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arxiv: 1310.7785 · v2 · pith:3NJJJAXDnew · submitted 2013-10-29 · 🧮 math.AP

1/2-Laplacian problems with exponential nonlinearity

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keywords exponentialfractionalnonlinearityclassdiffusionequationsexistenceexploiting
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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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