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Extension of two inequalities of Payne

by R. Sperb

(Report number 1997-01)

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.

Keywords: isoperimetric inequalities, Poisson problem

@Techreport{S97_206,
  author = {R. Sperb},
  title = {Extension of two inequalities of Payne},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1997-01},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1997/1997-01.pdf },
  year = {1997}
}

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