Weak solution for fractional (p1, ..., pm)-Laplacian system with Dirichlet-type boundary conditions

被引：0

作者：

Sabri, Abdelali ^{[1
]}

Jamea, Ahmed ^{[1
,2
]}

Alaoui, Hamad Talibi ^{[1
]}

机构：

[1] Univ Chouaib Doukkali, Fac Sci, EMAPI, El Jadida, Morocco

[2] Ctr Reg Metiers Educ & Format Casablanca Settat, El Jadida, Morocco

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2021年 / 70卷 / 03期

关键词：

Existence; Fractional p-Laplacian; Fractional Sobolev space; Uniqueness; Varitional method; Weak solution;

D O I：

10.1007/s12215-020-00573-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we prove the existence and uniqueness of weak solutions to a class of fractional (p(1), ., p(m))-Laplacian problem with Dirichlet-type boundary conditions, the main tool used here is the variational method combined with the theory of fractional Sobolev spaces.

引用

页码：1541 / 1560

页数：20

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