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p-Laplacian边值问题的多重正解(英文)
引用本文:王凌云. p-Laplacian边值问题的多重正解(英文)[J]. 山东大学学报(自然科学版), 2009, 0(7): 77-82
作者姓名:王凌云
作者单位:山东工业职业学院基础部,山东淄博256414
摘    要:利用不动点指数定理及迭代技术,本文主要讨论p-Laplacian微分方程边值问题正解的存在性和非存在性,并得到了依赖于参数λ的边值问题的正解。

关 键 词:p-Laplacian  正解  不动点指数定理

Multiple positive solutions for p-Laplacian boundary value problems
WANG Ling-yun. Multiple positive solutions for p-Laplacian boundary value problems[J]. Journal of Shandong University(Natural Science Edition), 2009, 0(7): 77-82
Authors:WANG Ling-yun
Affiliation:WANG Ling-yun Shandong Vocational College of Industry, Zibo 256414, Shandong, China)
Abstract:Using fixed index point theorems and iterative technique, this paper is concerned with the existence and nonexistence of positive solutions for the p-Laplacian differential equations. We obtained the dependence of the positive solutions on the parameter λ.
Keywords:p-Laplacian differential equation  positive solutions  the fixed point index theorem
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