Abstract
In this article, we are concerned with radial solutions for the best constant of the Cafarelli-Kohn-Nirenberg inequality. Firstly, we classify the radial solutions according to its asymptotic behavior as $r \to 0$ and $r \to \infty$. Secondly, we investigate the structure of radial singular solutions. Lastly, we briefly discuss the Neumann problem related to the Cafarelli-Kohn-Nirenberg inequality.
Citation
Jann-Long Chern. Chih-Her Chen. Gyeongha Hwang. "Structure of minimizers of Cafarelli-Kohn-Nirenberg inequality." Tohoku Math. J. (2) 72 (4) 551 - 567, 2020. https://doi.org/10.2748/tmj.20190917b
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