Multiphase quadrature domains exist and are unique under sufficient conditions via constrained minimization of an energy functional over segregated states, with an example showing that energy minimization and partial balayage are not equivalent in the two-phase case.
Indiana Univ
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
fields
math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Minimizers of the multiphase vectorial Bernoulli functional exist, are locally Lipschitz, avoid triple points on the free boundary, and have C^{1,η} regularity near two-phase and branching points.
citing papers explorer
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Multiphase quadrature domains (existence and uniqueness)
Multiphase quadrature domains exist and are unique under sufficient conditions via constrained minimization of an energy functional over segregated states, with an example showing that energy minimization and partial balayage are not equivalent in the two-phase case.
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On a Multiphase Vectorial Bernoulli Free Boundary Problem
Minimizers of the multiphase vectorial Bernoulli functional exist, are locally Lipschitz, avoid triple points on the free boundary, and have C^{1,η} regularity near two-phase and branching points.