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arxiv: 1402.3147 · v1 · pith:Q2YK2O57new · submitted 2014-02-13 · 🧮 math.AP

On Coron's problem for the p-Laplacian

Carlo Mercuri , Berardino Sciunzi , Marco Squassina This is my paper
classification 🧮 math.AP
keywords problemcoronadmitsannularclasscriticaldomainsextends
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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.

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