%0 Journal Article %T Symmetry Theorems and Uniform Rectifiability %A John L. Lewis %A Andrew L. Vogel %J Boundary Value Problems %D 2006 %I Springer %R 10.1155/2007/30190 %X 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 бщ D and also that they yield the solution to certain symmetry problems. %U http://dx.doi.org/10.1155/2007/30190