On Dirichlet's principle and Poincaré's méthode de balayage
Stefan Hildebrandt · Mathematische Nachrichten · 2004
Abstract A short proof is given for the fact that the minimizer of Dirichlet's integral continuously assumes continuous boundary values at regular boundary points. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)