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

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Abstract

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.

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Authors and Affiliations

  1. Departamento de Matemática e Estatística, Universidade Federal de Campina Grande, Campina Grande, PB, CEP: 58429-900, Brazil

    Claudianor O. Alves

  2. Departamento de Matemática, Universidade Federal do Pará, Belém, PA, CEP: 66075-110, Brazil

    Giovany M. Figueiredo & Rúbia G. Nascimento

Authors
  1. Claudianor O. Alves
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  2. Giovany M. Figueiredo
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  3. Rúbia G. Nascimento
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Corresponding author

Correspondence to Giovany M. Figueiredo.

Additional information

C. O. Alves was partially supported by INCT-MAT, PROCAD, CNPq/Brazil 620150/2008-4 and 303080/2009-4. Giovany M. Figueiredo: Supported by CNPq/PQ 300705/2008-5.

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Alves, C.O., Figueiredo, G.M. & Nascimento, R.G. On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method. Z. Angew. Math. Phys. 65, 19–40 (2014). https://doi.org/10.1007/s00033-013-0316-2

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  • DOI: https://doi.org/10.1007/s00033-013-0316-2

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