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Exact Asymptotic Behavior of Singular Positive Solutions of Fractional Semi-Linear Elliptic Equations

Published 10 May 2018 in math.AP | (1805.03791v1)

Abstract: In this paper, we prove the exact asymptotic behavior of singular positive solutions of fractional semi-linear equations $$(-\Delta)\sigma u = up~~~~~~~~in ~~ B_1\backslash {0}$$ with an isolated singularity, where $\sigma \in (0, 1)$ and $\frac{n}{n-2\sigma} < p < \frac{n+2\sigma}{n-2\sigma}$.

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Authors (2)

  1. Hui Yang 
  2. Wenming Zou 

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