Megumi Sano

activity

20182026

most citedTwo limits on Hardy and Sobolev inequalities

3 citations · 5 across the 9 of their papers we have counts for

collaborators

Showing 2019 · math.APShow all

2 papers · 2 filters

math.AP2019

Minimization problem associated with an improved Hardy-Sobolev type inequality

Megumi Sano

We consider the existence and the non-existence of a minimizer of the following minimization problems associated with an improved Hardy-Sobolev type inequality introduced by Ioku.…

math.AP2019

Remarks on a limiting case of Hardy type inequalities

Megumi Sano, Takuya Sobukawa

The classical Hardy inequality holds in Sobolev spaces $W_{0}^{1, p}$ when $1 \leq p < N$ . In the limiting case where $p = N$ , it is known that by adding a logarithmic function to the Hard…