MULTIPLICITY RESULTS FOR A KIRCHHOFF SINGULAR PROBLEM INVOLVING THE FRACTIONAL P-LAPLACIAN

Mounir Hsini

doi:10.11948/2156-907X.20180140

2019 Volume 9 Issue 3

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Mounir Hsini. MULTIPLICITY RESULTS FOR A KIRCHHOFF SINGULAR PROBLEM INVOLVING THE FRACTIONAL P-LAPLACIAN[J]. Journal of Applied Analysis & Computation, 2019, 9(3): 884-900. doi: 10.11948/2156-907X.20180140

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Mounir Hsini. MULTIPLICITY RESULTS FOR A KIRCHHOFF SINGULAR PROBLEM INVOLVING THE FRACTIONAL P-LAPLACIAN[J]. Journal of Applied Analysis & Computation, 2019, 9(3): 884-900. doi: 10.11948/2156-907X.20180140

MULTIPLICITY RESULTS FOR A KIRCHHOFF SINGULAR PROBLEM INVOLVING THE FRACTIONAL P-LAPLACIAN

Mounir Hsini^1, ,

Department of Mathematics, Elmanar University, Faculty of Sciences, Campus Universitaire 2092, Tunis, Tunisia

Corresponding author: Mounir Hsini, mounir.hsini@ipeit.rnu.tn

Abstract

Abstract

The aim of this paper is to study the multiplicity of solutions for a Kirchhoff singular problem involving the fractional p-Laplacian operator. Using the concentration compactness principle and Ekeland's variational principle, we obtain two positive weak solutions.
- Fractional p-Laplacian operator /
- multiple positive solutions /
- Fibering maps /
- Nehari manifold
MSC: 34B15, 37C25, 35R20

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References

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