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Local superlinearity and sublinearity for indefinite semilinear elliptic problems

par de Figueiredo, Djairo G;Gossez, Jean-Pierre ;Ubilla, Pedro
Référence Journal of functional analysis, 199, 2, page (452-467)
Publication Publié, 2003-04

Article révisé par les pairs

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Résumé :

In this paper the usual notions of superlinearity and sublinearity for semilinear problems like -Δu = f(x,u) are given a local form and extended to indefinite nonlinearities. Here f(x, s) is allowed to change sign or to vanish for s near zero as well as for s near infinity. Some of the well-known results of Ambrosetti-Brézis-Cerami are partially extended to this context. © 2003 Elsevier Science (USA). All rights reserved.