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Abstract
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Journal of Inequalities and Applications 
Volume 1 (1997), Issue 2, Pages 165-170
doi:10.1155/S1025583497000118

Extension of two inequalities of payne

R. Sperb

Seminar für Angewandte Mathematik, ETH Zürich, Switzerland

Received 22 August 1996

Abstract

In this note isoperimetric bounds are derived for the maximum of the solution to the Poisson problem for a plane domain. This extends previous bounds of Payne valid for the torsion problem.