On a class of fractional systems with nonstandard growth conditions

被引：9

作者：

Boumazourh, Athmane ^{[1
]}

Azroul, Elhoussine ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Dept Math, POB 1796, Atlas 30000, Fez, Morocco

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2020年 / 11卷 / 02期

关键词：

Elliptic systems; Generalized fractional Sobolev spaces; Variational methods; Mountain pass theorem; Fractional p(x)-Laplacian; Primary; 35J48; Secondary; 35J50; 46E35; SOBOLEV SPACES;

D O I：

10.1007/s11868-019-00310-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of weak solutions for a quasilinear elliptic system involving the fractional pseudo-differential (p(.), q(.))-Laplacian operators. The approach is based on mountain pass theorem in which we prove that the energy functional associated to our problem satisfies the Palais-Smale and two mountain pass geometric conditions.

引用

页码：805 / 820

页数：16

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