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On the Caffarelli-Kohn-Nirenberg Inequalities

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On the Caffarelli-Kohn-Nirenberg Inequalities: Sharp ...

CAFFARELLI-KOHN-NIRENBERG INEQUALITIES 233 equation corresponding to (1.8). The two problems will be shown to be equivalent, and we shall mainly work on the transformed one on R SN−1. The advantage in working on the latter is that the equation is an autonomous one and is defined in H1.R SN−1/.
http://www.math.usu.edu/~wang/cpam.pdf

On the Caffarelli-Kohn-Nirenberg

We consider positive solutions of -div(|x|-2a u) = |x|-bpup-1, u ≥ 0 in RN, where for N ≥ 2: a < (N - 2)/2, a < b < a + 1, and p = 2N/(N - 2(1 + a - b)). Ground state solutions are the extremal functions of the Caffarelli-Kohn-Nirenberg inequalities [6].
https://www.researchgate.net/publication/2452776_On_the_Caffarelli...

On the Caffarelli–Kohn–Nirenberg inequalities

C. R. Acad. Sci. Paris, t. 330, Série I, p. 437–442, 2000 Équations aux dérivées partielles/Partial Differential Equations On the Caffarelli–Kohn ...
http://www.math.usu.edu/wang/cras-2000.pdf

Caffarelli-Kohn-Nirenberg inequality on metric …

Caffarelli-Kohn-Nirenberg inequality on metric measure spaces with applications Alexandru Krist´aly Department of Economics, Babe¸s-Bolyai University ...
https://www.math.kyoto-u.ac.jp/~sohta/papers/CKN.pdf

On the Caffarelli-Kohn-Nirenberg

On the Caffarelli-Kohn-Nirenberg inequalities: Sharp constants, existence (and nonexistence), and symmetry of extremal functions †
http://onlinelibrary.wiley.com › … › Vol 54 Issue 2 › Abstract

THE CAFFARELLI-KOHN-NIRENBERG INEQUALITIES ON

THE CAFFARELLI-KOHN-NIRENBERG INEQUALITIES 877 It has been shown by Bakry, Concordet and Ledoux that (cf. [BCL]) a complete n-dimensional Riemannian ...
https://www.researchgate.net/profile/Changyu_Xia/publication/...

Caffarelli–Kohn–Nirenberg and

In this short paper, we establish a range of Caffarelli–Kohn–Nirenberg and weighted [equation]-Sobolev type inequalities on stratified Lie groups. All ...
https://link.springer.com/article/10.1007/s00030-017-0478-2

On the Caffarelli–Kohn–Nirenberg

We shall answer some fundamental questions concerning these inequalities such as the best embedding constants, the existence and nonexistence of extremal functions, and their qualitative properties.
https://www.sciencedirect.com/science/article/pii/S0764444200002019

CAFFARELLI-KOHN-NIRENBERG INEQUALITIES

inequalities (i.e., 0 < a < 1 and at least one of s,µ,θ is nonzero), see the review paper by Dolbeault and Esteban [15]. Compared with the special cases of the Gagliardo-Nirenberg inequalities without the interpolation term (i.e., a = 1), dealing with such CKN inequalities encounters considerably more difficulty.
https://arxiv.org/pdf/1510.01224.pdf

Horiuchi , Kumlin : On the

The main purpose of this article is to establish the Caffarelli–Kohn– Nirenberg-type (CKN-type) inequalities for all α ∈ R and to study the related matters systematically.
https://projecteuclid.org/euclid.kjm/1352987531