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Subharmonic Functions and the Dirichlet Problem

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Abstract

In this chapter we introduce and study subharmonic functions and use them to solve the Dirichlet problem for harmonic functions (on reasonable domains). We shall indicate some other applications of these functions at the end of the chapter.

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Narasimhan, R., Nievergelt, Y. (2001). Subharmonic Functions and the Dirichlet Problem. In: Complex Analysis in One Variable. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0175-5_11

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  • DOI: https://doi.org/10.1007/978-1-4612-0175-5_11

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6647-1

  • Online ISBN: 978-1-4612-0175-5

  • eBook Packages: Springer Book Archive

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