Infinitely many solutions via critical points for a fractional p-Laplacian equation with perturbations

被引：1
|
作者：
Zhang, Keyu [1 ]
O'Regan, Donal [2 ]
Xu, Jiafa [3 ]
Fu, Zhengqing [4 ]
机构：
[1] Qilu Normal Univ, Sch Math, Jinan, Shandong, Peoples R China
[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
[3] Chongqing Normal Univ, Sch Math Sci, Chongqing, Peoples R China
[4] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Shandong, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Fractional p-Laplacian equation; Infinitely many solutions; Variant fountain theorems; BOUNDARY-VALUE-PROBLEMS; BLOW-UP SOLUTIONS; POSITIVE SOLUTIONS; MULTIPLE SOLUTIONS; SCHRODINGER-EQUATIONS; NONTRIVIAL SOLUTIONS; KIRCHHOFF TYPE; EXISTENCE; SYSTEM; UNIQUENESS;
D O I：
10.1186/s13662-019-2113-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use variant fountain theorems to study the existence of infinitely many solutions for the fractional p-Laplacian equation (-Delta)(p)(alpha) u + lambda V(x)vertical bar u vertical bar(p-2)u = f (x,u) - mu g(x)vertical bar u vertical bar(q-2)u, x is an element of R-N, where lambda, mu re two positive parameters, N,p >= 2, q is an element of(1,p), alpha is an element of(0,1), (-Delta)(p)(alpha) is the fractional p-Laplacian, and V, g, u:R-N -> R, f: R-N x R -> R.
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收藏
页数：15
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