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Математические заметки, 2021, том 110, выпуск 6, статья опубликована в англоязычной версии журнала
(Mi mzm13376)
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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Статьи, опубликованные в английской версии журнала
Existence Results for Nonlinear Elliptic Equations
with Leray–Lions Operators in Sobolev Spaces
with Variable Exponents
M. Mosa Al-Shomrania, M. Ben Mohamed Salahb, A. Ghanmib, K. Kefic a Department of Mathematics, Faculty of Science, King Abdulaziz
university, P. O. Box 80203, Jeddah, 21589 Saudi Arabia
b Mathematics Department, Faculty of Sciences, University of Tunis El Manar, Tunis, 2092 Tunisia
c Faculty of Computer Science and Information Technology, Northern Border University, Rafha, 9111 Saudi Arabia
Аннотация:
This paper deals with the existence of a solution of a problem involving Leray–Lions
type operators in Sobolev spaces with variable exponent.
The proofs of our main results
combine variational methods with energy estimates and Ekeland's variational principle.
This paper improves and generalizes previous ones in literature, more precisely those
of K.
Kefi and V.
Rãdulescu (Z.
Angew.
Math.
Phys. 68, 80 (2017)) and M.
M Boureanu
(Discrete Contin.
Dyn.
Syst.
Ser S, 12 (2) : 231-243 (2019)).
Ключевые слова:
Leray–Lions type operators, variational methods, generalized Sobolev space, fourth-order
partial differential equations, variable exponents, Ekeland's variational principle.
Поступило: 17.11.2020 Исправленный вариант: 20.06.2021
Образец цитирования:
M. Mosa Al-Shomrani, M. Ben Mohamed Salah, A. Ghanmi, K. Kefi, “Existence Results for Nonlinear Elliptic Equations
with Leray–Lions Operators in Sobolev Spaces
with Variable Exponents”, Math. Notes, 110:6 (2021), 830–841
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/mzm13376
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