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Following the constructive method of Wei and Yan [22], with new ingredients to take care of n = 3, we prove the existence of infinitely many solutions of the Hénon equation − u = |x| α u n+2 n−2 in the unit ball of R n (n 3, α > 0) with the Dirichlet boundary condition.

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We prove the existence of multiple positive solutions of fractional Laplace problems with critical growth by using the method of monotonic iteration and variational methods.