Uniqueness theorem for the solution of the Dirichlet problem
β Scribed by A. G. Ramm
- Book ID
- 112451318
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1979
- Tongue
- English
- Weight
- 197 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we study the uniqueness problem for the classical Dirichlet form on a weighted real L 2 -space when the underlying space is finite dimensional. The associated operator H, called the Dirichlet operator, when restricted to the domain of smooth functions, takes the form &2&; } { where ; i
In this paper we prove the uniqueness of positive weak solutions to the problem Here is a bounded domain in R N (N 3) with smooth boundary j , p denotes the p-Laplacian operator defined by p z = div(|βz| p-2 βz); p > 1, g(x, 0) = 0, for a.e. x β , and g(x, u) is a Caratheodory function. We provide