Local superlinearity and sublinearity for indefinite semilinear elliptic problems

Djairo G. De Figueiredo, Jean-Pierre Gossez and Pedro Ubilla
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Djairo G. De Figueiredo: IMECC UNICAMP
Jean-Pierre Gossez: Universite′ Libre de Bruxelles, De′partement de Mathe′matique
Pedro Ubilla: Universidad de Santiago de Chile, Departamento de Matema′ticas y C. C

A chapter in Djairo G. de Figueiredo - Selected Papers, 2003, pp 557-572 from Springer

Abstract: Abstract In this paper the usual notions of superlinearity and sublinearity for semilinear problems like _Du ¼ f ðx; uÞ are given a local form and extended to indefinite nonlinearities. Here f ðx; sÞ 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–Bre′zis–Cerami are partially extended to this context.

Keywords: Superlinearity; Sublinearity; Indefinite nonlinearity; Concave–convex nonlinearity; Semilinear elliptic problem (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-02856-9_36

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DOI: 10.1007/978-3-319-02856-9_36

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