Coron problem for fractional equations

2014/01/23 by Simone Secchi, Secchi, Simone, Naoki Shioji +3 · 1 citation
Mathematics · #34K37 #58K05 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:34K37 #msc:58K05

paper · pdf · doi:10.48550/arxiv.1401.5967

10 pages, revised version

arxiv created 2014/07/01 · arxiv updated 2014/07/02

Abstract

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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• Global Compactness Result for a Brézis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator

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