Solutions with high dimensional singular set, to a conformally invariant elliptic equation in R4 and in R6
Abstract
We construct positive weak solutions to the equation {Mathematical expression}, where -?0 denotes the conformal Laplacian on the n-sphere (n=4, 6), having singular sets of Hausdorff dimension greater than or equal to {Mathematical expression}. © 1994 Springer-Verlag.