Multiplicity of 1D-concentrating positive solutions to the Dirichlet problem for equation with p-Laplacian

2012/06/04 by Sergey B. Kolonitskii, Kolonitskii, Sergey B.
Computer Science · Mathematics · #35J20 #35J92 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1206.0787

openalex publication_date 2012/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the multiplicity of spike-layer type solutions to the Dirichlet problem for the equation -Δ_p u = u^q-1 in expanding annuli.

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