English

On elliptic problems with Choquard term and singular nonlinearity

Analysis of PDEs 2023-05-09 v1 Functional Analysis

Abstract

Using variational methods, we establish the existence of infinitely many solutions to an elliptic problem driven by a Choquard term and a singular nonlinearity. We further show that if the problem has a positive solution, then it is bounded a.e. in the domain Ω\Omega and is H\"{o}lder continuous.

Keywords

Cite

@article{arxiv.2305.03974,
  title  = {On elliptic problems with Choquard term and singular nonlinearity},
  author = {Debajyoti Choudhuri and Dušan D. Repovš and Kamel Saoudi},
  journal= {arXiv preprint arXiv:2305.03974},
  year   = {2023}
}
R2 v1 2026-06-28T10:27:35.208Z