HARDY INEQUALITIES AND CAFFARELLI-KOHN-NIRENBERG INEQUALITIES WITH RADIAL DERIVATIVE

HARDY INEQUALITIES AND CAFFARELLI-KOHN-NIRENBERG INEQUALITIES WITH RADIAL DERIVATIVE

In this paper, we study several inequalities of Hardy and Caffarelli-Kohn-Nirenberg type. We set up some optimal versions of these inequalities using the radial derivatives or the convex combinations of the full gradient and its radial part. We also exhibit their optimizers in some certain cases.

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Veröffentlicht in:JOURNAL OF MATHEMATICAL INEQUALITIES 2020-06, Vol.14 (2), p.501-523
Hauptverfasser: Tuan Duy Nguyen, Le-Long Phi, Yin, Weijia
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
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Zusammenfassung:In this paper, we study several inequalities of Hardy and Caffarelli-Kohn-Nirenberg type. We set up some optimal versions of these inequalities using the radial derivatives or the convex combinations of the full gradient and its radial part. We also exhibit their optimizers in some certain cases.
ISSN:1846-579X
DOI:10.7153/jmi-2020-14-32