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Uniqueness and Nondegeneracy of Ground States for $(-\Delta)^s Q + Q - Q^{\alpha+1} = 0$ in $\R$
Uniqueness Nondegeneracy of Ground States
2010/12/9
We prove uniqueness of ground state solutions Q = Q(|x|) > 0 for the nonlinear equation (−)sQ + Q − Q +1 = 0 in R,where 0 < s < 1 and 0 < < 4s 1−2s for s < 1/2 and 0 < < 1 for s...