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Report 1993-07
Isoperimetric Inequalities in a Boundary Value Problem in an Unbounded Domain
R. Sperb
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
Paper: Available as PDF (211 KB) or as hardcopy to order reports@sam.math.ethz.ch.
Publishing information: Inequalities & Applications. World Scientific Series in Analysis, Vol. 3, (1994), pp. 549-558
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