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Existence of solutions and boundary asymptotic behavior of p(r)-Laplacian equation multi-point boundary value problems

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成果类型:
期刊论文
作者:
Zhang, Qihu*;Wang, Yan;Qiu, Zhimei
通讯作者:
Zhang, Qihu
作者机构:
[Zhang, Qihu] Zhengzhou Univ Light Ind, Dept Informat & Comp Sci, Zhengzhou 450002, Henan, Peoples R China.
[Zhang, Qihu; Qiu, Zhimei; Wang, Yan] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
[Zhang, Qihu] Henan Inst Sci & Technol, Acad Adm, Xinxiang 453003, Henan, Peoples R China.
通讯机构:
[Zhang, Qihu] Z
Zhengzhou Univ Light Ind, Dept Informat & Comp Sci, Zhengzhou 450002, Henan, Peoples R China.
语种:
英文
关键词:
Asymptotic behaviors;Blow-up rates;Existence of Solutions;Laplacian equations;Laplacians;Multipoint boundary value problems;Subsolution;Supersolution;Shock problems;Laplace transforms
期刊:
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN:
0362-546X
年:
2010
卷:
72
期:
6
页码:
2950-2973
基金类别:
National Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [10701066, 10826042, 10971087]; China Postdoctoral Science FoundationChina Postdoctoral Science Foundation [20090460969]; Natural Science Foundation of Henan Education Committee [2008-755-65]; Natural Science Foundation of Jiangsu Education Committee [08KJD110007]; The Doctor Grant of Henan Polytechnic University [B2009-41]
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
摘要:
This paper investigates the problem {(- Δp (r) u + ρ (r) f (r, u) = 0, r ∈ (0, R),; u (0) = underover(∑, i = 1, m) αi u (ηi) + e0, u (r) → + ∞ (as r → R-),) where - Δp (r) u = - (| u′ |p (r) - 2 u′)′ is called the p (r)-Laplacian, ρ (r) is a singular coefficient. The existence and nonexistence of solutions are discussed, and the exact boundary blow-up rate of...

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