DOI QR코드

DOI QR Code

RADIAL SYMMETRY OF POSITIVE SOLUTIONS TO A CLASS OF FRACTIONAL LAPLACIAN WITH A SINGULAR NONLINEARITY

  • Cao, Linfen (College of Mathematics and Information Science Henan Normal University) ;
  • Wang, Xiaoshan (School of Mathematical Sciences Nanjing Normal University)
  • 투고 : 2021.02.02
  • 심사 : 2021.05.25
  • 발행 : 2021.11.01

초록

In this paper, we consider the following nonlocal fractional Laplacian equation with a singular nonlinearity (-∆)su(x) = λuβ (x) + a0u (x), x ∈ ℝn, where 0 < s < 1, γ > 0, $1<{\beta}{\leq}\frac{n+2s}{n-2s}$, λ > 0 are constants and a0 ≥ 0. We use a direct method of moving planes which introduced by Chen-Li-Li to prove that positive solutions u(x) must be radially symmetric and monotone increasing about some point in ℝn.

키워드

과제정보

The first author is supported by NSFC (No.11671121, 11971153).

참고문헌

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