一类非线性p-Laplacian算子方程的正解

Positive solutions for a class of nonlinear p-Laplacian operator equations

下载PDF

导出

摘要研究了一类含有p-Laplacian算子的非线性四点边值问题,通过构造一个全连续算子并结合范数形式的锥拉伸与压缩不动点定理得到了正解存在的几个充分条件. This paper studies a class of nonlinear four-point boundary value problems with p-Laplacian operator.Several sufficient conditions for the existence of positive solutions is obtained by constructing a completely continuous operator and combing fixed-point theorem of cone expansion and compression of norm type.

作者杨景保韦忠礼康平

机构地区亳州师范高等专科学校理科系山东大学数学学院山东建筑大学理学院

出处《商丘师范学院学报》 CAS 2010年第6期14-19,共6页 Journal of Shangqiu Normal University

基金亳州师范高等专科学校科研基金资助项目(BSKY0805) 山东省重大科技专项基金资助项目(2005GG21006001) 山东大学数学学院基金(306001)

关键词 P-LAPLACIAN算子四点边界值问题锥拉伸与压缩不动点定理正解 p-Laplacian operator four-point boundary value problems fixed-point theorem of coneexpansion and compression positive solutions

分类号 O175.8 [理学—基础数学]

引文网络
相关文献

参考文献8

1SU Hua, WEI Zhongli, WANG Baohe. The existence of positive solutions for a nonlinear four - point singular boundary value problem with a p - Laplacian operator [ J]. Nonlinear Analysis, 2007, 66 : 2204 - 2217.
2SU Hua, WEI Zhongli, XU Fuyi. The existence of positive solutions for nonlinear singular boundary value system with p - Laplacian [J]. Applied Mathematics and Computation, 2006, 181: 826- 836.
3LIANG Ruixi, PENG Jun, SHEN Jianhua. Double positive solutions for a nonlinear four -point boundary value problem with a p- Laplacian operator [J]. Nonlinear Analysis, 2008, 68:1881 -1889.
4JI Dehong, GE Weigao. Existenceof muhiple positive solutions for Sturm - Liouville - like four - point boundary value problem with p - Laplacian [ J ]. Nonlinear Analysis, 2008, 68 : 2638 - 2646.
5GUO Yanping, GE Weigao. Three positive solutions for the one - dimensional p - Laplacian [ J ]. Journal of Mathematical Analysis and Applications, 2003, 286:491 -508.
6WEI Zhongli, PANG Changci. Exact structure of positive solutions for some p -Laplacian equations [ J]. J. Math. Anal. Appl. ,2005, 301:52-64.
7LIU Bing. Positive solutions of three - point boundary nalue problems for the one - dimensional p - Laplacian with infinitely many singularities [ J ]. Applied Mathematics Letters, 2004, 17 : 655 - 661.
8GUO Dajun. Nonlinear Functional Analysis [ M]. Jinan: Scientific Pressing House of Shandong, 2004.

1姚晓闺.Banach空间中一类非线性四点边值问题的正解(Ⅱ)(英文)[J].曲阜师范大学学报（自然科学版）,2007,33(3):43-47.
2刘玉玲.一类含导数的非线性四点边值问题的多解性[J].喀什师范学院学报,2012,33(3):4-7.
3刘颖.几类四阶非线性常微分方程非线性四点边值问题解的存在性[J].沈阳师范学院学报（自然科学版）,2001,19(1):4-10.

商丘师范学院学报

2010年第6期

浏览历史

内容加载中请稍等...

一类非线性p-Laplacian算子方程的正解

参考文献8

相关作者

相关机构

相关主题

浏览历史