THREE SOLUTIONS FOR A KIRCHHOFF-TYPE PROBLEM INVOLVING NONLOCAL FRACTIONAL p-LAPLACIAN

被引：18

作者：

Azroul, E. ^{[1
]}

Benkirane, A. ^{[1
]}

Srati, M. ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Lab Math Anal & Applicat, Fes, Morocco

来源：

ADVANCES IN OPERATOR THEORY | 2019年 / 4卷 / 04期

关键词：

Nonlocal Kirchhoff-type problem; fractional p; laplacian; fractional Sobolev space; three critical points theorem; EQUATIONS;

D O I：

10.15352/aot.1901-1464

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the three critical points theorem, we obtain the existence of three weak solutions for a Kirchhoff-type problem involving the nonlocal fractional p-Laplacian operator in a fractional Sobolev space, with homogeneous Dirichlet boundary conditions.

引用

页码：821 / 822

页数：2

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