A characterization of balls using the domain derivative

Andriy Didenko, Behrouz Emamizadeh

Research output: Journal PublicationArticlepeer-review

3 Citations (Scopus)

Abstract

In this note we give a characterization of balls in ℝN using the domain derivative. As a byproduct we will show that an overdetermined Stekloff eigenvalue problem is solvable if and only if the domain of interest is a ball.

Original languageEnglish
Pages (from-to)1-5
Number of pages5
JournalElectronic Journal of Differential Equations
Volume2006
Publication statusPublished - 14 Dec 2006
Externally publishedYes

Keywords

  • Domain derivative
  • Overdetermined problems
  • Stekloff problem

ASJC Scopus subject areas

  • Analysis

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