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

作　　者：薛益民[1] 苏莹[1] 

机构地区：[1]徐州工程学院数学与物理科学学院,江苏徐州221111

出　　处：《安徽大学学报（自然科学版）》2016年第4期30-36,共7页Journal of Anhui University(Natural Science Edition)

基　　金：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)

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.In this paper, we studied the following dynamic equation for the two-point BVPs with p-Laplacian as the form of 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 

分 类 号：O175[理学—数学]