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Positive Solutions for a Class of Nonlocal Problems Involving Lebesgue Generalized Spaces: Scalar and System Cases

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Abstract

In this work we prove the existence of positive solutions for a class of scalar nonlocal problems and systems of such equations. We use sub-supersolution method combined withfixed point arguments and apply the results to some concrete problems.

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Authors and Affiliations

  1. Faculdade de Matemáatica, Universidade Federal do Paráa, CEP: 66075-110, Belém - Pa, Brazil

    Gelson C. G. Dos Santos & Giovany M. Figueiredo

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

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Supported by CNPq/PQ, Capes and Fapesp.

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Dos Santos, G.C.G., Figueiredo, G.M. Positive Solutions for a Class of Nonlocal Problems Involving Lebesgue Generalized Spaces: Scalar and System Cases. J Elliptic Parabol Equ 2, 235–266 (2016). https://doi.org/10.1007/BF03377404

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  • DOI: https://doi.org/10.1007/BF03377404

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