Content area

Abstract

Translate

In this paper, we consider a class of nonhomogeneous fractional elliptic equations involving critical Hardy Sobolev exponents as follows where il C MN is a bounded domain, O < s < 1, A>Oisa parameter. We prove the existence of multiple solutions using the variational methods and the Nehari manifold decomposition.

Details

Subject
Elliptic functions;
Eigenvalues;
Inequality;
Variational methods
Title
SOLUTIONS FOR A NONLOCAL ELLIPTIC EQUATION WITH CRITICAL SOBOLEV EXPONENT AND SINGULAR TERM
Author
Benfriha, Habib 1 ; Bennour, Abdelaziz 1 ; Messirdi, Sofiane 1 

1  Department of Mathematics, University of Oran 1 Ahmed Benbella. Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO), Algeria 
Publication title
Bulletin of the Transilvania University of Brasov. Mathematics, Informatics, Physics. Series III; Brasov
Volume
5
Issue
2
Pages
53-68
Number of pages
17
Publication year
2025
Publication date
2025
Publisher
Transilvania University of Brasov
Place of publication
Brasov
Country of publication
Romania
Publication subject
Mathematics
ISSN
20652151
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
DOI
https://doi.org/10.31926/but.mif.2025.5.67.2.4
ProQuest document ID
3223964682
Document URL
https://www.proquest.com/scholarly-journals/solutions-nonlocal-elliptic-equation-with/docview/3223964682/se-2?accountid=208611
Copyright
Copyright Transilvania University of Brasov 2025
Last updated
2025-06-25
Database
ProQuest One Academic