On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method

  • Claudianor O. Alves
  • Giovany M. Figueiredo
  • Rúbia G. Nascimento


In the present paper, we establish existence and concentration of positive solution for a class of elliptic problems in \({\mathbb{R}^{N}}\) whose nonlinearity is discontinuous.

Mathematics Subject Classification (2000)

35A15 35J25 34A36 


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Copyright information

© Springer Basel 2013

Authors and Affiliations

  • Claudianor O. Alves
    • 1
  • Giovany M. Figueiredo
    • 2
  • Rúbia G. Nascimento
    • 2
  1. 1.Departamento de Matemática e EstatísticaUniversidade Federal de Campina GrandeCampina GrandeBrazil
  2. 2.Departamento de MatemáticaUniversidade Federal do ParáBelémBrazil

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