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Systems of coupled Poisson equations with critical growth in unbounded domains

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Nonlinear Differential Equations and Applications NoDEA Aims and scope Submit manuscript

Abstract.

We establish the existence of a nontrivial solution to systems of coupled Poisson equations with critical growth in unbounded domains. The proofs rely on a generalized linking theorem due to Krysewski and Szulkin, and on a concentration-compactness argument since the Palais-Smale condition fails at all critical levels.

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Authors and Affiliations

  1. Département de mathématiques et informatique, Université Lourentienne, Sudbury, Ontario, P3E, 2C6, Canada

    Fabrice Colin

  2. Département de mathématiques et de statistique, Université de Montréal, CP 6128 succ. Centre-Ville, Montréal, Québec, H3C 3J7, Canada

    Marlène Frigon

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  1. Fabrice Colin
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  2. Marlène Frigon
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Correspondence to Fabrice Colin.

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Colin, F., Frigon, M. Systems of coupled Poisson equations with critical growth in unbounded domains. Nonlinear differ. equ. appl. 13, 369–384 (2006). https://doi.org/10.1007/s00030-006-4012-1

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  • DOI: https://doi.org/10.1007/s00030-006-4012-1

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