Trees as set levels for pseudoharmonic functions in the plane. II

  • E. O. Polulyakh

Abstract

Let $T$ be a forest formed by finitely many locally finite trees. Let $V_0$ be the set of all vertices of $T$ of degree 1. We propose a sufficient condition for the image of an embedding $\Psi : T \setminus V_0 \rightarrow R^2$ to be a level set of a pseudoharmonic function.
Published
25.02.2016
How to Cite
PolulyakhE. O. “Trees As Set Levels for Pseudoharmonic Functions in the Plane. II”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, no. 2, Feb. 2016, pp. 254-70, http://umj.imath.kiev.ua/index.php/umj/article/view/1838.
Section
Research articles