A two phase free boundary problem related to quadrature domains

DOI10.1007/s11118-010-9184-yzbMath1216.35161OpenAlexW2061278320MaRDI QIDQ623469

Jyotshana V. Prajapat, Henrik Shahgholian, Behrouz Emamizadeh

Publication date: 14 February 2011

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

Full work available at URL: https://doi.org/10.1007/s11118-010-9184-y

zbMATH Keywords

quadrature domain theorytwo phase version free boundary

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35) Symmetries, invariants, etc. in context of PDEs (35B06) PDEs with measure (35R06)

Related Items (12)

An elliptic optimal control problem and its two relaxations ⋮ Multi-phase quadrature domains and a related minimization problem ⋮ Harmonic balls and the two-phase Schwarz function ⋮ Two-phase quadrature domains ⋮ Two- and multi-phase quadrature surfaces ⋮ On a two-phase Hele-Shaw problem with a time-dependent gap and distributions of sinks and sources ⋮ A two-phase parabolic free boundary problem with coefficients below the Lipschitz threshold ⋮ On a two-fluid Hele-Shaw problem with an elliptical interface ⋮ Some properties of two-phase quadrature domains ⋮ Exact solutions to a Muskat problem with line distributions of sinks and sources ⋮ The Shape Control of a Growing Air Bubble in a Hele--Shaw Cell ⋮ Quadrature Domains and Their Two-Phase Counterparts

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