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Multiple Solutions for a Class of Generalized Critical Noncooperative Schrödinger Systems in \(\mathbb {R}^N\)

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Abstract

In this paper, we investigate the multiplicity of solutions for a class of noncooperative Schrödinger systems in \(\mathbb {R}^N\). The systems involves a variable exponent elliptic operators with critical nonlinearity. By applying the Limit Index Theory developed by Li (Nonlinear Anal 25, 1371–1389, 1995) and utilizing a version of the concentration-compactness principle and the principle of symmetric criticality of Krawcewicz and Marzantowicz, we obtain a sequence of solutions under appropriate assumptions.

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Acknowledgements

The author is grateful to the editor and anonymous reviewers for their valuable suggestions, which have significantly improved this manuscript.

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  1. Laboratory of Mathematical Analysis and Applications, Department of Mathematics, Faculty of Sciences, Mohammed V University, P.O. Box 1014 ,  Rabat, Morocco

    Nabil Chems Eddine

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Chems Eddine, N. Multiple Solutions for a Class of Generalized Critical Noncooperative Schrödinger Systems in \(\mathbb {R}^N\). Results Math 78, 226 (2023). https://doi.org/10.1007/s00025-023-02005-2

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