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Nontrivial Weak Solution for a Schrödinger–Kirchhoff-Type System Driven by a \((p_1,p_2)\)-Laplacian Operator

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Abstract

In this paper, we investigate the existence of nontrivial weak solution for a Schrödinger–Kirchhoff-type system driven by a \((p_1,p_2)\)-Laplacian operator under appropriate hypotheses. The proofs are based on the variational methods.

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Acknowledgements

The authors would like to thank the referees for making good suggestions. The second author was supported financially by the National Natural Science Foundation of China (11371221).

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Correspondence to D. Ma.

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Communicated by Davod Khojasteh Salkuyeh.

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Ma, D., Liu, L. & Wu, Y. Nontrivial Weak Solution for a Schrödinger–Kirchhoff-Type System Driven by a \((p_1,p_2)\)-Laplacian Operator. Bull. Iran. Math. Soc. 44, 237–252 (2018). https://doi.org/10.1007/s41980-018-0017-x

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  • DOI: https://doi.org/10.1007/s41980-018-0017-x

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