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Nontrivial periodic solutions to the one-phase free boundary problem

Basulto, José et al.
arXiv (All) · Papers
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35j25analysis-of-pdesdifferential-geometry
We construct new classical global solutions of the one-phase Bernoulli free boundary problem in $\mathbb{R}^3$ whose positive phases are periodic perturbations of the product of the Hauswirth--Hélein--Pacard double hairpin domain with a line. In contrast with previous constructions of undulating cyl
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