高阶p-Laplacian算子方程组边值问题多个正解的存在性

J4 ›› 2008, Vol. 43 ›› Issue (5): 50-53 .doi:

高阶p-Laplacian算子方程组边值问题多个正解的存在性

唐秋云¹，王明高²，刘衍胜³

1. 万杰医学院数学教研室, 山东淄博 255213; 2. 万杰医学院口腔系, 山东淄博 255213;3. 山东师范大学数学科学学院, 山东济南 250014

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 唐秋云

The existence of multiple positive solutions for higher order boundary value systems with p-Laplacian operator

TANG Qiu-yun¹， WANG Ming-gao², LIU Yan-sheng³

1. Section of Mathematics, Wanjie Medical College, Zibo 255213, Shandong, China;2. Department of Stomatology, Wanjie Medical College, Zibo 255213, Shandong, China;3. Department of Mathematics, Shandong Normal University, Jinan 250014, Shandong, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: TANG Qiu-yun

摘要/Abstract

摘要：

应用锥拉伸和锥压缩不动点理论讨论了含p-Laplacian算子的高阶微分方程组边值问题多个正解的存在性.

关键词: p-Laplacian算子; 高阶微分方程组; 锥拉伸和锥压缩

Abstract:

With the method of compression and expansion of a cone, the existence of multiple positive solutions for higher order boundary value systems with a p-Laplacian operator was investigated.

Key words: p-Laplacian operator; higher order boundary value systems; compression and expansion of cone

中图分类号:

O175.8

唐秋云,王明高,刘衍胜 . 高阶p-Laplacian算子方程组边值问题多个正解的存在性[J]. J4, 2008, 43(5): 50-53 .

TANG Qiu-yun,WANG Ming-gao,LIU Yan-sheng . The existence of multiple positive solutions for higher order boundary value systems with p-Laplacian operator[J]. J4, 2008, 43(5): 50-53 .

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