| 具有p-Laplacian拟线性特征值Dirichlet问题的多重解 |
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| 引用本文： | 李相锋. 具有p-Laplacian拟线性特征值Dirichlet问题的多重解[J]. 吉林大学学报(理学版), 2008, 46(4): 633-637 |
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| 作者姓名： | 李相锋 |
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| 作者单位： | 陇东学院,数学系,甘肃,庆阳,745000 |
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| 基金项目： | 甘肃省高校研究生导师科研基金 |
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| 摘 要： | 利用变分方法和Ricceri三临界点定理, 建立了一类具有p-Laplacian的非线性特征值问题:至少存在3个弱解的充分条件, 并且推广了已有文献的相关结果.
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| 关 键 词： | p-Laplacian Ricceri三临界点定理 变分方法 弱解 特征值Dirichlet问题 |
| 收稿时间： | 2007-10-29 |
Multiplicity of Solutions for Quasilinear Eigenvalue Dirichlet Problems with p-Laplacian |
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| LI Xiang-feng. Multiplicity of Solutions for Quasilinear Eigenvalue Dirichlet Problems with p-Laplacian[J]. Journal of Jilin University: Sci Ed, 2008, 46(4): 633-637 |
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| Authors: | LI Xiang-feng |
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| Affiliation: | Department of Mathematics, Longdong University, Qingyang 745000, Gansu Province, China |
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| Abstract: | Using variational method and a three critical points theorem of Ricceri, we considered a class of quasilinear eigenvalue problemofthe formand sufficient conditions which guarantee the existence of at least three weak solutions for the above problem were established. Moreover, the results in the literature are generalized. |
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| Keywords: | p-Laplacian Ricceri three critical points theorem variational method weak solution eigenvalue Dirichlet problem |
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