| 一类P-LAPLACIAN边值问题的多个正解 |
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| 引用本文： | 丁卫平,刘玉记. 一类P-LAPLACIAN边值问题的多个正解[J]. 数学的实践与认识, 2004, 34(5): 146-152 |
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| 作者姓名： | 丁卫平 刘玉记 |
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| 作者单位： | 湖南理工学院数学系,湖南,岳阳,414006 |
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| 摘 要： | 基于 Leggett-Williams在锥上的不动点定理研究两点边值问题(φp( u′( t) ) )′+ a( t) f ( u( t) ) =0 t∈ ( 0 ,1 )u′( 0 ) =0 , αu′( 1 ) + u( 1 ) =0其中 α∈ R,a:( 0 ,1 )→ [0 ,+∞ ) ,f :[0 ,+∞ )→ R,p( z) =| z| p- 2 z,获得了保证正解存在的充分条件
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| 关 键 词： | 二阶边值问题 锥 Leggett-Williams不动点定理 p-Laplacian算子 |
| 修稿时间： | 2003-04-11 |
Multiple Positive Soluitons of a Class of Boundary Value Problems with P-Laplacian |
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| DING Wei-ping,LIU Yu-ji. Multiple Positive Soluitons of a Class of Boundary Value Problems with P-Laplacian[J]. Mathematics in Practice and Theory, 2004, 34(5): 146-152 |
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| Authors: | DING Wei-ping LIU Yu-ji |
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| Abstract: | Approach is based on Leggett-Williams fixed point theorem in cones.-For the two-point boundary-values problem(φp(u′(t)))′+a(t)f(u(t))=0 t∈(0,1)u′(0)=0, αu′(1)+u(1)=0 where α∈R, a:(0,1)→[0, +∞), f:[0,+∞)→R+, φp(z)=|z| p-2 z, We give sufficient conditions that guarantee the existence of positive solutions. |
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| Keywords: | second-order boundary value problem cone Leggett-Williams fixed point theorem p-Laplacian operator |
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