[1]蓝永艺,沈贤端.一类pLaplacian方程非平凡解的存在性[J].集美大学学报(自然科学版),2017,22(6):66-69.
LAN Yongyi,SHEN Xianduan.Existence of Nontrivial Solutions to a Class of pLaplacian Equation[J].Journal of Jimei University,2017,22(6):66-69.
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一类pLaplacian方程非平凡解的存在性(PDF)
《集美大学学报(自然科学版)》[ISSN:1007-7405/CN:35-1186/N]
- 卷:
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第22卷
- 期数:
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2017年第6期
- 页码:
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66-69
- 栏目:
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数理科学与信息工程
- 出版日期:
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2017-11-28
文章信息/Info
- Title:
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Existence of Nontrivial Solutions to a Class of pLaplacian Equation
- 作者:
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蓝永艺; 沈贤端
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(集美大学理学院,福建 厦门 361021)
- Author(s):
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LAN Yongyi; SHEN Xianduan
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(School of Science,Jimei University,Xiamen 361021,China)
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- 关键词:
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p; ; ; Laplacian方程; 变分法; P.S.条件; 山路引理
- Keywords:
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p; ; ; Laplacian equation; variational methods; P.S.condition; mountain; ; ; pass lemma
- 分类号:
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- DOI:
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- 文献标志码:
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A
- 摘要:
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研究了具有Dirichlet边值问题的pLaplacian方程-Δpu = f (x,u)的非平凡解的存在性。在非线性项f赋予适当的条件下,通过变分法和一些分析技巧,给出了其非平凡解的存在性定理。
- Abstract:
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This paper was devoted to the pLaplacian equation-Δpu = f (x,u) with the Dirichlet boundary value.The existence of a nontrivial solution for the pLaplacian equations under suitable assumptions on the nonlinear term f was proved by using the variational method and some analysis techniques.
参考文献/References:
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更新日期/Last Update:
2017-12-28