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Mattia Luchese

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Preprint Sep 2026

Perturbative Schauder Estimates for $Q$-Valued Quasilinear Elliptic Systems and a Sharp Dimension Bound for Branch Sets of Stationary Graphs

We establish a priori interior $C^{1,\alpha}$ and $C^{2,\alpha}$ Schauder estimates for a class of $Q$-valued quasilinear elliptic systems which are perturbations of the Laplace system, for arbitrary multiplicity $Q$, domain dimension $n\geq2$, and target dimension $k$. The $C^{1,\alpha}$ estimate generalises the work...

Mattia Luchese · 0 citations

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