On Coron's problem for the p-Laplacian

2014/02/13 by Carlo Mercuri, Mercuri, Carlo, Berardino Sciunzi +3 · 1 citation
Computer Science · Mathematics · #54D30 #58E05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics #math.AP #msc:54D30 #msc:58E05 #{35J92

paper · pdf · doi:10.48550/arxiv.1402.3147

6 pages

arxiv created 2014/02/13 · openalex publication_date 2014/02/13 · arxiv updated 2014/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

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

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