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On positive solutions for a class of quasilinear elliptic systems

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Abstract

We investigate the existence and properties of solutions for a class of systems of Dirichlet problems involving the perturbed phi-Laplace operators. We apply variational methods associated with the Fenchel conjugate. Our results cover both sublinear and superlinear cases of nonlinearities.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal da Paraíba, 58059-900, João Pessoa–PB, Brazil

    João Marcos do Ó

  2. Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238, Lodz, Poland

    Aleksandra Orpel

Authors
  1. João Marcos do Ó
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  2. Aleksandra Orpel
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Correspondence to Aleksandra Orpel.

Additional information

Research partially supported by the National Institute of Science and Technology of Mathematics INCT-Mat, CAPES and CNPq/Brazil grants 307400/2009-3 and 620108/2008-8.

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do Ó, J.M., Orpel, A. On positive solutions for a class of quasilinear elliptic systems. Acta Math Hung 132, 316–338 (2011). https://doi.org/10.1007/s10474-011-0115-1

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  • DOI: https://doi.org/10.1007/s10474-011-0115-1

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