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Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg

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

in the (a,b) plane, the rotational symmetry of the optimizers is broken. A more detailed analysis by Felli and Schneider [8] shows that the region where the optimiz-ers have a broken symmetry contains the set RFS:= {(a,b) : a < 0, b < bFS(a)} where bFS(a) := d(ac −a) 2 p (ac −a)2 +d−1 +a −ac. We call this region RFS the Felli-Schneider region.
https://hal.archives-ouvertes.fr/hal-01286546/document

[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

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...

[Distinguished Lecture] Optimal …

... Optimal Symmetry Results for the Optimizers of Caffarelli-Kohn-Nirenberg ... proving the radial symmetry of the optimizers of Caffarelli-Kohn ...
http://bicmr.pku.edu.cn/content/show/18-1511.html?catid=KiQhKyYs

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 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.
http://adsabs.harvard.edu/abs/2016arXiv160303574D

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

Symmetry for extremal functions in …

We use the formalism of the Rényi entropies to establish the symmetry range of extremal functions in a family of subcritical Caffarelli–Kohn–Nirenberg ...
https://www.sciencedirect.com/science/article/pii/S1631073X17300043

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://www.researchgate.net/publication/301842499_Symmetry_of...

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

Maria J. Esteban | PhD | Paris Dauphine …

Maria J. Esteban of Paris Dauphine University, Paris UPD with ... for Research in Decision Mathematics; ... and symmetry of Caffarelli-Kohn-Nirenberg and ...
https://www.researchgate.net/profile/Maria_Esteban2