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arXiv:1610.09328 [math.AP]AbstractReferencesReviewsResources

Positive solutions for the fractional Laplacian in the almost critical case in a bounded domain

G. M. Figueiredo, G. Siciliano

Published 2016-10-28Version 1

We prove existence of multiple positive solutions for a {\sl fractional scalar field equation} in a bounded domain, whenever $p$ tends to the critical Sobolev exponent. By means of the "photography method", we prove that the topology of the domain furnishes a lower bound on the number of positive solutions.

Comments: arXiv admin note: text overlap with arXiv:0905.2358
Categories: math.AP
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