Abstract
Just as the Riemann integral of a function on a finite interval can be defined using lower and upper approximating sums, a solution to the Dirichlet problem can be constructed by using lower and upper functions called subharmonic and superharmonic functions, respectively.
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© 2009 Springer-Verlag London Limited
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Helms, L.L. (2009). The Dirichlet Problem. In: Helms, L.L. (eds) Potential Theory. Universitext. Springer, London. https://doi.org/10.1007/978-1-84882-319-8_3
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DOI: https://doi.org/10.1007/978-1-84882-319-8_3
Publisher Name: Springer, London
Print ISBN: 978-1-84882-318-1
Online ISBN: 978-1-84882-319-8
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