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Multiple Solutions for Nonvariational Quasilinear Elliptic Systems

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Abstract

We establish the existence of at least three nontrivial solutions for a nonvariational quasilinear elliptic system with homogeneous Dirichlet boundary condition. Two of these solutions are of opposite constant sign and the third one is nodal in an appropriate sense provided that a suitable location occurs. The approach combines the methods of sub-supersolution and Leray–Schauder topological degree.

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Authors and Affiliations

  1. Département de Mathématiques, Université de Perpignan, 66860, Perpignan, France

    Dumitru Motreanu

  2. Biology Department, A. Mira Bejaia University, Targa Ouzemour, 06000, Bejaïa, Algeria

    Abdelkrim Moussaoui

  3. Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática, Campina Grande, 58429-900, Brazil

    Denilson S. Pereira

Authors
  1. Dumitru Motreanu
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  2. Abdelkrim Moussaoui
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  3. Denilson S. Pereira
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Correspondence to Dumitru Motreanu.

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Motreanu, D., Moussaoui, A. & Pereira, D.S. Multiple Solutions for Nonvariational Quasilinear Elliptic Systems. Mediterr. J. Math. 15, 88 (2018). https://doi.org/10.1007/s00009-018-1133-9

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  • DOI: https://doi.org/10.1007/s00009-018-1133-9

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