Abstract
Dirichlet’s principle consists in constructing harmonic functions by minimizing the Dirichlet integral in an appropriate class of functions. This idea is generalized, and minimizers of variational integrals are weak solutions of the associated differential equations of Euler and Lagrange. Several examples are discussed.
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© 1998 Springer-Verlag Berlin Heidelberg
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Jost, J. (1998). Variational Principles and Partial Differential Equations. In: Postmodern Analysis. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03635-8_23
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DOI: https://doi.org/10.1007/978-3-662-03635-8_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63485-0
Online ISBN: 978-3-662-03635-8
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