Abstract
This paper presents new multiplicity and existence results for a class of nonlocal fractional problems. Based on critical point theory and the mountain pass theorem, we derive conditions ensuring the multiplicity and existence of weak solution for the fractional problem in a suitable space of functions.
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The authors would like to thank Associate Editor and three anonymous reviewers for their comments on the manuscript which helped very much in improving and presenting the original version of this paper.
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Communicated by Agnieszka Malinowska.
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Naghizadeh, Z., Nikan, O. & Lopes, A.M. Multiplicity results for a nonlocal fractional problem. Comp. Appl. Math. 41, 239 (2022). https://doi.org/10.1007/s40314-022-01931-1
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DOI: https://doi.org/10.1007/s40314-022-01931-1
Keywords
- Fractional s(x
- .)-Laplacian
- Nonlocal problem
- Fractional Sobolev space with variable exponents
- Critical point theory
- Mountain pass theorem