arXiv:0806.0492 Abstract | arXiv Analytics

arXiv:0806.0492 [math.AP]Abstract References Reviews Resources

Stable solutions of $-Δu = f(u)$ in $\R^N$

Published 2008-06-03, updated 2008-06-17Version 2

The paper proves Liouville-type results for stable solutions of semilinear elliptic PDEs with convex nonlinearity, posed on the entire Euclidean space. Extensions to solutions which are stable outside a compact set are also presented.

Categories: math.AP

Keywords: stable solutions, entire euclidean space, semilinear elliptic pdes, liouville-type results, convex nonlinearity

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arXiv:0806.0492 [math.AP]Abstract References Reviews Resources

Stable solutions of $-Δu = f(u)$ in $\R^N$

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arXiv:0806.0492 [math.AP]AbstractReferencesReviewsResources

Stable solutions of $-Δu = f(u)$ in $\R^N$

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arXiv:0806.0492 [math.AP]Abstract References Reviews Resources