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Existence and a priori estimates for positive solutions of p-laplace systems

par Azizieh, Céline ;Clément, Philippe;Mitidieri, Enzo
Référence Journal of differential equations, 184, 2, page (422-442)
Publication Publié, 2002-09

Article révisé par les pairs

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Résumé :

We use continuation and moving hyperplane methods to prove some existence and a priori estimates for p-Laplace systems of the form { - Δp1 u = f( v ) in Ω, u = 0 on ∂Ω, { - Δp2 v = g( u ) in Ω, v = 0 on ∂Ω, where 1 (p1 - 1)(p2 - 1). We extend results obtained in Azizieh and Clément (J. Differential Equations, 179 (2002), 213-245) where the case of a single equation was considered. © 2002 Elsevier Science (USA).