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arXiv · 1310.7785

1/2-Laplacian problems with exponential nonlinearity

Antonio Iannizzotto·Marco Squassina
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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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Antonio Iannizzotto, Marco Squassina. 2013-11-09. 1/2-Laplacian problems with exponential nonlinearity. https://arxiv.org/abs/1310.7785

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