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Open AccessJournal ArticleDOI

A maximum principle with applications to subharmonic functions in n-space

Ronald Gariepy, +1 more
- 01 Dec 1974 - 
- Vol. 12, Iss: 1, pp 253-266
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This article is published in Arkiv för Matematik.The article was published on 1974-12-01 and is currently open access. It has received 8 citations till now. The article focuses on the topics: Subharmonic function & Maximum principle.

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Citations
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Book ChapterDOI

Some topics in symmetrization

TL;DR: In this article, the surface area measure on Sn-l is defined in the spherical shell A(R 1, R 2 ) = (x ffin:R1 < Ixl < R2) its spherical symmetrization o = uo(r,O) is defined by symmetrizing on each sphere Ix l = r, R1 < r < R 2"
Journal ArticleDOI

Symmetrization and currents

TL;DR: Recently, the concept of Schwarz symmetrization for Borel functions gained new interest from its possible applications in the field of elliptic partial differential equations (see [S1, S2, HI, T1, T2, HY1, HY2, GL1, GL2]).
Journal ArticleDOI

General páley problem

TL;DR: In this article, an exact upper bound for finite lower-order subharmonic functions of finite lower order subharmonics in ℝ p+2,p ∈ ℕ was established for the class of functions where T(r, u) is a Nevanlinna characteristic of the function.
References
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Book

Geometric Measure Theory

TL;DR: In this article, Grassmann algebras of a vectorspace have been studied in the context of the calculus of variations, and a glossary of some standard notations has been provided.
Journal ArticleDOI

Symmetrization of rings in space

TL;DR: In this article, the Grötzsch and Teichmüller rings are used to estimate mod R' either by means of the space analogues of the GR and TEICHMÞ rings or by using spherical annuli.