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

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

2008-06-03

arxiv.org/abs/0806.0492v2

Mathematics

Analysis of PDEs

Scientific paper

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.

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