Hilbert, D. On the Dirichlet principle. (Über das Dirichletsche Prinzip.) (German) JFM 35.0436.02 Math. Ann. 59, 161-186 (1904). Unveränderter Abdruck der Abhandlung, über die F. d. M. 32, 423 bis 425, 1901, JFM 32.0423.03 berichtet worden ist. Reviewer: Stäckel, Prof. (Hannover) Cited in 1 ReviewCited in 22 Documents MSC: 35J20 Variational methods for second-order elliptic equations JFM Section:Siebenter Abschnitt. Funktionentheorie. Kapitel 1. Allgemeines. Keywords:Dirichlet principle; Hilbert space; harmonic functions; direct method Citations:JFM 32.0423.03 PDFBibTeX XMLCite \textit{D. Hilbert}, Math. Ann. 59, 161--186 (1904; JFM 35.0436.02) Full Text: DOI EuDML References: [1] Jahresbericht der Deutschen Mathematiker-Vereinigung, VIII, 1900. · JFM 31.0671.01 [2] Eine neue Methode in der Variationsrechnung, Inauguraldissertation, Göttingen 1901. · JFM 32.0574.02 [3] Über den analytischen Charakter der Lösungen von Differentialgleichungen, Inauguraldissertation, Göttingen 1901, Kapitel V. · JFM 32.0311.06 [4] Bendixson, Öfversigt of kongl. Vetenskaps-Akademius Forhandlinger, Bd. 54, sowie Townsend, Begriff und Anwendung des Doppellimes, Inauguraldissertation, Göttingen 1900, S. 34. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.