• Title/Summary/Keyword: positive-negative mixed powers

Search Result 1, Processing Time 0.017 seconds

PROPERTIES OF POSITIVE SOLUTIONS FOR THE FRACTIONAL LAPLACIAN SYSTEMS WITH POSITIVE-NEGATIVE MIXED POWERS

  • Zhongxue Lu;Mengjia Niu;Yuanyuan Shen;Anjie Yuan
    • Journal of the Korean Mathematical Society
    • /
    • v.61 no.3
    • /
    • pp.445-459
    • /
    • 2024
  • In this paper, by establishing the direct method of moving planes for the fractional Laplacian system with positive-negative mixed powers, we obtain the radial symmetry and monotonicity of the positive solutions for the fractional Laplacian systems with positive-negative mixed powers in the whole space. We also give two special cases.