Strauss and Lions Type Theorems for the Fractional Sobolev Spaces with Variable Exponent and Applications to Nonlocal Kirchhoff-Choquard Problem

被引：13

作者：

Bahrouni, Sabri ^{[1
]}

Ounaies, Hichem ^{[1
]}

机构：

[1] Univ Monastir, Dept Math, Fac Sci, Monastir 5019, Tunisia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 02期

关键词：

Fractional Sobolev space with variable exponent; Strauss compact embedding; Lions-type theorem; Kirchhoff-Choquard problem;

D O I：

10.1007/s00009-020-01661-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with Strauss and Lions-type theorems for fractional Sobolev spaces with variable exponent W-s,W-p(.),W-(p) over tilde(.,W-.)(Omega), when p and (p) over tilde satisfy some conditions. As application, we study the existence of solutions for a class of Kirchhoff-Choquard problem in R-N.

引用

页数：22

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