Superlinear Equations Involving Nonlinearities Limited by Asymptotically Homogeneous Functions

  • Sebastián Lorca
  • Marco Aurelio Souto
  • Pedro Ubilla
Open Access
Research Article


We obtain a solution of the quasilinear equation Open image in new window in Open image in new window , Open image in new window , on Open image in new window . Here the nonlinearity Open image in new window is superlinear at zero, and it is located near infinity between two functions that belong to a class of functions where the Ambrosetti-Rabinowitz condition is satisfied. More precisely, we consider the class of functions that are asymptotically homogeneous of index Open image in new window .


Homogeneous Function Quasilinear Equation Nonlinearity Limited Asymptotically Homogeneous Equation Involve 
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Copyright information

© Sebastiáan Lorca et al. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  • Sebastián Lorca
    • 1
  • Marco Aurelio Souto
    • 2
  • Pedro Ubilla
    • 3
  1. 1.Instituto de Alta InvestigaciónUniversidad de TarapacáAricaChile
  2. 2.Departamento de Matemática e EstatísticaUniversidade Federal de Campina GrandeCampina GrandeBrazil
  3. 3.Departamento de Matemáticas y Ciencias de la ComputaciónUniversidad de Santiago de ChileSantiagoChile

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