Esther Cabezas-Rivas

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math.AP2026

Lipschitz regularity for manifold-constrained ROF elliptic systems

Esther Cabezas-Rivas, Salvador Moll, Vicent PallardÃ³-JuliÃ

We study a generalization of the manifold-valued Rudin-Osher-Fatemi (ROF) model, which involves an initial datum $f$ mapping from a curved compact surface with smooth boundary to a…

math.AP2024

Weak solutions of Anisotropic (and crystalline) inverse mean curvature flow as limits of $p$ -capacitary potentials

Esther Cabezas-Rivas, Salvador Moll, Marcos Solera

We construct weak solutions of the anisotropic inverse mean curvature flow (A-IMCF) under very mild assumptions both on the anisotropy (which is simply a norm in $R^{N}$ with…

Lipschitz regularity for manifold-constrained ROF elliptic systems

Weak solutions of Anisotropic (and crystalline) inverse mean curvature flow as limits of p-capacitary potentials

Weak solutions of Anisotropic (and crystalline) inverse mean curvature flow as limits of $p$ -capacitary potentials