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A Caffarelli-Kohn-Nirenberg type inequality with variable exponent

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A Caffarelli–Kohn–Nirenberg-type

for relevant applications of the Caffarelli–Kohn–Nirenberg inequality. In the years that followed this inequality was extensively studied (see, e.g. 2–4 Catrina, F and Wang, Z-Q. 2001. On the Caffarelli-Kohn-Nirenberg inequalities: Sharp constants, existence (and nonexistence) and symmetry of extremal function. Commun.
http://www.tandfonline.com/doi/full/10.1080/17476933.2010.487212

A Caffarelli-Kohn-Nirenberg type

Given Ω ⊂ R N (N ≥ 2) a bounded smooth domain we establish a Caffarelli-Kohn-Nirenberg type inequality on Ω in the case when a variable exponent p(x), of class C 1 , is involved.
https://www.researchgate.net/publication/228720126_A_Caffarelli...

Mihai Mihailescu - Google Scholar …

New citations to this author. ... A Caffarelli-Kohn-Nirenberg-type inequality with variable ... On the asymptotic behavior of variable exponent power–law ...
http://scholar.google.ro/citations?user=6SrnGu8AAAAJ&hl=en

On Caffarelli-Kohn-Nirenberg Inequalities for Block …

On Caffarelli-Kohn-Nirenberg Inequalities for Block-Radial Functions ... inequality is the following inequality of Hardy type for functions u = u(r1(x),r2(x)),
https://link.springer.com/content/pdf/10.1007/s11118-016-9535-4.pdf

A CHEAP CAFFARELLI–KOHN–NIRENBERG INEQUALITY

exponent 5/4 could be viewed as genuine progress. The purpose of this paper is to interpolate the two results so that these two paths to progress are unified. We prove Theorem 1.2. If T is the time of first breakdown for the system (1),(2), with 5/4 >α> 1 then the Hausdorffdimension of the singular set at time T is at most 5 −4α.
http://www.ma.utexas.edu/users/natasa/publications/kapa1.pdf

Vicentiu Radulescu - Universitatea din …

(with M. Mihailescu and D. Stancu) A Caffarelli-Kohn-Nirenberg-type inequality with variable exponent and applications to PDE's, Complex Variables and …
http://math.ucv.ro/~radulescu/publications.html

Some improvements of the Caffarelli-Kohn-Nirenberg type ...

Caffarelli-Kohn-Nirenberg type inequality Let N 3, Ω ˆ RN: smooth bounded domain, or Ω = RN, 1 <p <N, 1 <a <N p p.. Lp CKN inequality.. (CKN)p ∫ Ω ∇ujpjxj padx (N p pa p)p ∫ Ω jujp jxjp(a+1) dx for 8u 2 D1;p 0;a Ω: the completion of C 1 0 Ω w.r.t ∥u∥D1;p 0;a Ω = (∫ Ω ∇ujpjxj padx)1=p:..
http://www.rism.it/doc/Takahashi.pdf

A Caffarelli-Kohn-Nirenberg type inequality with variable ...

The goal of this paper is to obtain inequalities of type (1.1) in the case when the constant p is replaced by a function p(x) of class C1 and to use them in studying some degenerate elliptic equations involving variable exponent growth conditions. Our attempt will be considered in the context of bounded smooth domains › ‰ RN with N ‚ 2.
https://mathematics.ceu.edu/sites/mathematics.ceu.hu/files/...

Equations Complex Variables and Elliptic - ResearchGate

A Caffarelli––Kohn––Nirenberg-type inequality with variable exponent and ... A Caffarelli–Kohn–Nirenberg-type inequality in bounded domains ...
https://www.researchgate.net/profile/Vicentiu_Radulescu/publication...

Taiwanese Journal of Mathematics - …

Y. Chen, S. Levine and M. Rao, Variable exponent, ... A Caffarelli-Kohn-Nirenberg-type inequality with variable exponent and applications to PDEs, ...
https://projecteuclid.org/euclid.twjm/1499133719