Gradient stability of Caffarelli-Kohn-Nirenberg inequality involving weighted p-Laplace

2024/01/05 by Deng, Shengbing, Tian, Xingliang · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.04129

Abstract

The best constant and extremal functions are well known of the following Caffarelli-Kohn-Nirenberg inequality ∫_ℝ^N|∇ u|^p(dx)/(|x|^μ)≥ S (∫_ℝ^N|u|^r(dx)/(|x|^s) )^(p)/(r), for all u∈ C^∞_c(ℝ^N), where 1

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• Sharp anisotropic L²-Caffarelli-Kohn-Nirenberg inequalities associated with the Minkowski functional

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