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Local superlinearity and sublinearity for indefinite semilinear elliptic problems

In: Djairo G. de Figueiredo - Selected Papers

Author

Listed:
  • 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)

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.

Suggested Citation

  • Djairo G. De Figueiredo & Jean-Pierre Gossez & Pedro Ubilla, 2003. "Local superlinearity and sublinearity for indefinite semilinear elliptic problems," Springer Books, in: David G. Costa (ed.), Djairo G. de Figueiredo - Selected Papers, edition 127, pages 557-572, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-02856-9_36
    DOI: 10.1007/978-3-319-02856-9_36
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