| p(x)型基尔霍夫方程解的存在性 |
| Alternative Title | Existence of solutions for a p(x)-Kirchhoff-type equation
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| 郝瑞芳 |
| Thesis Advisor | 范先令
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| 2009-05-18
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| Degree Grantor | 兰州大学
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| Place of Conferral | 兰州
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| Degree Name | 硕士
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| Keyword | 变指数Sobolev 空间
变分方法
p(x) 型基尔霍夫方程
非局部问题
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| Abstract | 这篇文章在有界域上考虑了带有 Dirichlet 边值的 p(x) 型基尔霍夫方程的解的存在性和多解性. 本文应用变指数 Sobolev 空间 理论和山路引理,喷泉定理和对偶喷泉定理等变分方法, 得到了这类问题的解的存在性和多解性. |
| Other Abstract | This paper is concerned with the existence and multiplicity solutions to a class of p(x)-Kirchhoff-type problem with Dirichlet boundary data. By means of the theory of the variable exponent Sobolev spaces and the variational approaches such as Mountain pass lemma, fountain theorem, Dual fountain theorem, we establish conditions ensuring the existence and multiplicity of solutions for the problem. |
| URL | 查看原文
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| Language | 中文
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| Document Type | 学位论文
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| Identifier | https://ir.lzu.edu.cn/handle/262010/225671
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| Collection | 数学与统计学院
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Recommended Citation
GB/T 7714 |
郝瑞芳. p(x)型基尔霍夫方程解的存在性[D]. 兰州. 兰州大学,2009.
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