3 papers
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.AP2019
Non-uniqueness for a critical heat equation in two dimensions with singular data
Norisuke Ioku, Bernhard Ruf, Elide Terraneo
Nonlinear heat equations in two dimensions with singular initial data are studied. In recent works nonlinearities with exponential growth of Trudinger-Moser type have been shown to…
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…