English

Equilibrium measures and partial balayage

Complex Variables 2013-09-23 v1

Abstract

We consider the equilibrium problem for an external background potential in weighted potential theory, and show that for a large class of background potentials there is a complementarity relationship between the measure solving the weighted equilibrium problem - the weighted equilibrium measure - and a certain partial balayage measure.

Cite

@article{arxiv.1309.5252,
  title  = {Equilibrium measures and partial balayage},
  author = {Joakim Roos},
  journal= {arXiv preprint arXiv:1309.5252},
  year   = {2013}
}

Comments

19 pages, 2 figures

R2 v1 2026-06-22T01:30:56.318Z