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Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth

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Abstract

In this paper, we investigate the removable problem of isolated singularities for fourth order elliptic equations with nonstandard growth. Based on Moser’s iteration technique, the sufficient condition is found for removability of singularity for the fourth order elliptic equations in the framework of variable exponent Sobolev spaces.

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Acknowledgements

Y. Shan was supported by the National Natural Science Foundation of China (Grant No. 11771107 and No. 11801120), the Research Funding of Heilongjiang Province(Grant No. 2020-KYYWF-1016) and the Youth Innovation Talents of Heilongjiang Education Department(Grant No. UNPYSCT-2020009). B. Zhang was supported by the National Natural Science Foundation of China (No. 11871199), the Shandong Provincial Natural Science Foundation, PR China (No. ZR2020MA006), and the Cultivation Project of Young and Innovative Talents in Universities of Shandong Province.

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  1. School of Mathematical Sciences, Heilongjiang University, Harbin, 150080, People’s Republic of China

    Yingying Shan

  2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People’s Republic of China

    Binlin Zhang

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  1. Yingying Shan
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Correspondence to Binlin Zhang.

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Shan, Y., Zhang, B. Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth. Potential Anal 59, 153–166 (2023). https://doi.org/10.1007/s11118-021-09964-7

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