安徽大学学报（自然科学版）2016，Vol.40Issue(4)：30-36,7.DOI:10.3969/j.issn.1000-2162.2016.04.006
一类 p-Laplacian 边值问题多个对称解的存在性
Existence of multiple symmetric solutions to a p-Laplacian boundary value problem with nonlinear term involving derivative
摘要
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 .关键词
边值问题/对称解/p-Laplacian/不动点理论Key words
boundary value problem/symmetric solutions/p-Laplacian/fixed point theory分类
数理科学引用本文复制引用
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):30-36,7.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 （）
