K. Kefi, B. Ge, “On the <nobr>$p(x)$</nobr>-Curl-System Problem with Indefinite Weight and Nonstandard Growth Conditions”, Mat. Zametki, 2023, Volume 114, Issue 6,Pages <nobr>1238

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

Abstract: 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.

Keywords: curl $p(x)$-system, Ekeland's variational method, generalized Sobolev space, variable exponent.

Received: 25.02.2022
Revised: 31.08.2023

Language: English