Subharmonic Functions and the Dirichlet Problem

Raghavan Narasimhan and Yves Nievergelt
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Raghavan Narasimhan: University of Chicago, Department of Mathematics
Yves Nievergelt: Eastern Washington University, Department of Mathematics

Chapter Chapter 11 in Complex Analysis in One Variable, 2001, pp 209-252 from Springer

Abstract: 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.

Keywords: Harmonic Function; Riemann Surface; Convex Function; Compact Subset; Maximum Principle (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0175-5_11

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DOI: 10.1007/978-1-4612-0175-5_11

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