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arXiv · 1805.03791

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

Hui Yang·Wenming Zou
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Abstract

In this paper, we prove the exact asymptotic behavior of singular positive solutions of fractional semi-linear equations $$(-\Delta)^\sigma u = u^p~~~~~~~~in ~~ B_1\backslash \{0\}$$ 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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Hui Yang, Wenming Zou. 2018-05-10. Exact Asymptotic Behavior of Singular Positive Solutions of Fractional Semi-Linear Elliptic Equations. https://arxiv.org/abs/1805.03791

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