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arXiv:1310.7785 [math.AP]AbstractReferencesReviewsResources

1/2-Laplacian problems with exponential nonlinearity

Antonio Iannizzotto, Marco Squassina

Published 2013-10-29, updated 2013-11-09Version 2

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.

Comments: 10 pages
Categories: math.AP
Subjects: 34K37, 34B10, 46E30
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