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A transmission problem on \({\mathbb{R}^{2}}\) with critical exponential growth

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Abstract

In this work we prove the existence of a nontrivial solution for a transmission problem on \({\mathbb{R}^{2}}\) with critical exponential growth, that is, the nonlinearity behaves like exp(α0 s 2) as |s| → ∞, for some α0 > 0.

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Authors and Affiliations

  1. Faculdade de Matemática, Universidade Federal do Pará-UFPA, CEP 66075-110, Belém, PA, Brazil

    Giovany M. Figueiredo

  2. IMECC, Departamento de Matemática, Universidade Estadual de Campinas, CEP 13083-859, Campinas, SP, Brazil

    Marcelo Montenegro

Authors
  1. Giovany M. Figueiredo
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  2. Marcelo Montenegro
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Correspondence to Giovany M. Figueiredo.

Additional information

This work was completed with the supported by CNPq, FAPESP and CAPES.

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Figueiredo, G.M., Montenegro, M. A transmission problem on \({\mathbb{R}^{2}}\) with critical exponential growth. Arch. Math. 99, 271–279 (2012). https://doi.org/10.1007/s00013-012-0428-5

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  • DOI: https://doi.org/10.1007/s00013-012-0428-5

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