Daomin Cao, Guolin Qin
Published 2019-11-20Version 1
In this paper, we first establish a decay estimate for solutions of the fractional order H\'enon-Lane-Emden system, which deduces a result of non-existence. In particular, we obtain a new region for the fractional Lane-Emden conjecture. We also consider fractional and higher-order fractional H\'enon-Lane-Emden system and derive a Liouville type theorem via the method of scaling spheres introduced in \cite{DQ2}.In this paper, we first establish a decay estimate for solutions of the fractional order H\'enon-Lane-Emden system, which deduces a result of non-existence. In particular, we obtain a new region for the fractional Lane-Emden conjecture. We also consider fractional and higher-order fractional H\'enon-Lane-Emden system and derive a Liouville type theorem via the method of scaling spheres introduced in \cite{DQ2}.
Liouville Type Theorem for Stationary Navier-Stokes Equations
Liouville type theorem for double Beltrami solutions of the Hall-MHD system in $\Bbb R^3$
Liouville type theorem for a class quasilinear $p$-Laplace type equation on the sphere
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