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<p>In this paper, we establish the direct method of moving planes for fractional Laplacian systems involving critical homogeneous positive-negative mixed powers. Using this method, we first obtain the radial symmetry and monotonicity of positive solutions for such systems defined on the whole space.</p>

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Properties of positive solutions for fractional Laplacian systems with critical homogeneous positive-negative mixed powers

  • 期刊论文

  • 发表日期：

    2026年4月7日

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  • Jianuo Li,
  • Zheng Liu,
  • Zhongxue Lü

摘要

In this paper, we establish the direct method of moving planes for fractional Laplacian systems involving critical homogeneous positive-negative mixed powers. Using this method, we first obtain the radial symmetry and monotonicity of positive solutions for such systems defined on the whole space.