On the critical Caffarelli-Kohn-Nirenberg type inequalities involving super-logarithms

Autor:	Ando, Hiroshi, Horiuchi, Toshio, Nakai, Eiichi
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Primary 35J70 Secondary 35J60
Druh dokumentu:	Working Paper
Popis:	We establish the Caffarelli-Kohn-Nirenberg type inequalities involving{ super-logarithms (infinitely iterated logarithms).} As a result the critical Caffarelli-Kohn-Nirenberg type inequalities will be improved, and in certain cases the best constants will be discovered.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.08282 Zobrazit plný text záznamu View this record from Arxiv