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

The main purpose of this article is to study the Caffarelli-Kohn-Nirenberg type inequalities (1.2) with p = 1. We show that symmetry breaking of the best constants occurs provided that a parameter |γ| is large enough. In the argument we effectively employ equivalence between the Caffarelli-Kohn-Nire...

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Veröffentlicht in:	Mathematical Journal of Ibaraki University 2015, Vol.47, pp.49-63
Hauptverfasser:	Chiba, Naoki, Horiuchi, Toshio
Format:	Artikel
Sprache:	eng
Schlagworte:	Best constant CKN-type inequality Degenerate elliptic equation Hardy-Sobolev inequality Weighted Hardy inequality
Online-Zugang:	Volltext
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