Weighted Trudinger-Moser inequalities in the subcritical Sobolev spaces and their applications

2024/01/27 by Masahiro Ikeda, Ikeda, Masahiro, Megumi Sano +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2401.15274

openalex publication_date 2024/01/27 · openalex created_date 2024/02/01 · openalex updated_date 2026/07/28

Abstract

We study boundedness, optimality and attainability of Trudinger-Moser type maximization problems in the radial and the subcritical homogeneous Sobolev spaces W^1,p_{0, rad}(B_R^N) (p

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