On radial symmetry and its breaking in the Caffarelli-Kohn-Nirenberg type inequalities for <i>p </i>= 1

DOI10.5036/mjiu.47.49zbMath1333.35075OpenAlexW2169931296MaRDI QIDQ3466091

Naoki Chiba, Toshio Horiuchi

Publication date: 29 January 2016

Published in: Mathematical journal of Ibaraki University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5036/mjiu.47.49

zbMATH Keywords

symmetry breakingdegenerate elliptic equationbest constantCaffarelli-Kohn-Nirenberg inequalityweighted Hardy inequalityHardy-Sobolev inequality

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

Related Items (7)

Biographical Sketch of Professor Toshio Horiuchi ⋮ Weighted symmetrization results for a problem with variable Robin parameter ⋮ Some isoperimetric inequalities in the plane with radial power weights ⋮ Some isoperimetric inequalities on \(\mathbb{R}^N\) with respect to weights \(|x|^{\alpha}\) ⋮ The isoperimetric problem for a class of non-radial weights and applications ⋮ On the Caffarelli-Kohn-Niremberg type inequalities and related topics ⋮ Radial symmetry and its breaking in the caffarelli-Kohn-Nirenberg type inequalities for \(p=1\)

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