无穷区间上分数p-Laplacian方程边值问题正解的存在性  

Existence of positive solutions for fractional boundary value problem with p-Laplacian operator in infinite interval

作　　者：王金华[1] 向红军[1] 

机构地区：[1]湘南学院数学系,湖南郴州423000

出　　处：《高校应用数学学报（A辑）》2014年第2期201-210,共10页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：湖南省自然科学基金(11JJ3005);湖南省重点建设学科基金

摘　　要：应用锥上的一个不动点定理,讨论了一类分数p-Laplacian方程在无穷区间上的m点边值问题正解的多重性,获得了该边值问题至少存在三个正解的充分条件,并举例说明了所得结果的有效性.By using the fixed-point theorem on cone, the authors consider the multiple positive solutions for m- point fractional boundary value problem with p-Laplaeian operator in infinite interval, sufficient conditions for the existence of at least three positive solutions ave obtained. Moreover, an example is given to show the effectiveness of the works.

关 键 词：分数p-Laplacian方程 无穷区间 边值问题 不动点定理 存在性 

分 类 号：O175.14[理学—数学]