Existence of Solutions for a Singular Double Phase Kirchhoff Type Problems Involving the Fractional q(x, .)-Laplacian Operator

In this paper, we consider a class of fractional Laplacian problems involving fractional q i ( x ) -laplacian operators ( i = 1 : 2 ) , and a singular nonlinearity. By using variational methods and monotonicity arguments combined with the theory of the generalized Lebesgue Sobolev spaces, we prove t...

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Bibliographic Details
Published in:Complex analysis and operator theory 2024-02, Vol.18 (2), Article 25
Main Authors: Chammem, Rym, Ghanmi, Abdeljabbar, Mechergui, Mahfoudh
Format: Article
Language:English
Subjects:
Analysis
Infinite-dimensional Analysis and Non-commutative Theory
Mathematics
Mathematics and Statistics
Operator Theory
Sobolev space
Variational methods
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Summary:In this paper, we consider a class of fractional Laplacian problems involving fractional q i ( x ) -laplacian operators ( i = 1 : 2 ) , and a singular nonlinearity. By using variational methods and monotonicity arguments combined with the theory of the generalized Lebesgue Sobolev spaces, we prove the existence of solutions for such problems. An illustrative example is presented to validate the main results of this paper.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-023-01470-5