Multi-phase quadrature domains and a related minimization problem

DOI10.1007/s11118-016-9539-0zbMath1346.35237arXiv1511.02779OpenAlexW2234466012MaRDI QIDQ300443

Avetik Arakelyan, Henrik Shahgholian

Publication date: 28 June 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02779

zbMATH Keywords

free boundariesmulti-phase quadrature domains

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (3)

Two- and multi-phase quadrature surfaces ⋮ Uniqueness of a solution to a general class of discrete system defined on connected graphs ⋮ Convergence of the finite difference scheme for a general class of the spatial segregation of reaction-diffusion systems

Cites Work

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• Two-phase quadrature domains
• Some properties of two-phase quadrature domains
• A two phase free boundary problem related to quadrature domains
• Quadrature domains
• On quadrature domains and an inverse problem in potential theory
• The regularity of free boundaries in higher dimensions
• The Free Boundary of a Semilinear Elliptic Equation
• Applications of Variational Inequalities to the Existence Theorem on Quadrature Domains
• Quadrature Domains and Their Two-Phase Counterparts
• Harmonic balls and the two-phase Schwarz function
• A variational problem for the spatial segregation of reaction-diffusion systems

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