We consider a boundary problem for an elliptic system of differential equations in a bounded region Ω ⊂ R n and where the spectral parameter is multiplied by a discontinuous weight function ω(x) = diag(ω1(x), . . . , ωN (x)). The problem is considered under limited smoothness assumptions and under a
An elliptic boundary problem for a system involving a discontinuous weight
✍ Scribed by R Denk; M Faierman; M Möller
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 237 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0025-2611
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## Abstract In a recent paper, Agranovich, Denk, and Faierman developed a method for deriving results pertaining to the eigenvalue asymptotics for scalar elliptic boundary problems involving a weight function under limited smoothness assumptions and under an ellipicity with parameter condition. Den
Let Ω ⊂ R N (N > 1) be a bounded domain. In this work we are interested in finding a renormalized solution to the following elliptic system where the diffusion matrix A 2 blows up for a finite value of the unknown, say u 2 = s 0 < 0. We also consider homogeneous Dirichlet boundary conditions for b