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Symmetry Theorems and Uniform Rectifiability
Boundary Value Problems volume 2007, Article number: 030190 (2006)
Abstract
We study overdetermined boundary conditions for positive solutions to some elliptic partial differential equations of-Laplacian type in a bounded domain
. We show that these conditions imply uniform rectifiability of
and also that they yield the solution to certain symmetry problems.
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Lewis, J.L., Vogel, A.L. Symmetry Theorems and Uniform Rectifiability. Bound Value Probl 2007, 030190 (2006). https://doi.org/10.1155/2007/30190
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DOI: https://doi.org/10.1155/2007/30190
Keywords
- Boundary Condition
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation