Symmetry theorems and uniform rectifiability

John L. Lewis, Andrew L. Vogel

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

We study overdetermined boundary conditions for positive solutions to some elliptic partial differential equations of p-Laplacian type in a bounded domain D. We show that these conditions imply uniform rectifiability of ∂D and also that they yield the solution to certain symmetry problems.

Original languageEnglish (US)
Article number30190
JournalBoundary Value Problems
Volume2007
DOIs
StatePublished - Dec 1 2007

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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