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Fractional double phase Robin problem involving variable order-exponents without Ambrosetti–Rabinowitz condition

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Abstract

We consider a fractional double phase Robin problem involving variable order and variable exponents. The nonlinearity f is a Carathéodory function satisfying some hypotheses which do not include the Ambrosetti–Rabinowitz-type condition. By using a variational methods, we investigate the multiplicity of solutions.

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Authors and Affiliations

  1. Mathematics Department, Indian Institute of technology Delhi, Delhi, Hauz Khas, Delhi, 11016, India

    Reshmi Biswas

  2. IPEIK, University of Kairouan, Kairouan, Tunisia

    Sabri Bahrouni

  3. LR18ES15, University of Monastir, Monastir, Tunisia

    Sabri Bahrouni

  4. Mathematics Institute, Universidade Federal de Goiás, Goiânia, Brazil

    Marcos L. Carvalho

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  1. Reshmi Biswas
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  2. Sabri Bahrouni
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  3. Marcos L. Carvalho
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Correspondence to Sabri Bahrouni.

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Biswas, R., Bahrouni, S. & Carvalho, M.L. Fractional double phase Robin problem involving variable order-exponents without Ambrosetti–Rabinowitz condition. Z. Angew. Math. Phys. 73, 99 (2022). https://doi.org/10.1007/s00033-022-01724-w

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