Search Results for author: Gareth Speight

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Regularity of Solutions to the Fractional Cheeger-Laplacian on Domains in Metric Spaces of Bounded Geometry

no code implementations17 Dec 2020 Sylvester Eriksson-Bique, Gianmarco Giovannardi, Riikka Korte, Nageswari Shanmugalingam, Gareth Speight

We study existence, uniqueness, and regularity properties of the Dirichlet problem related to fractional Dirichlet energy minimizers in a complete doubling metric measure space $(X, d_X,\mu_X)$ satisfying a $2$-Poincar\'e inequality.

Analysis of PDEs Metric Geometry Primary: 31E05, Secondary: 35A15, 50C25, 35J70

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