Bogdan Raiță

activity

20172022

A

-weakly differentiable functions on domains

32 citations · 242 across the 23 of their papers we have counts for

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2 papers · 1 filter

math.FA2021★ 8 cited

A trace inequality for solenoidal charges

Bogdan Raita, Daniel Spector, Dmitriy Stolyarov

We prove that for $α \in (d - 1, d]$ , one has the trace inequality \begin{align*} \int_{\mathbb{R}^d} |I_αF| \;dν\leq C |F|(\mathbb{R}^d)\|ν\|_{\mathcal{M}^{d-α}(\mathbb{R}^d)} \end{al…

math.FA2018★ 11 cited

On critical $L^{p}$ -differentiability of $BD$ -maps

Franz Gmeineder, Bogdan Raita

We prove that functions of locally bounded deformation on $R^{n}$ are $L^{n / (n - 1)}$ -differentiable almost everywhere. More generally, we show that this critical $\m…

A trace inequality for solenoidal charges

On critical Lp-differentiability of BD-maps

On critical $L^{p}$ -differentiability of $BD$ -maps