English

Solutions of Pascali systems attached to convex boundaries

Complex Variables 2025-01-09 v2

Abstract

Given a bounded strictly convex domain ΩC\Omega\Subset \mathbb{C} and a point qΩq\in \Omega we construct a continuous solution of the Pascali-type elliptic system of differential equations that is centered in qq, maps the unit disc into Ω\Omega and the unit circle into Ω\partial \Omega.

Keywords

Cite

@article{arxiv.2403.14170,
  title  = {Solutions of Pascali systems attached to convex boundaries},
  author = {Barbara Drinovec Drnovšek and Uroš Kuzman},
  journal= {arXiv preprint arXiv:2403.14170},
  year   = {2025}
}

Comments

To appear in Complex Variables and Elliptic Equations