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Multiple solutions of nonlinear elliptic systems

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Nonlinear Differential Equations and Applications NoDEA Aims and scope Submit manuscript

Abstract.

We proved a multiplicity result for a nonlinear elliptic system in R N. The functional related to the system is strongly indefinite. We investigated the relation between the number of solutions and the topology of the set of the global maxima of the coefficients.

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Authors and Affiliations

  1. Departamento de Ingeniería Matemática, Universidad de La Frontera, Temuco, Casilla, 54 D, Chile

    Andrés I. Ávila

  2. Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, P. O. Box 71010, Wuhan, 430071, China

    Jianfu Yang

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  1. Andrés I. Ávila
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  2. Jianfu Yang
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Correspondence to Andrés I. Ávila.

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Ávila, A.I., Yang, J. Multiple solutions of nonlinear elliptic systems. Nonlinear differ. equ. appl. 12, 459–479 (2006). https://doi.org/10.1007/s00030-005-0022-7

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  • DOI: https://doi.org/10.1007/s00030-005-0022-7

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