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Stable solutions of Δ u = f ( u ) in N

Louis DupaigneAlberto Farina — 2010

Journal of the European Mathematical Society

Several Liouville-type theorems are presented for stable solutions of the equation - Δ u = f ( u ) in N , where f > 0 is a general convex, nondecreasing function. Extensions to solutions which are merely stable outside a compact set are discussed.

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