Abstract
This paper examines a class of nonlocal equations involving the fractional p-Laplacian, where the nonlinear term is assumed to have exponential growth. More specifically, by using a suitable Trudinger–Moser inequality for fractional Sobolev spaces, we establish the existence of weak solutions for these equations.
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Research partially supported by CNPq, Brazil, Grant 308758/2013-7.
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de Souza, M. On a class of nonhomogeneous fractional quasilinear equations in \({\mathbb{R}^n}\) with exponential growth. Nonlinear Differ. Equ. Appl. 22, 499–511 (2015). https://doi.org/10.1007/s00030-014-0293-y
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DOI: https://doi.org/10.1007/s00030-014-0293-y