On Pacard's regularity for the equation $-Delta u = u^p$
It is shown that the singular set for a positive solution of the PDE $-Delta u = u^p$ has Hausdorff dimension less than or equal to $n - 2p'$, as conjectured by Pacard [12 in 1993.
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| Format: | Article |
| Language: | English |
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Texas State University
2012-08-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/125/abstr.html |