English

On a singular Robin problem with convection terms

Analysis of PDEs 2019-09-24 v1

Abstract

In this paper, the existence of smooth positive solutions to a Robin boundary-value problem with non-homogeneous differential operator and reaction given by a nonlinear convection term plus a singular one is established. Proofs chiefly exploit sub-super-solution and truncation techniques, set-valued analysis, recursive methods, nonlinear regularity theory, as well as fixed point arguments. A uniqueness result is also presented.

Keywords

Cite

@article{arxiv.1909.09834,
  title  = {On a singular Robin problem with convection terms},
  author = {Umberto Guarnotta and Salvatore A. Marano and Dumitru Motreanu},
  journal= {arXiv preprint arXiv:1909.09834},
  year   = {2019}
}
R2 v1 2026-06-23T11:22:11.949Z