B. Ruf

activity

20062024

collaborators

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math.FA2017

Equivalent and attained version of Hardy's inequality in $R^{n}$

Daniele Cassani, Bernhard Ruf, Cristina Tarsi

We investigate connections between Hardy's inequality in the whole space $R^{n}$ and embedding inequalities for Sobolev-Lorentz spaces. In particular, we complete previous r…

math.FA2006

A sharp Trudinger-Moser type inequality for unbounded domains in $R^{n}$

Yuxiang Li, Bernhard Ruf

The Trudinger-Moser inequality states that for functions $u \in H_{0}^{1, n} (Ω)$ ( $Ω \subset R^{n}$ a bounded domain) with $\int_{Ω} ∣\nabla u ∣^{n} d x \leq 1$ one has $\int_Ω(e^{α_n|u|^…

Equivalent and attained version of Hardy's inequality in Rn

A sharp Trudinger-Moser type inequality for unbounded domains in Rn

Equivalent and attained version of Hardy's inequality in $R^{n}$

A sharp Trudinger-Moser type inequality for unbounded domains in $R^{n}$