Multiple solutions for a singular fractional Kirchhoff problem
Authors
M. A. Alyami
- Department of Mathematics and Statistics, Faculty of Sciences, University of Jeddah, Jeddah, Saudi Arabia.
Abstract
In this manuscript, we employed some variational techniques to investigate the existence and the multiplicity of solutions for a fractional equation of Kirchhoff type governed by a non-local elliptic integro-differential operator. More precisely, we use the Mountain pass theorem to establish the existence of a solution for such a problem. Moreover, we use the symmetric version of the mountain pass theorem for even functional, to demonstrate the existence of infinitely many solutions. An example is presented at the end of this work to illustrate our main results.
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ISRP Style
M. A. Alyami, Multiple solutions for a singular fractional Kirchhoff problem, Journal of Mathematics and Computer Science, 39 (2025), no. 1, 1--10
AMA Style
Alyami M. A., Multiple solutions for a singular fractional Kirchhoff problem. J Math Comput SCI-JM. (2025); 39(1):1--10
Chicago/Turabian Style
Alyami, M. A.. "Multiple solutions for a singular fractional Kirchhoff problem." Journal of Mathematics and Computer Science, 39, no. 1 (2025): 1--10
Keywords
- Critical point
- Kirchhoff problems
- non-local operators
- variational methods
MSC
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