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arXiv · 1402.3147

On Coron's problem for the p-Laplacian

Carlo Mercuri·Berardino Sciunzi·Marco Squassina
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Abstract

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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Carlo Mercuri, Berardino Sciunzi, Marco Squassina. 2014-02-13. On Coron's problem for the p-Laplacian. https://arxiv.org/abs/1402.3147

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