ON THE NON-UNIQUENESS OF ELASTIC ROTATIONS FOR DEFORMATIONS OF MATERIALS WITH ELASTIC RANGE by David R. Owen In this note precise definitions of the concepts of permanent deformation, annealed state, and non-softening material are used to establish non-uniqueness of elastic rotations for deformations of certain materials with elastic range. ON THE NON-UNIQUENESS OF ELASTIC ROTATIONS FOR DEFORMA...

Uniqueness in inverse conductivity and scattering problems is considered. In case the medium consists of two discontinuous constant anisotropic conductive parts, the measurements of potential and induced currents on the boundary of surrounding body are enough to guarantee uniqueness to determine conductivity and region of embedded unknown material under a very weak condition. The analogous uniq...

This article deals with linear complementarity problems over symmetric cones. Our objective here is to characterize global uniqueness and solvability properties for linear transformations that leave the symmetric cone invariant. Specifically, we show that, for algebra automorphisms on the Lorentz space Ln and for quadratic representations on any Euclidean Jordan algebra, global uniqueness, glob...

We prove that the electromagnetic material parameters are uniquely determined by boundary measurements for the time-harmonic Maxwell equations in certain anisotropic settings. We give a uniqueness result in the inverse problem for Maxwell equations on an admissible Riemannian manifold, and a uniqueness result for Maxwell equations in Euclidean space with admissible matrix coefficients. The proo...

A comprehensive study of percolation in a more general context than the usual Z d setting is proposed, with particular focus on Cayley graphs, almost transitive graphs, and planar graphs. Results concerning uniqueness of innnite clusters and inequalities for the critical value p c are given, and a simple planar example exhibiting uniqueness and non-uniqueness for diierent p > p c is analyzed. N...

A comprehensive study of percolation in a more general context than the usual Z d setting is proposed, with particular focus on Cayley graphs, almost transitive graphs, and planar graphs. Results concerning uniqueness of infinite clusters and inequalities for the critical value pc are given, and a simple planar example exhibiting uniqueness and non-uniqueness for different p > pc is analyzed. N...