Abstract
In this paper, we study the following class of fractional Choquard-type equations
where \((-\Delta )^{1/2}\) denotes the 1/2-Laplacian operator, \(I_{\mu }\) is the Riesz potential with \(0<\mu <1\), and F is the primitive function of f. We use variational methods and minimax estimates to study the existence of solutions when f has critical exponential growth in the sense of Trudinger–Moser inequality.
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The authors would like to express their sincere gratitude to the referees for carefully reading the manuscript and valuable comments and suggestions.
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Clemente, R., de Albuquerque, J.C. & Barboza, E. Existence of solutions for a fractional Choquard-type equation in \(\mathbb {R}\) with critical exponential growth. Z. Angew. Math. Phys. 72, 16 (2021). https://doi.org/10.1007/s00033-020-01447-w
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DOI: https://doi.org/10.1007/s00033-020-01447-w