Jon Bevan’s article “On double-covering stationary points of a constrained Dirichlet energy” has been accepted for publication in the journal: Annales de l’Institut Henri Poincare (C) Non Linear Analysis. The paper examines the conjecture that u_{dc} is the global minimizer of the Dirichlet energy among all W12 mappings u of the unit ball in R^2 satisfying (i) u=u_{dc} on the boundary, and (ii) the determinant of the gradient is one almost everywhere.  The paper has appeared online here.