Multiple solutions for a fractional Laplacian system involving critical Sobolev-Hardy exponents and homogeneous term

Multiple solutions for a fractional Laplacian system involving critical Sobolev-Hardy exponents and homogeneous term

In this paper, we deal with a class of fractional Laplacian system with critical Sobolev-Hardy exponents and sign-changing weight functions in a bounded domain. By exploiting the Nehari manifold and variational methods, some new existence and multiplicity results are obtain.

Bibliographic Details
Main Authors: Jinguo Zhang, Tsing-San Hsu
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2020-01-01
Series:Mathematical Modelling and Analysis
Subjects:
fractional Laplacian system
Nehari manifold
critical Sobolev-Hardy exponent
homogeneous term
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/7704

Internet

https://journals.vgtu.lt/index.php/MMA/article/view/7704

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