Fractional p-Laplacian elliptic Dirichlet problems

被引：0

作者：

Barilla, David ^{[2
]}

Bohner, Martin ^{[1
]}

Caristi, Giuseppe ^{[2
]}

Gharehgazlouei, Fariba ^{[3
]}

Heidarkhani, Shapour ^{[3
]}

机构：

[1] Missouri S&T, Dept Math & Stat, Rolla, MO 65409 USA

[2] Univ Messina, Dept Econ, Via Verdi 75, Messina, Italy

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

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2024年 / 31卷 / 06期

关键词：

critical points; variational method; Fractional p-Laplacian; MULTIPLICITY; EXISTENCE; EQUATIONS; THEOREM;

D O I：

10.1515/gmj-2024-2008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a fractional p-Laplacian elliptic Dirichlet problem that possesses one control parameter and has a Lipschitz nonlinearity order of p - 1 {p-1} . The multiplicity of the weak solutions is proved by means of the variational method and critical point theory. We investigate the existence of at least three solutions to the problem.

引用

页码：909 / 921

页数：13

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