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G. Arioli

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Preprint Sep 2026

Conformal Parametrisation of Star-Shaped Domains and Persistence of Semilinear Elliptic Solutions

We study the conformal parametrisation of smooth star-shaped planar domains and its dependence on perturbations of the boundary. The boundary correspondence of the normalized Riemann map is described by the Theodorsen equation, which we formulate in weighted Wiener algebras. We derive an explicit representation of the...

G. Arioli · 0 citations

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