English

On a fractional $p$-Laplacian problem in the whole space and with singular reaction

Analysis of PDEs 2026-05-28 v1

Abstract

The existence of positive, pointwise decaying at infinity, weak solutions to a fractional pp-Laplacian problem in the whole space and with singular reaction is established. Truncation arguments, variational methods, as well as suitable a priori estimates are exploited.

Keywords

Cite

@article{arxiv.2605.28638,
  title  = {On a fractional $p$-Laplacian problem in the whole space and with singular reaction},
  author = {Laura Gambera and Salvatore A. Marano},
  journal= {arXiv preprint arXiv:2605.28638},
  year   = {2026}
}