|
This article is cited in 13 scientific papers (total in 13 papers)
On the entropy solution to an elliptic problem in anisotropic Sobolev–Orlicz spaces
L. M. Kozhevnikovaab a Elabuga Institute, Kazan Federal University, Elabuga, Russia
b Sterlitamak Branch, Bashkir State University, Sterlitamak, Russia
Abstract:
For a certain class of anisotropic elliptic equations with the right-hand side from $L_1$ in an arbitrary unbounded domains, the Dirichlet problem with an inhomogeneous boundary condition is considered. The existence and uniqueness of the entropy solution in anisotropic Sobolev–Orlicz spaces are proven.
Key words:
anisotropic elliptic equation, entropy solution, uniqueness of solution, existence of solution, Sobolev–Orlicz space, $N$-functions.
Received: 26.07.2016
Citation:
L. M. Kozhevnikova, “On the entropy solution to an elliptic problem in anisotropic Sobolev–Orlicz spaces”, Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017), 429–447; Comput. Math. Math. Phys., 57:3 (2017), 434–452
Linking options:
https://www.mathnet.ru/eng/zvmmf10535 https://www.mathnet.ru/eng/zvmmf/v57/i3/p429
|
Statistics & downloads: |
Abstract page: | 408 | Full-text PDF : | 69 | References: | 78 | First page: | 29 |
|