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We prove the existence of cylindrical solutions to the semi-linear ellip- tic problem −4u+  k≥ 2 and f has a double-power behaviour, sub-critical at infinity and,super-critical near the origin. This result also implies the existence,of solitary waves,with,nonva- nishing angular momentum,for nonlinear Schrödinger and Klein-Gordon equations. 1I ntroduction

A nonlinear elliptic equation with singular potential and applications to nonlinear field equations