Existence and multiplicity of solutions to fractional p-Laplacian systems with concave-convex nonlinearities

被引：11

作者：

Alsulami, Hamed ^{[1
]}

Kirane, Mokhtar ^{[1
,2
]}

Alhodily, Shabab ^{[1
]}

Saeed, Tareq ^{[1
]}

Nyamoradi, Nemat ^{[3
]}

机构：

[1] King Abdulaziz Univ, Dept Math, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

[2] Univ La Rochelle, LaSIE, Pole Sci & Technol, Ave Michel Crepeau, F-17031 La Rochelle, France

[3] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran

来源：

BULLETIN OF MATHEMATICAL SCIENCES | 2020年 / 10卷 / 01期

关键词：

Nehari manifold; variational method; fractional p-Laplacian operators; ELLIPTIC SYSTEM; NEHARI MANIFOLD;

D O I：

10.1142/S1664360720500071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with a fractional p-Laplacian system with both concave-convex nonlinearities. The existence and multiplicity results of positive solutions are obtained by variational methods and the Nehari manifold.

引用

页数：20

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