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Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg

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Symmetry of optimizers of the

In their simplest form, the Caffarelli-Kohn-Nirenberg inequalities are a two parameter family of inequalities. It has been known that there is a region in parameter space where the …
https://www.researchgate.net/publication/301842499_Symmetry_of...

[1603.03574] Symmetry of optimizers

Abstract: In their simplest form, the Caffarelli-Kohn-Nirenberg inequalities are a two parameter family of inequalities. It has been known that there is a ...
https://arxiv.org/abs/1603.03574

Optimal Symmetry Results for the …

In this talk I will present recent results, obtained in collaboration with J. Dolbeault and M. Loss, proving the radial symmetry of the optimizers of Caffarelli-Kohn-Nirenberg inequalities whenever they are local minima in the full functional space. These results are optimal and close a series of works proving partial results.
http://www.pku.org.cn/?p=20915

Chiba , Horiuchi : Radial symmetry and …

F. Catrina and Z.-Q. Wang, On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions, Comm. Pure Appl. Math. 54 (2001), no. 2, 229–258.
https://www.projecteuclid.org/download/pdf_1/euclid.pja/1459516319

CAFFARELLI-KOHN-NIRENBERG INEQUALITIES

CAFFARELLI-KOHN-NIRENBERG INEQUALITIES NGUYEN LAM AND GUOZHEN LU ... Actually, the problem of symmetry and symmetry breaking of optimizers for the CKN
https://arxiv.org/pdf/1510.01224.pdf

Symmetry of optimizers of the

Abstract In their simplest form, the Caffarelli-Kohn-Nirenberg inequalities are a two parameter family of inequalities. It has been known that there is a ...
http://adsabs.harvard.edu/abs/2016arXiv160303574D

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

Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg ...

Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities J. Dolbeault1 and M.J. Esteban2 CEREMADE (CNRS UMR n 7534), PSL research university ...
https://hal.archives-ouvertes.fr/hal-01286546/document

Symmetry of optimizers of the

In their simplest form, the Caffarelli-Kohn-Nirenberg inequalities are a two parameter family of inequalities. It has been known that there is a region in parameter space where the optimizers for the inequalities have broken symmetry. It has been shown recently that in the complement of this region the optimizers are radially symmetric.
https://hal.archives-ouvertes.fr/hal-01286546

Pacific Journal of Mathematics - aurak.ac.ae

investigate the symmetry and symmetry breaking of the optimizers of the CKN, in the case p D2 and t D1 using a nonlinear flow approach. In the case t 6D1 and p D2, the best constants of the CKN inequality were investigated in[Dolbeault and Esteban 2012]. In addition toTheorem 1.2we prove a symmetry breaking phenomenon for the case >0: …
http://aurak.ac.ae/publications/Norm-Constants-in-Cases-of-the-Caffarelli...