A topological approach to an elliptic problem

Debajyoti Choudhuri; Vikas Jaiswal

A topological approach to an elliptic problem

Analysis of PDEs 2026-07-02 v1

Authors: Debajyoti Choudhuri , Vikas Jaiswal

Abstract

In this paper, we study an elliptic problem involving a $p$ -Laplacian operator and a potential well which is driven by a critical and singular nonlinearity. Under the limiting case of a parameter blowing up to $\infty$ yields solutions to a different problem where the effect of the potential well becomes negligible.

Cite

@article{arxiv.2607.01950,
  title  = {A topological approach to an elliptic problem},
  author = {Debajyoti Choudhuri and Vikas Jaiswal},
  journal= {arXiv preprint arXiv:2607.01950},
  year   = {2026}
}