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Existence of three solutions for variable exponent elliptic systems

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Abstract

We study the solutions of the \((p(x),q(x))\)-biharmonic system with Navier boundary condition on a bounded domain, and obtain three solutions under appropriate hypotheses. The technical approach is mainly based on a three critical points theorem due to Ricceri.

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The author thanks the referees for their careful reading of the manuscript and insightful comments.

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Correspondence to Mostafa Allaoui.

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Allaoui, M. Existence of three solutions for variable exponent elliptic systems. Ann Univ Ferrara 61, 241–253 (2015). https://doi.org/10.1007/s11565-015-0225-8

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  • DOI: https://doi.org/10.1007/s11565-015-0225-8

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