Superlinear Kirchhoff-type problems of the fractional p-Laplacian without the (AR) condition

被引：16

作者：

Zuo, Jiabin ^{[1
,2
]}

An, Tianqing ^{[1
]}

Li, Mingwei ^{[3
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing, Jiangsu, Peoples R China

[2] Jilin Engn Normal Univ, Fac Appl Sci, Changchun, Jilin, Peoples R China

[3] Hohai Univ, Sch Earth Sci & Engn, Nanjing, Jiangsu, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2018年

关键词：

Fountain theorem; Kirchhoff-type equation; Fractional p-Laplacian; Ambrosetti-Rabinowitz condition; NONTRIVIAL SOLUTIONS; EXISTENCE; MULTIPLICITY; THEOREMS;

D O I：

10.1186/s13661-018-1100-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the following superlinear p-Kirchhoff-type equation: { M(integral R-2N vertical bar u(x)-u(y)vertical bar(p)/vertical bar x-y vertical bar(N+ps) dx dy) (-Delta)(p)(s) u(x) - lambda vertical bar u vertical bar(p-2) u = g(x, u) in Omega, u = 0 in R-N\Omega, Under suitable assumptions on g(x, u) without the (AR) condition, the existence of infinitely many solutions for the Kirchhoff equation of a fractional p-Laplacian is obtained by using the fountain theorem. Our conclusions generalize and extend some existing results.

引用

页数：13

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