Solutions With High-Dimensional Singular Set, To A Conformally Invariant Elliptic Equation In R(4) And In R(6) - Pacard, F. (Communications in Mathematical Physics, 1994)
We construct positive weak solutions to the equation -DELTA0upsilon = upsilon(n+2/n-2), where -DELTA0 denotes the conformal Laplacian on the n-sphere (n = 4,6), having singular sets of Hausdorff dimension greater than or equal to n-2/2.
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