Multi-Phase Quadrature Domains and a Related Minimization Problem
2016 (English)In: Potential Analysis, ISSN 0926-2601, E-ISSN 1572-929X, 1-21 p.Article in journal (Refereed) PublishedText
In this paper we introduce the multi-phase version of the so-called Quadrature Domains (QD), which refers to a generalized type of mean value property for harmonic functions. The well-established and developed theory of one-phase QD was recently generalized to a two-phase version, by one of the current authors (in collaboration). Here we introduce the concept of the multi-phase version of the problem, and prove existence as well as several properties of such solutions. In particular, we discuss possibilities of multi-junction points.
Place, publisher, year, edition, pages
Springer Netherlands, 2016. 1-21 p.
Free boundaries, Multi-phase quadrature domains
IdentifiersURN: urn:nbn:se:kth:diva-188317DOI: 10.1007/s11118-016-9539-0ISI: 000378557400007ScopusID: 2-s2.0-84955612588OAI: oai:DiVA.org:kth-188317DiVA: diva2:934917
QC 201606092016-06-092016-06-092016-07-26Bibliographically approved