English

The moving plane method for doubly singular elliptic equations involving a first order term

Analysis of PDEs 2021-05-24 v1

Abstract

In this paper we deal with positive singular solutions to semilinear elliptic problems involving a first order term and a singular nonlinearity. Exploiting a fine adaptation of the well-known moving plane method of Alexandrov-Serrin and a careful choice of the cutoff functions, we deduce symmetry and monotonicity properties of the solutions.

Keywords

Cite

@article{arxiv.2105.09988,
  title  = {The moving plane method for doubly singular elliptic equations involving a first order term},
  author = {Francesco Esposito and Berardino Sciunzi},
  journal= {arXiv preprint arXiv:2105.09988},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1802.02809

R2 v1 2026-06-24T02:19:07.339Z