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”, Матем. заметки, 2021, том 110, выпуск 6,страницы 830

Эта публикация цитируется в 2 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-Shomrani^a, M. Ben Mohamed Salah^b, A. Ghanmi^b, K. Kefi^c

^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

Язык публикации: английский