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奇异p-Laplacian方程组两点边值问题正解的存在性
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作者 田亚 《邢台学院学报》 2008年第2期74-77,共4页
定义了方程组边值问题中的增泛函,从而利用三个泛函三个不动点定理得到了一类p-Laplacian方程组两点边值问题正解的存在条件。
关键词 p—Laplacian算子 个泛函三个不动点定理 增函数
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Multiple Positive Solutions to a Nonlinear Two-point Boundary Value Problem with p-Laplacian 被引量:4
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作者 李志艳 严树林 葛渭高 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2006年第3期480-488,共9页
By a simple application of a new three functionals fixed point theorem, sufficient conditions axe obtained to guarantee the existence of at least three positive solutions for p-Laplacian equation: (φp(u′))′ +... By a simple application of a new three functionals fixed point theorem, sufficient conditions axe obtained to guarantee the existence of at least three positive solutions for p-Laplacian equation: (φp(u′))′ + α(t)f(t,u(t)) = 0 subject to nonlinear boundary value conditions. An example is presented to illustrate the theory. 展开更多
关键词 boundary value problem p-Laplacian operator positive solution the threefunctionals fixed point theorem.
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