Calculus of Variations and Geometric Measure Theory
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J. Davila - L. Dupaigne - A. Farina

Partial regularity of finite Morse index solutions to the Lane-Emden equation

created by farina on 26 Nov 2010
modified on 12 May 2011

[BibTeX]

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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