Improved Hardy inequality with logarithmic term

2023/08/06 by Nikolai Kutev, Kutev, Nikolai, Tsviatko Rangelov +1
Computer Science · Mathematics · #26D10 (Primary) #35P15 (Secondary) #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2308.03148

openalex publication_date 2023/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

New Hardy type inequality with double singular kernel and with additional logarithmic term in a ball B⊂ ℝⁿ is proved. As an application an estimate from below of the first eigenvalue for Dirichlet problem of p-Laplacian in a bounded domain Ω⊂ ℝⁿ is obtain.

Related

• Hardy inequalities with double singular weights
• Hardy's inequality in a limiting case on general bounded domains
• Type problem, the first eigenvalue and Hardy inequalities
• Hardy-type inequalities and principle frequency of the p-Laplacian
• The Dirichlet Problem For the Logarithmic p-Laplacian