Stable solutions of $-Delta u =fu$ in $mathbb R^N$Report as inadecuate

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1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

Abstract : 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.

Author: Louis Dupaigne - Alberto Farina -



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