Email this article Uniqueness of Solutions to Anisotropic Elliptic Equations with Nonpower Nonlinearities in Unbounded Domains
- Authors: Kozhevnikova L.M.1, Khadzhi A.A.2
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Affiliations:
- Sterlitamak Branch of Bashkir State University, Elabuga Branch of Kazan (Volga Region) Federal University
- University of Tyumen
- Issue: Vol 219, No 1 (2016)
- Pages: 160-171
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238499
- DOI: https://doi.org/10.1007/s10958-016-3093-6
- ID: 238499
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Abstract
We establish the uniqueness of a solution to the Dirichlet problem for a class of anisotropic second order elliptic equations with lower-order terms and nonpower nonlinearities. We construct an example demonstrating that the class of equations under consideration is larger than the class of equations with power nonlinearites.
About the authors
L. M. Kozhevnikova
Sterlitamak Branch of Bashkir State University, Elabuga Branch of Kazan (Volga Region) Federal University
Author for correspondence.
Email: kosul@mail.ru
Russian Federation, 89, Kazanskaya St., Elabuga, 423600
A. A. Khadzhi
University of Tyumen
Email: kosul@mail.ru
Russian Federation, 6, Volodarskogo St., Tyumen, 625003
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