Existence of weak solutions for a fractional p-Laplacian equation in RN

被引：0

作者：

Xu, Jiafa ^{[1
]}

O'Regan, Donal ^{[2
,3
]}

Dong, Wei ^{[4
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

[3] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia

[4] Hebei Univ Engn, Dept Math, Handan 056038, Hebei, Peoples R China

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2017年 / 111卷 / 02期

关键词：

Fractional p-Laplacian; Variational method; Critical point theory; Weak solution; MULTIPLE SOLUTIONS;

D O I：

10.1007/s13398-016-0310-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we use variational methods and critical point theory to investigate the existence of weak solutions for the fractional p-Laplacian equation in RN (-Delta)(s)(p)u + V( x)|u| (p-2)u = f (x, u), x is an element of R-N, where N, p >= 2, s is an element of (0,1), (-Lambda)(s)(p) is the fractional p-Laplacian, and f : R-N x R -> R is a Caratheodory function.

引用

页码：515 / 529

页数：15

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