Neumann problem for elliptic equation in Sobolev power weighted spaces
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The Neumann problem for an elliptic equation in a bounded domain Ω ⊂ RN and for external forces with degenerations or singularities relating to the m-dimensional variety M ⊂ δ Ω are considered. The underlying ideas of proof of the existence of the considered problem solution are given for the remaining cases of N - m = 1 and N - m =2.
[1] Jindřich Nečas,et al. Sur une méthode pour résoudre les équations aux dérivées partielles du type elliptique, voisine de la variationnelle , 1961 .
[2] A. Kufner. Weighted Sobolev Spaces , 1985 .
[3] Linear elliptic boundary value problems and weighted Sobolev spaces: a modified approach , 1984 .
[4] A. Kufner. Lösungen des Dirichletschen Problems für elliptische Differentialgleichungen in Räumen mit Belegungsfunktionen , 1965 .