English

A Generalized CR equation with isolated singularities

Analysis of PDEs 2022-06-06 v2 Complex Variables

Abstract

The generalized CR equation uzˉ=au+buˉ+fu_{\bar{z}}=au+b\bar{u}+f is studied when the coefficients aa and bb have a finite number of singular points inside the domain. Solutions are constructed via the study of an associated integral operator and the existence of nontrivial solutions of the associated homogeneous equation is established.

Cite

@article{arxiv.2111.11484,
  title  = {A Generalized CR equation with isolated singularities},
  author = {B. de Lessa Victor and Adbelhamid Meziani},
  journal= {arXiv preprint arXiv:2111.11484},
  year   = {2022}
}
R2 v1 2026-06-24T07:47:59.945Z