Masato Hashizume

collaborators

2 papers

math.FA2022

$W^{1, p}$ 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.AP2017

On the Neumann Problem of Hardy-Sobolev critical equations with the multiple singularities

Masato Hashizume, Chun-Hsiung Hsia, Gyeongha Hwang

Let $N \geq 3$ and $Ω \subset R^{N}$ be $C^{2}$ bounded domain. We study the existence of positive solution $u \in H^{1} (Ω)$ of \begin{align*} \left\{ \begin{array}{l} -Δu + λu =…

W1,p approximation of the Moser--Trudinger inequality

On the Neumann Problem of Hardy-Sobolev critical equations with the multiple singularities

$W^{1, p}$ approximation of the Moser--Trudinger inequality