most citedGradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients

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math.AP2025

The Poisson-Dirichlet problem in domains with Ahlfors regular boundary

Ariel Barton, Svitlana Mayboroda, Alberto Pacati

We present an announcement of some recent results concerning well-posedness of the Poisson-Dirichlet problem with boundary data in Besov spaces with fractional smoothness. This is…

math.AP2014★ 1 cited

Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients

Ariel Barton

We extend several well-known tools from the theory of second-order divergence-form elliptic equations to the case of higher-order equations. These tools are the Caccioppoli inequal…