Symmetry theorems and uniform rectifiability

John L. Lewis; Andrew L. Vogel

doi:10.1155/2007/30190

Symmetry theorems and uniform rectifiability

John L. Lewis, Andrew L. Vogel

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

10 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 language	English (US)
Article number	30190
Journal	Boundary Value Problems
Volume	2007
DOIs	https://doi.org/10.1155/2007/30190
State	Published - 2007

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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title = "Symmetry theorems and uniform rectifiability",

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.",

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Symmetry theorems and uniform rectifiability

Abstract

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