Abstract
In this paper, we obtain the existence of at least two nontrivial solutions for a class of p(x)-curl systems arising in electromagnetism. Some new criteria to guarantee that the existence of at least two solutions for the considered problem is established by using the variational approach in critical point theory, which extend and complement previously known results in the literature.
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Communicated by K Sandeep.
This work is supported by the National Natural Science Foundation of China (No. U1706227,11201095), the Youth Scholar Backbone Supporting Plan Project of Harbin Engineering University, the Fundamental Research Funds for the Central Universities (No. HEUCFM181102), the Postdoctoral research startup foundation of Heilongjiang (No. LBH-Q14044), the Science Research Funds for Overseas Returned Chinese Scholars of Heilongjiang Province (No. LC201502)
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Hou, GL., Ge, B., Zhang, BL. et al. Multiple solutions to a class of electromagnetic p(x)-curl systems. Indian J Pure Appl Math 52, 125–137 (2021). https://doi.org/10.1007/s13226-021-00075-y
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DOI: https://doi.org/10.1007/s13226-021-00075-y