Existence of Entropic Solutions of an Elliptic Problem in Anisotropic Sobolev–Orlicz Spaces
- Autores: Kozhevnikova L.1,2
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Afiliações:
- Sterlitamak Branch of the Bashkir State University
- Elabuga Branch of the Bashkir State University
- Edição: Volume 241, Nº 3 (2019)
- Páginas: 258-284
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242885
- DOI: https://doi.org/10.1007/s10958-019-04422-7
- ID: 242885
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Resumo
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.
Sobre autores
L. Kozhevnikova
Sterlitamak Branch of the Bashkir State University; Elabuga Branch of the Bashkir State University
Autor responsável pela correspondência
Email: kosul@mail.ru
Rússia, Sterlitamak; Elabuga