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Currently displaying 1 – 3 of 3

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Stable solutions of $- Δ u = f (u)$ in $ℝ^{N}$

Louis Dupaigne; Alberto 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 $ℝ^{N}$ , where $f > 0$ is a general convex, nondecreasing function. Extensions to solutions which are merely stable outside a compact set are discussed.

Hardy-type inequalities

Juan Dávila; Louis Dupaigne — 2004

Journal of the European Mathematical Society

Boundary blow-up solutions of cooperative systems

Juan Dávila; Louis Dupaigne; Olivier Goubet; Salomé Martínez — 2009

Annales de l'I.H.P. Analyse non linéaire

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