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Multiplicity of solutions for variable-order fractional Kirchhoff problem with singular term.
- Source :
- QM - Quaestiones Mathematicae; Aug2024, Vol. 47 Issue 8, p1613-1629, 17p
- Publication Year :
- 2024
-
Abstract
- In this paper, we consider a class of singular variable-order fractional Kirchhoff problem of the form: where is a bounded domain, is the variable-order fractional Laplacian operator, [u]<subscript>s(·)</subscript> is the Gagliardo seminorm and is a continuous and symmetric function. We assume that λ is a non-negative parameter, with and. We combine some variational techniques with a truncation argument in order to show the existence and the multiplicity of positive solutions to the above problem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16073606
- Volume :
- 47
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- QM - Quaestiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 178854995
- Full Text :
- https://doi.org/10.2989/16073606.2024.2329338