Ground state solutions of the critical Lane-Emden system are non-degenerate near (1, (n+4)/(n-4)) for n≥5 and near ((n+2)/(n-2), (n+2)/(n-2)) for n≥3.
Rey, The role of the Green’s function in a nonlinear elliptic equation involving t he critical Sobolev exponent, J
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A perturbative approach to non-degeneracy of the Lane-Emden system
Ground state solutions of the critical Lane-Emden system are non-degenerate near (1, (n+4)/(n-4)) for n≥5 and near ((n+2)/(n-2), (n+2)/(n-2)) for n≥3.