A uniqueness theorem for solution of one Dirichlet problem
β Scribed by E. A. Utkina
- Book ID
- 111503577
- Publisher
- Allerton Press, Inc.
- Year
- 2011
- Tongue
- English
- Weight
- 454 KB
- Volume
- 55
- Category
- Article
- ISSN
- 1066-369X
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π SIMILAR VOLUMES
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
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