no code implementations • 17 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
no code implementations • 3 Dec 2020 • Sylvester Eriksson-Bique
The techniques are flexible and suggest a unification of a variety of existing literature on the topic.
Classical Analysis and ODEs Primary 46E35, Secondary 30L99, 26B30, 28A12
