| 一维p-Laplacian方程奇异边值问题的古典正解 |
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| 引用本文： | 张绍康,袁红秋.一维p-Laplacian方程奇异边值问题的古典正解[J].西南大学学报,2009,31(5). |
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| 作者姓名： | 张绍康 袁红秋 |
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| 作者单位： | 昭通师范高等专科学校,数学系,云南,昭通,657000 |
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| 摘 要： | 本文讨论具有p-Laplacian算子型的奇异边值问题-(|x"(t)|p-2x"(t))"=f(t,x(t)),t∈(0,1);x(0)=x(1)=0,x"(0)=x"(1)=0古典正解的存在性,其中函数f(t,u)可能在t=0,1都具有奇性.Abstract：In this paper, we discuss the existence of positive classical solutions for a singular boundary value problem with p -Laplacian -(| x"(t) |~(p-2)x"(t))" = f(t, x(t)), t ∈ (0, 1); x(0)= x(1) = 0, x"(0) =x"(1) = 0, where the fuction f(t, u) may be singular at t = 0, 1.
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| 关 键 词： | p-Laplacian方程 奇异边值问题 正解 |
The Existence of Positive Classical Solutions for Singular Boundary Value Problems with One-Dimensional p-Laplacian Equations |
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| ZHANG Shao-kang,YUAN Hong-qiu.The Existence of Positive Classical Solutions for Singular Boundary Value Problems with One-Dimensional p-Laplacian Equations[J].Journal of Southwest Agricultural University,2009,31(5). |
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| Authors: | ZHANG Shao-kang YUAN Hong-qiu |
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