Existence, Lipschitz regularity, unique continuation, nodal set estimates, and C^{1,α} free boundary regularity are proved for optimal torsional partitions and segregated configurations.
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Optimal partition and segregation problems driven by torsional rigidity
Existence, Lipschitz regularity, unique continuation, nodal set estimates, and C^{1,α} free boundary regularity are proved for optimal torsional partitions and segregated configurations.