Матем. заметки,
2023 , том 114, выпуск 6, страницы 1238–1246
(Mi mzm14281)
On the $p(x)$ -Curl-System Problem with Indefinite Weight and Nonstandard Growth Conditions K. Kefi ab ,
B. Ge c a Faculty of Computing and Information Technology, Northern Border University, Rafha, 76413, Kingdom of Saudi Arabia b Faculty of Sciences, University of Tunis El-Manar, Tunis, 1060, Tunisia c School of Mathematical Sciences, Harbin Engineering University, Harbin, 150001, China Аннотация:
We prove the existence of at least one weak solution for the
$p(x)$ -Curl systems with nonstandard growth conditions. The proof of our main result uses Ekeland's variational method.
Ключевые слова:
curl $p(x)$ -system, Ekeland's variational method, generalized Sobolev space, variable exponent. Поступило: 25.02.2022
Исправленный вариант: 31.08.2023
Язык публикации: английский
© , 2024
