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On three solutions for Robin type problem involving $p\left( .\right) $-triharmonic operator

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Abstract

In this paper, we aim to prove the existence of at least three solutions to Robin boundary problem with p(.)-triharmonic operator. The method is mainly related to a three critical points theorem from Ricceri. Moreover, we use some compact embedding theorems for variable exponent third-order Sobolev space.

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Acknowledgements

The authors would like to thank the anonymous referees for their careful reading, suggestions, and comments for our paper.

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Authors and Affiliations

  1. Department of Mathematics, Sinop University, Korucuk Street, 57100, Sinop, Türkiye

    Ismail Aydın

  2. Center for Scientific Research and Entrepreneurship, Northern Border University, Arar, 73213, Saudi Arabia

    Khaled Kefi

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  1. Ismail Aydın
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  2. Khaled Kefi
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Correspondence to Ismail Aydın.

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Aydın, I., Kefi, K. On three solutions for Robin type problem involving $p\left( .\right) $-triharmonic operator. Ann Univ Ferrara 72, 153 (2026). https://doi.org/10.1007/s11565-026-00777-3

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