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On a nonlocal problem involving a nonstandard nonhomogeneous differential operator

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Abstract

In this article, we are concerned with some class of nonlocal problems involving a nonstandard nonlocal and nonhomogeneous differential operator settled in Musielak–Orlicz–Sobolev spaces. We apply variational approach and look for nontrivial solutions, that is, local minimizers of the corresponding energy functional.

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Authors and Affiliations

  1. Faculty of Economics and Administrative Sciences, Batman University, Batman, Turkey

    Mustafa Avci

  2. Graduate School of Natural and Applied Sciences, Batman University, Batman, Turkey

    Berat Süer

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  1. Mustafa Avci
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  2. Berat Süer
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Correspondence to Mustafa Avci.

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Avci, M., Süer, B. On a nonlocal problem involving a nonstandard nonhomogeneous differential operator. J Elliptic Parabol Equ 5, 47–67 (2019). https://doi.org/10.1007/s41808-018-0032-3

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  • DOI: https://doi.org/10.1007/s41808-018-0032-3

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