Gardiner, Stephen J.Stephen J.GardinerSjödin, TomasTomasSjödin2013-01-142013-01-142012 Sprin2012-01Journal D'Analyse Mathématique0021-7670http://hdl.handle.net/10197/4028Recent work on two-phase free boundary problems has led to the investigation of a new type of quadrature domain for harmonic functions. This paper develops a method of constructing such quadrature domains based on the technique of partial balayage, which has proved to be a useful tool in the study of one-phase quadrature domains and Hele-Shaw flows.enThe final publication is available at http://link.springer.com/article/10.1007%2Fs11854-012-0009-3Harmonic functionSuperharmonic functionQuadrature domainPartial balayageJournal Article116133535410.1007/s11854-012-0009-32012-11-16https://creativecommons.org/licenses/by-nc-nd/3.0/ie/