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Part of the book series: Publications of the Scuola Normale Superiore ((LNSNS))

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Abstract

Let us recall a few simple facts concerning the geometry of Hilbert spaces, see e.g. [47]. We will use them to solve the Dirichlet problem for the Laplace equation (1.1) or more general linear equations and systems.

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© 2012 Scuola Normale Superiore Pisa

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Giaquinta, M., Martinazzi, L. (2012). Hilbert space methods. In: An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs. Publications of the Scuola Normale Superiore. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-443-4_3

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