We obtain uniqueness and nondegeneracy results for ground states of Choquard equations −∆u+u = |x| −1 * |u| p |u| p−2 u in R 3 , provided that p > 2 and p is sufficiently close to 2.
Abstract. Optimal estimates on the asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations
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