Infinitely many solutions for the Dirichlet problem involving the\n p-Laplacian in annulus

2016/07/08 by Anderson L. A. de Araújo, de Araujo, Anderson L. A.
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1607.02468

openalex publication_date 2016/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a result of existence of infinitely many solutions for the\nDirichlet problem involving the p-Laplacian in annular domains, when p\≤ N,\ncontouring the failure of compactness of W^1,p(\Ω) in\nC⁰(\\Ω) applying a variable change.\n

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