstract: | The existence of the eigenfunctions corresponding to the first eigenvalue concerning the p-Laplacian operators in the weighted Sobolev space was investigated.The result was achieved by use of variation method,weighted Clarkson inequality and weighted Friedrichs inequality. |
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| Keywords: | p-Laplacian equation weighted Sobolev space eigenvalue |
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