Equilibrium measures and partial balayage

2013/09/20 by Joakim Roos, Roos, Joakim
Mathematics · Physics and Astronomy · #31A05 (Primary) #35R35 (Secondary) #Complex Variables (math.CV) #FOS: Mathematics #Nonlinear Partial Differential Equations #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math.CV #msc:31A05 #msc:35R35

paper · pdf · doi:10.48550/arxiv.1309.5252

19 pages, 2 figures

arxiv created 2013/09/20 · openalex publication_date 2013/09/20 · arxiv updated 2013/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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