English

Classification of solutions to $\Delta u = u^{-\gamma}$ in the half-space

Analysis of PDEs 2023-03-24 v1

Abstract

We provide a classification result for positive solutions to Δu=uγ\Delta u = u^{-\gamma} in the half space, under zero Dirichlet boundary condition.

Keywords

Cite

@article{arxiv.2303.13053,
  title  = {Classification of solutions to $\Delta u = u^{-\gamma}$ in the half-space},
  author = {Luigi Montoro and Luigi Muglia and Berardino Sciunzi},
  journal= {arXiv preprint arXiv:2303.13053},
  year   = {2023}
}