21 citations · 24 across the 9 of their papers we have counts for
4 papers · 1 filter
On the existence of the biharmonic Green kernels and the the adjoint biharmonic functions
Abderrahim Aslimani, Imad El Ghazi, Mohamed El Kadiri +1
We study the existence and the regularity of the biharmonic Green kernel in a Brelot biharmonic space whose associated harmonic spaces have Green kernels. We show by some examples…
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 $\RR^n$ ().
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 $\RR^n$ (), both with respect to the natural topology and the minimal-fine topology, and show tha…
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 of a fine domain in , , and the Riesz-Martin kernel on . We obtain the integral represent…