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Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified

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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

Caffarelli-Kohn-Nirenberg and

PDF | In this short paper, we establish a range of Caffarelli-Kohn-Nirenberg and weighted $L^{p}$-Sobolev type inequalities on stratified Lie groups. All ...
https://www.researchgate.net/publication/319002603_Caffarelli-Kohn...

On horizontal Hardy, Rellich, Caffarelli–Kohn–Nirenberg ...

The main aim of this paper is to give analogues of Hardy type inequalities on stratified groups with horizontal gradients and weights. Actually we obtain more than that, i.e., we prove general (horizontal) weighted Hardy, Rellich and Caffarelli–Kohn–Nirenberg type inequalities on strati-fied groups.
http://wwwf.imperial.ac.uk/~ruzh/papers/JDE-Ruzhansky-Suragan-horizontal...

CAFFARELLI-KOHN-NIRENBERG INEQUALITIES

ities such as Gagliardo-Nirenberg inequalities, Sobolev ... OPTIMIZERS FOR CAFFARELLI-KOHN-NIRENBERG INEQUALITIES 3 ... a p−Laplacian type
https://arxiv.org/pdf/1510.01224.pdf

American Mathematical Society - ams.org

Moreover, we also obtain anisotropic versions of these inequalities which can be conveniently formulated in the language of Folland and Stein's homogeneous ...
http://www.ams.org/journals/btran/2018-05-02/S2330-0000-2018-00022-X

On horizontal Hardy, Rellich, …

The main aim of this paper is to give analogues of Hardy type inequalities on stratified groups with horizontal gradients and weights. Actually we obtain more than that, i.e., we prove general (horizontal) weighted Hardy, Rellich and Caffarelli–Kohn–Nirenberg type inequalities on stratified groups.
https://www.sciencedirect.com/science/article/pii/S002203961630362X

Durvudkhan Suragan - ResearchGate

... and contact Durvudkhan Suragan on ResearchGate, ... $-Sobolev type inequalities on stratified ... Caffarelli-Kohn-Nirenberg type inequalities ...
https://www.researchgate.net/profile/Durvudkhan_Suragan

Caffarelli–Kohn–Nirenberg and Sobolev type inequalities

• (Sobolev type inequality)Letα ∈ R.Thenforanyf ∈ C∞ 0 (G\{x =0}), and all 1 <p<∞,wehave |N −αp| p f |x |α Lp(G) ≤ x ·∇ Hf |x |α Lp(G), where ∇ H is the horizontal gradient on G and |·| is the Euclidean norm on RN.IfN = αp, then the constant |N−αp| p is sharp. • (Equivalence of Hardy and Sobolev type inequalities in L2(G)) Let N ≥ 3.
https://link.springer.com/content/pdf/10.1007/s00030-017-0478-2.pdf

Inequalities on stratified groups – …

In this short paper, we establish a range of Caffarelli–Kohn– Nirenberg and weighted L p-Sobolev type inequalities on stratified Lie groups. All inequalities are obtained with sharp constants. Moreover, the equivalence of the Sobolev type inequality and Hardy inequality is shown in the L 2-case.
https://noncommutative.wordpress.com/inequalities-on-stratified-groups

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

On the Caffarelli-Kohn-Nirenberg Inequalities: Sharp Constants, Existence (and Nonexistence), and Symmetry of Extremal Functions FLORIN CATRINA AND
http://www.math.usu.edu/~wang/cpam.pdf