Отправить статью по E-mail Existence of Solutions of Anisotropic Elliptic Equations with Variable Exponents in Unbounded Domains
- Авторы: Kamaletdinov A.1, Kozhevnikova L.1,2, Melnik L.3
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Учреждения:
- Sterlitamak Branch of Bashkir State University
- Elabuga Branch of Kazan (Volga Region) Federal University
- Bashkir State Agrarian University
- Выпуск: Том 39, № 2 (2018)
- Страницы: 224-235
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201464
- DOI: https://doi.org/10.1134/S1995080218020166
- ID: 201464
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Аннотация
We consider a class of anisotropic elliptic differential equations of second order with divergent form and variable exponents. The corresponding elliptic operators are pseudo-monotone and coercive. We obtain solvability conditions for the Dirichlet problem in unbounded domains Ω ⊂ ℝn, n ≥ 2. The proof of existence of solutions is free of restrictions on growth of data for |x| → ∞.
Об авторах
A. Kamaletdinov
Sterlitamak Branch of Bashkir State University
Автор, ответственный за переписку.
Email: kamaletdinov-aleksandr@mail.ru
Россия, pr. Lenina 37, Sterlitamak, 453103
L. Kozhevnikova
Sterlitamak Branch of Bashkir State University; Elabuga Branch of Kazan (Volga Region) Federal University
Email: kamaletdinov-aleksandr@mail.ru
Россия, pr. Lenina 37, Sterlitamak, 453103; ul. Kazanskaya 89, Elabuga, Tatarstan, 423600
L. Melnik
Bashkir State Agrarian University
Email: kamaletdinov-aleksandr@mail.ru
Россия, ul. 50 Let Oktyabrya 34, Ufa, 450001
