Publication Cover
Applicable Analysis
An International Journal
Volume 54, 1994 - Issue 1-2
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Original Articles

Breaking of symmetry in poisson equation

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Pages 113-134 | Received 12 Nov 1992, Published online: 02 May 2007
 

Abstract

Let Uƒ be the solution, which vanishes at infinity, of the Poisson equation on Rn. Assume that the decreasing rearrangement of ƒ is assigned. contrary to the case , we show that, at least for p>3 does not necessarily reach its maximum when ƒ is spherically symmetric.

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