Hardy inequalities with double singular weights

2020/01/21 by Nikolai Kutev, Kutev, Nikolai, Tsviatko Rangelov +1
Computer Science · Mathematics · #26D10 #35P15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2001.07368

openalex publication_date 2020/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to obtain new Hardy inequalities with double singular weights - at an interior point and on the boundary of the domain. These inequalities give us the possibility to derive estimates from below of the first eigenvalue of the p-Laplacian with Dirichlet boundary conditions.

Citations

• Hardy Inequalities in General Domains
• A Picone's identity for the p-Laplacian and applications

Related

• A note on Hardy's inequalities with boundary singularities
• Improved Hardy inequality with logarithmic term
• On the Hardy-Poincaré inequality with boundary singularities
• Hardy's inequalities with non-doubling weights and sharp remainders
• Weighted Hardy inequality with higher dimensional singularity on the boundary