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Solutions for a Kirchhoff equation with critical Caffarelli–Kohn–Nirenberg growth and discontinuous nonlinearity

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Abstract

In this paper, we study the existence of nonegative solutions to a class of nonlinear boundary value problems of the Kirchhoff type. We prove existence results when the problem has discontinuous nonlinearity and critical Caffarelli–Kohn–Nirenberg growth.

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Authors and Affiliations

  1. Secretaria de educação do Estado do Pará - Seduc, Belém, PA, CEP. 6075-110, Brazil

    Gelson G. dos Santos

  2. Departamento de Matemática, Universidade de Brasilia - UNB, Brasília, DF, CEP. 70910-900, Brazil

    Giovany M. Figueiredo

Authors
  1. Gelson G. dos Santos
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  2. Giovany M. Figueiredo
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Correspondence to Giovany M. Figueiredo.

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dos Santos, G.G., Figueiredo, G.M. Solutions for a Kirchhoff equation with critical Caffarelli–Kohn–Nirenberg growth and discontinuous nonlinearity. Z. Angew. Math. Phys. 69, 75 (2018). https://doi.org/10.1007/s00033-018-0966-1

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  • DOI: https://doi.org/10.1007/s00033-018-0966-1

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