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# A Caffarelli-Kohn-Nirenberg type inequality with variable exponent

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## 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. Our main result is proved under the assumption that there exists a smooth vector function , satisfying and for any x ∈ Ω.
http://www.tandfonline.com/doi/full/10.1080/17476933.2010.487212

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

A Caffarelli–Kohn–Nirenberg-type inequality with variable ... other hand, regarding applications of variable exponent Lebesgue and Sobolev
http://www.tandfonline.com/doi/pdf/10.1080/17476933.2010.487212?need...

## Equations involving a variable …

In this paper we define a Grushin-type operator with a variable exponent growth and establish existence results for an equation involving such an operator.
http://iopscience.iop.org/article/10.1088/0951-7715/24/10/001

## 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)),

## 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

## A Caffarelli–Kohn–Nirenberg-type …

A Caffarelli–Kohn–Nirenberg-type inequality with variable exponent and applications to PDEs

## Caffarelli-Kohn-Nirenberg inequality …

We prove that if a metric measure space satisfies the volume doubling condition and the Caffarelli-Kohn-Nirenberg inequality with the same exponent \$n \ge ...
http://www.oalib.com/paper/3837763

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

A Caffarelli-Kohn-Nirenberg type inequality with variable exponent and applications to PDE’s ⁄ Mihai Mih‚ailescu a;b Vicent»iu R‚adulescu a;c ...
https://mathematics.ceu.edu/sites/mathematics.ceu.hu/files/...

## 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 ...
https://www.researchgate.net/publication/228720126_A_Caffarelli...

## 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 …