\`x^2+y_1+z_12^34\`
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On $ L^p $ estimates for a simplified Ericksen-Leslie system

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J.R. Huang is partially supported by the National Natural Science Foundation of China (Grant Nos. 11971357, 11871005, 11771155 and 11571117), and by the Natural Science Foundation of Guangdong Province (Grant No. 2019A1515011491). W.J. Wang is partially supported by the National Natural Science Foundation of China (Grant No. 11871341). H.Y. Wen is partially supported by the National Natural Science Foundation of China (Grant Nos. 11671150, 11722104), and by GDUPS (2016)

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