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arXiv:1402.3147 [math.AP]AbstractReferencesReviewsResources

On Coron's problem for the p-Laplacian

Carlo Mercuri, Berardino Sciunzi, Marco Squassina

Published 2014-02-13Version 1

We prove that the critical problem for the $p$-Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole. This extends Coron's problem to a class of quasilinear problems.

Comments: 6 pages
Categories: math.AP
Subjects: 35J92, 58E05, 54D30
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