Fractional p-Laplacian Kirchhoff-type problem involving a singular term via Nehari manifold

Djamel Abid

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arXiv · 2510.07911

Fractional p-Laplacian Kirchhoff-type problem involving a singular term via Nehari manifold

Djamel Abid

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Abstract

This paper is dedicated to studying the existence of nontrivial positive solutions for a Kirchhoff-type problem with sign change nonlinearities and a singular term, Using the Nehari manifold and EkelandS variational principle we prove that for the appropriate choice of {\lambda} our problem has at least two positive solutions for both subcritical and critical cases.

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Djamel Abid. 2025-10-09. Fractional p-Laplacian Kirchhoff-type problem involving a singular term via Nehari manifold. https://arxiv.org/abs/2510.07911

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