Existence and multiplicity of positive solutions to fractional Laplacian systems with combined critical Sobolev terms

被引：0

作者：

Shahla Amiri

Nemat Nyamoradi

Abolfazl Behzadi

Vincenzo Ambrosio

机构：

[1] University of Mazandaran,Department of Mathematics, Faculty of Mathematical Sciences

[2] Razi University,Department of Mathematics, Faculty of Sciences

[3] Università Politecnica delle Marche,Dipartimento di Ingegneria industriale e Scienze Matematiche

来源：

Positivity | 2021年 / 25卷

关键词：

Nehari manifold; Variational method; Non-local Laplacian operators; Concentration–compactness principle; 35B33; 35A15; 35R11;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We deal with the existence and multiplicity of solutions for a non-local fractional system involving combined critical non-linearities. Some existence results are obtained by splitting the Nehari manifold and applying the Mountain–Pass theorem of Ambrosetti and Rabinowitz.

引用

页码：1373 / 1402

页数：29

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