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The fractional Hénon-Lane-Emden conjecture and some critical nonexistence phenomena
We refine the proof method for the Hénon-Lane-Emden system and extend it to fractional orders $0<s<1$, proving subcritical nonexistence of positive classical solutions. And we find examples with $0<s<1/2$ and fixed nonzero weights for which existence and nonexistence occur at different points of the
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