English

Existence and uniqueness of solutions to some anisotropic elliptic equations with a singular convection term

Analysis of PDEs 2023-07-27 v2

Abstract

We prove the existence and uniqueness of weak solutions to a class of anisotropic elliptic equations with coefficients of convection term belonging to some suitable Marcinkiewicz spaces. Some useful a priori estimates and regularity results are also derived.

Keywords

Cite

@article{arxiv.2307.13564,
  title  = {Existence and uniqueness of solutions to some anisotropic elliptic equations with a singular convection term},
  author = {Giuseppina di Blasio and Filomena Feo and Gabriella Zecca},
  journal= {arXiv preprint arXiv:2307.13564},
  year   = {2023}
}