| 一类 p-Laplacian 边值问题多个对称解的存在性 |
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| 引用本文： | 薛益民,苏莹.一类 p-Laplacian 边值问题多个对称解的存在性[J].安徽大学学报(自然科学版),2016,40(4):30-36. |
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| 作者姓名： | 薛益民 苏莹 |
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| 作者单位： | 徐州工程学院数学与物理科学学院,江苏徐州,221111;徐州工程学院数学与物理科学学院,江苏徐州,221111 |
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| 基金项目： | 国家自然科学基金资助项目(11301454)；江苏省六大人才高峰项目(2013-JY-003)；江苏省自然科学基金资助项目(BK20151160)；徐州工程学院重点项目(2013102)；徐州工程学院青年项目(XKY2013314) |
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| 摘 要： | 研究一维p-Laplacian动力方程(φp(u′(t))′+h(t)f(t,u(t),u′(t))=0,t∈0,1],u(0)=u(1)=ω,u′(0)=-u′(1),两点边值问题多个对称正解的存在性.利用Avery-Peterson不动点定理,得到边值问题3个和任意奇数多个对称解的存在性,并给出例子验证所得结果.
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| 关 键 词： | 边值问题 对称解 p-Laplacian 不动点理论 |
Existence of multiple symmetric solutions to a p-Laplacian boundary value problem with nonlinear term involving derivative |
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| XUE Yimin,SU Ying.Existence of multiple symmetric solutions to a p-Laplacian boundary value problem with nonlinear term involving derivative[J].Journal of Anhui University(Natural Sciences),2016,40(4):30-36. |
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| Authors: | XUE Yimin SU Ying |
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| Abstract: | In this paper ,we studied the following dynamic equation for the two‐point BVPs with p‐Laplacian as the form of (φp (u′(t))′+ h(t) f (t ,u(t) ,u′(t)) = 0 ,t ∈ 0 ,1] , u(0) = u(1) = ω,u′(0) = - u′(1) , the existences of triple or arbitrary odd positive symmetric solutions were obtained by using Avery‐Peterson fixed‐point theory .As an application ,one example was given to illustrate the main results . |
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| Keywords: | boundary value problem symmetric solutions p-Laplacian fixed point theory |
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