Finsler Hardy inequalities

2018/06/13 by Anna Mercaldo, Mercaldo, A., Megumi Sano +3 · 2 citations
Mathematics · Physics and Astronomy · Computer Science · #Nonlinear Partial Differential Equations #Advanced Differential Geometry Research #Advanced Mathematical Modeling in Engineering

paper · doi:10.48550/arxiv.1806.04901

Abstract

In this paper we present a unified simple approach to anisotropic Hardy inequalities in various settings. We consider Hardy inequalities which involve a Finsler distance from a point or from the boundary of a domain. The sharpness and the non-attainability of the constants in the inequalities are also proved.

Cited by

• Anisotropic Improved Leray-Trudinger Inequality
• Sharp anisotropic L²-Caffarelli-Kohn-Nirenberg inequalities associated with the Minkowski functional

Related

• Anisotropic Hardy inequalities
• Hardy inequalities with best constants on Finsler metric measure manifolds
• Sufficient criteria for obtaining Hardy inequalities on Finsler manifolds
• Generalized Hardy Type and Caffarelli-Kohn-Nirenberg Type Inequalities on Finsler Manifolds
• Hardy inequalities for simply connected planar domains