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Neumann problem for elliptic equation in Sobolev power weighted spaces

Josef Voldřich

Mathematics and Computers in Simulation (MATCOM), 2003, vol. 61, issue 3, 199-207

Abstract: 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⊂δΩ 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.

Keywords: Neumann problem; Weighted spaces; Ellipticity; Hardy’s inequality (search for similar items in EconPapers)
Date: 2003
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