Russell M. Brown

activity

20012025

most citedThe Green function for elliptic systems in two dimensions

33 citations · 201 across the 15 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.CA2019★ 1 cited

Extendability of functions with partially vanishing trace

Sebastian Bechtel, Russell M. Brown, Robert Haller-Dintelmann +1

Let $Ω \subseteq R^{d}$ be open and $D \subseteq \partial Ω$ be a closed part of its boundary. Under very mild assumptions on $Ω$ , we construct a bounded Sobolev extension oper…

math.AP2019★ 8 cited

Estimates for the $L^{q}$ -mixed problem in $C^{1, 1}$ -domains

R. M. Brown, L. D. Croyle

We consider the $L^{q}$ -mixed problem in domains in $R^{n}$ with $C^{1, 1}$ -boundary. We assume that the boundary between the sets where we specify Neumann and Dirichlet data is…

Extendability of functions with partially vanishing trace

Estimates for the Lq-mixed problem in C1,1-domains

Estimates for the $L^{q}$ -mixed problem in $C^{1, 1}$ -domains