B. Fuglede

activity

20102019

most citedConstrained minimum Riesz energy problems for a condenser with intersecting plates

2 citations · 5 across the 10 of their papers we have counts for

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3 papers · 1 filter

math.AP2014

The Dirichlet problem at the Martin boundary of a fine domain

Mohamed El Kadiri, Bent Fuglede

We develop the Perron-Wiener-Brelot method of solving the Dirichlet problem at the Martin boundary of a fine domain in $\RR^n$ ( $n \geq 2$ ).

math.AP2014★ 1 cited

Sweeping at the Martin boundary of a fine domain

Mohamed El Kadiri, Bent Fuglede

We study sweeping on a subset of the Riesz-Martin space of a fine domain in $\RR^n$ ( $n \geq 2$ ), both with respect to the natural topology and the minimal-fine topology, and show tha…

math.AP2014★ 2 cited

Martin boundary of a fine domain and a Fatou-Naim-Doob theorem for finely superharmonic functions

Mohamed El Kadiri, Bent Fuglede

We construct the Martin compactification $U ˉ$ of a fine domain $U$ in $R^{n}$ , $n \geq 2$ , and the Riesz-Martin kernel $K$ on $U \times U ˉ$ . We obtain the integral represent…