Projective Solution of the Dirichlet Problem for Boundaries with Angular Points
β Scribed by Jacques E. Benveniste
- Book ID
- 124876220
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1967
- Tongue
- English
- Weight
- 638 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0036-1399
- DOI
- 10.2307/2946196
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π SIMILAR VOLUMES
## Abstract We consider the DIRICHLET problem for linear elliptic differential equations with smooth real coefficients in a twoβdimensional domain with an angle point. We find an asymptotic representation of the solution near this point, which is stable under small variations of the angle.
We consider the boundary value problem where > 0 is a parameter and f β C 2 (0, β) is monotonically increasing and concave up such that f (0) < 0 (i.e. is the semipositone). In this paper we study the case p = and p β ( , +β). (p is the supremum of the nonnegative solution and is such that F ( ) =