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.
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Funding
The authors extend their appreciation to the Deanship of Scientific Research at Northern Border University, Arar, KSA for funding this research work through the project number “NBU-FFR-2023-0079.” B. Ge’s research was supported by the Natural Science Foundation of Heilongjiang Province of China (no. LH2023A007) as well as by the Fundamental Research Funds for the Central Universities (no. 3072022TS2402), the National Natural Science Foundation of China (no. 11201095), the Postdoctoral research startup foundation of Heilongjiang (no. LBH-Q14044), and the Science Research Funds for Overseas Returned Chinese Scholars of Heilongjiang Province (no. LC201502).
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Kefi, K., Ge, B. On the \(p(x)\)-Curl-System Problem with Indefinite Weight and Nonstandard Growth Conditions. Math Notes 114, 1238–1246 (2023). https://doi.org/10.1134/S0001434623110561
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DOI: https://doi.org/10.1134/S0001434623110561