-Laplacian problems with exponential nonlinearity |
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| Authors: | Antonio Iannizzotto Marco Squassina |
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| Institution: | Dipartimento di Informatica, Università degli Studi di Verona, Cá Vignal 2, Strada Le Grazie 15, I-37134 Verona, Italy |
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| Abstract: | By exploiting a suitable Trudinger–Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equations with fractional diffusion and nonlinearity at exponential growth. |
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| Keywords: | Fractional Laplacian Trudinger&ndash Moser inequality Nonlocal equations |
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