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On a generalized p(x)-biharmonic problem with two nonlocal terms

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Abstract

Using variational methods, we obtain in this paper, the multiplicity of nontrivial weak solutions for a class of generalized p(x)-biharmonic problem involving two nonlocal terms and two real parameters \(\lambda \), \(\mu \) with indefinite weight under no flux boundary condition. The novelty here can be seen as a generalization and continuation to some existing results.

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Acknowledgements

The authors would like to thank the editor and the anonymous referees for their valuable comments in improving this manuscript.

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Correspondence to Khalid Soualhine.

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Filali, M., Soualhine, K., Talbi, M. et al. On a generalized p(x)-biharmonic problem with two nonlocal terms. J Elliptic Parabol Equ (2024). https://doi.org/10.1007/s41808-024-00279-3

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