Search Results for author: Tatsuki Kawakami

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On weak solutions to a fractional Hardy-Hénon equation: Part II: Existence

no code implementations11 Feb 2021 Shoichi Hasegawa, Norihisa Ikoma, Tatsuki Kawakami

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 $N > 2s$.

Analysis of PDEs 35R11, 35B09, 35B33, 35B35, 35D30

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