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Математические заметки, 2022, том 112, выпуск 6, статья опубликована в англоязычной версии журнала
(Mi mzm13828)
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Статьи, опубликованные в английской версии журнала
Existence of Solutions of Anisotropic Problems
with Variable Exponents with Robin Boundary Conditions
M. Hsinia, L. Mbarkia, K. Dasb a Mathematics Department, Faculty of Sciences Tunis El Manar, Tunis, 2092 Tunisia
b Mathematics Department, Taki Government College, Taki, 743429 India
Аннотация:
The existence of nontrivial weak solutions of the anisotropic problem with variable
exponent and Robin boundary conditions is the focus of this research.
We obtain the
existence of solutions using the Mountain pass theorem and the Ekeland variational principle
as well as the theory of the anisotropic variable exponent Sobolev space.
Ключевые слова:
anisotropic
$p(x)$-Laplacian, anisotropic Sobolev space, Mountain pass theorem, Ekeland
variational principle, Robin boundary conditions.
Поступило: 19.03.2022
Образец цитирования:
M. Hsini, L. Mbarki, K. Das, “Existence of Solutions of Anisotropic Problems
with Variable Exponents with Robin Boundary Conditions”, Math. Notes, 112:6 (2022), 898–910
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/mzm13828
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Страница аннотации: | 57 |
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