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- W2970541683 abstract "We prove the non-degeneracy for the critical Lane--Emden system $$ -Delta U = V^p,quad -Delta V = U^q,quad U, V > 0 quad text{in } mathbb{R}^N $$ for all $N ge 3$ and $p,q > 0$ such that $frac{1}{p+1} + frac{1}{q+1} = frac{N-2}{N}$. We show that all solutions to the linearized system around a ground state must arise from the symmetries of the critical Lane-Emden system provided that they belong to the corresponding energy space or they decay to 0 uniformly as the point tends to infinity." @default.
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- W2970541683 date "2019-08-29" @default.
- W2970541683 modified "2023-09-28" @default.
- W2970541683 title "Non-degeneracy for the critical Lane-Emden system" @default.
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