Email this article On the entropy solution to an elliptic problem in anisotropic Sobolev–Orlicz spaces
- Authors: Kozhevnikova L.M.1,2
-
Affiliations:
- Sterlitamak Branch
- Elabuga Institute
- Issue: Vol 57, No 3 (2017)
- Pages: 434-452
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/178994
- DOI: https://doi.org/10.1134/S0965542517030101
- ID: 178994
Cite item
Open Access
Access granted
Subscription Access
Abstract
For a certain class of anisotropic elliptic equations with the right-hand side from L1 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.
About the authors
L. M. Kozhevnikova
Sterlitamak Branch; Elabuga Institute
Author for correspondence.
Email: kosul@mail.ru
Russian Federation, Sterlitamak, 453103; Elabuga, 423604
Supplementary files
