English

Least energy sign-changing solution of fractional $p$-Laplacian problems involving singularities

Analysis of PDEs 2021-08-26 v1

Abstract

In this paper we study the existence of a least energy sign-changing solution to a nonlocal elliptic PDE involving singularity by using the Nehari manifold method, the constraint variational method and Brouwer degree theory.

Keywords

Cite

@article{arxiv.1906.02225,
  title  = {Least energy sign-changing solution of fractional $p$-Laplacian problems involving singularities},
  author = {Sekhar Ghosh and Kamel Saoudi and Mouna Kratou and Debajyoti Choudhuri},
  journal= {arXiv preprint arXiv:1906.02225},
  year   = {2021}
}