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Journal Articles Communications in Mathematical Physics Year : 1994

Solutions with high dimensional singular set, to a conformally invariant elliptic equation in R4 and in R6

F. Pacard
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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.

Dates and versions

hal-00779546 , version 1 (22-01-2013)

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F. Pacard. Solutions with high dimensional singular set, to a conformally invariant elliptic equation in R4 and in R6. Communications in Mathematical Physics, 1994, 159 (2), pp.423. ⟨10.1007/BF02102645⟩. ⟨hal-00779546⟩
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