English

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

Analysis of PDEs 2025-10-10 v1

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.

Keywords

Cite

@article{arxiv.2510.07911,
  title  = {Fractional p-Laplacian Kirchhoff-type problem involving a singular term via Nehari manifold},
  author = {Djamel Abid},
  journal= {arXiv preprint arXiv:2510.07911},
  year   = {2025}
}