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- W4308100953 abstract "This paper and [29] treat the existence and nonexistence of stable weak solutions to a fractional Hardy--H'enon equation $(-Delta)^s u = |x|^ell |u|^{p-1} u$ in $mathbb{R}^N$, where $0 < s < 1$, $ell > -2s$, $p>1$, $N geq 1$ and $N > 2s$. In this paper, when $p$ is critical or supercritical in the sense of the Joseph--Lundgren, we prove the existence of a family of positive radial stable solutions, which satisfies the separation property. We also show the multiple existence of the Joseph--Lundgren critical exponent for some $ell in (0,infty)$ and $s in (0,1)$, and this property does not hold in the case $s=1$." @default.
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- W4308100953 date "2023-02-01" @default.
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- W4308100953 title "On weak solutions to a fractional Hardy–Hénon equation, Part II: Existence" @default.
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- W4308100953 doi "https://doi.org/10.1016/j.na.2022.113165" @default.
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