兰州大学机构库 >数学与统计学院
p(x)型基尔霍夫方程解的存在性
Alternative TitleExistence of solutions for a p(x)-Kirchhoff-type equation
郝瑞芳
Thesis Advisor范先令
2009-05-18
Degree Grantor兰州大学
Place of Conferral兰州
Degree Name硕士
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
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 AbstractThis 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
Language中文
Document Type学位论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/225671
Collection数学与统计学院
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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