English

Existence of positive solution for a singular elliptic problem with an asymptotically linear nonlinearity

Analysis of PDEs 2020-11-18 v1

Abstract

In this paper we consider the existence of positive solutions for a singular elliptic problem involving an asymtotically linear nonlinearity and depending on one positive parameter. Using variational methods, together with comparison techniques, we show the existence, uniqueness, non-existence and regularity of the solutions. We also obtain a bifurcation-type result.

Keywords

Cite

@article{arxiv.1912.09615,
  title  = {Existence of positive solution for a singular elliptic problem with an asymptotically linear nonlinearity},
  author = {Ricardo Lima Alves},
  journal= {arXiv preprint arXiv:1912.09615},
  year   = {2020}
}
R2 v1 2026-06-23T12:51:56.458Z