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Isoperimetric Inequalities in a Boundary Value Problem in an Unbounded Domain

by R. Sperb

(Report number 1993-07)

Abstract
In this paper a semilinear elliptic boundary value problem in the exterior of a finite domain is considered. An important example in applications is the Poisson-Boltzmann problem. Isoperimetric inequalities for a functional of the solution are proven using optimal sub- or supersolutions.

Keywords: Isoperimetric Inequalities, Poisson-Boltzmann Problem

@Techreport{S93_32,
  author = {R. Sperb},
  title = {Isoperimetric Inequalities in a Boundary Value Problem in an Unbounded Domain},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1993-07},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1993/1993-07.pdf },
  year = {1993}
}

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