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arxiv: 1401.5967 · v4 · pith:2AWEAGNTnew · submitted 2014-01-23 · 🧮 math.AP

Coron problem for fractional equations

classification 🧮 math.AP
keywords fractionalproblemadmitsannularcoroncriticaldomainequations
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We prove that the critical problem for the fractional Laplacian in an annular type domain admits a nontrivial solution provided that the inner hole is sufficiently small.

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