Anisotropic Hardy inequalities

2015/12/17 by Della Pietra, Francesco, di Blasio, Giuseppina, Gavitone, Nunzia · 2 citations
#26D10 #26D15 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1512.05513

Abstract

We study some Hardy-type inequalities involving a general norm in Rⁿ and an anisotropic distance function to the boundary. The case of the optimality of the constants is also addressed.

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

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