Email this article Existence of Entropic Solutions of an Elliptic Problem in Anisotropic Sobolev–Orlicz Spaces
- Authors: Kozhevnikova L.M.1,2
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Affiliations:
- Sterlitamak Branch of the Bashkir State University
- Elabuga Branch of the Bashkir State University
- Issue: Vol 241, No 3 (2019)
- Pages: 258-284
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242885
- DOI: https://doi.org/10.1007/s10958-019-04422-7
- ID: 242885
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Abstract
We consider the Dirichlet problem in an arbitrary unbounded domain with inhomogeneous boundary conditions for a certain class of anisotropic elliptic equations whose right-hand sides belong to the class L1 and prove the existence of entropic solutions in anisotropic Sobolev–Orlicz spaces.
About the authors
L. M. Kozhevnikova
Sterlitamak Branch of the Bashkir State University; Elabuga Branch of the Bashkir State University
Author for correspondence.
Email: kosul@mail.ru
Russian Federation, Sterlitamak; Elabuga
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