Accepted Paper
Inserted: 26 nov 2010
Last Updated: 12 may 2011
Journal: Journal of Functional Analysis
Year: 2010
Abstract:
We prove regularity and partial regularity results for finite Morse index solutions $u\in H^1(\Omega)\cap L^p(\Omega)$ to the Lane-Emden equation $-\Delta u = \vert u\vert^{p-1}u$ in $\Omega$.
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