The existence of a ground state solution for a class of fractional differential equation with p-Laplacian operator

被引：3
|
作者：
Hu, Zhigang [1 ]
Liu, Wenbin [1 ]
Chen, Taiyong [1 ]
机构：
[1] China Univ Min & Technol, Dept Math, Xuzhou 221008, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2016年
关键词：
fractional differential equations; boundary value problem; Nehari manifold; ground state solution; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS;
D O I：
10.1186/s13661-016-0557-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we apply the Nehari manifold method to study the fractional p-Laplacian differential equation {D-t(T)alpha phi(p)((0)D(t)(alpha)u(t)) = f (t, u(t)), t is an element of [0, T], u(0) = u(T) = 0, where D-0(t)alpha, D-t(T)alpha are the left and right Riemann-Liouville fractional derivatives of order 0 <= alpha < 1, respectively. We prove the existence of a ground state solution for the boundary value problem.
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页码：1 / 12
页数：12
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