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math.FA2022
approximation of the Moser--Trudinger inequality
Masato Hashizume, Norisuke Ioku
We propose a power type approximation of the Moser--Trudinger functional and show that its concentration level converges to the Carleson--Chang limit.
math.FA2018
Attainability of the best Sobolev constant in a ball
Norisuke Ioku
The best constant of the Sobolev inequality in the whole space is attained by the Aubin-Talenti function; however, this does not happen in bounded domains because the break in dila…