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- W2883571876 abstract "We consider the Lane-Emden conjecture which states that there is no non-trivial non-negative solution for the Lane-Emden system whenever the pair of exponents is subcritical. By Sobolev embeddings on $S^{N-1}$ and scale invariance of the solutions, we show this conjecture holds in a new region. Our methods can also be used to prove the Lane-Emden conjecture in space dimension $Nleq 4$, that is to give a different proof of the main result of Souplet in Adv. Math. 2009." @default.
- W2883571876 created "2018-08-03" @default.
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- W2883571876 date "2018-07-18" @default.
- W2883571876 modified "2023-09-27" @default.
- W2883571876 title "On the Lane-Emden conjecture" @default.
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