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Existence of a positive solution for a class of nonlinear Schr\"odingerequations with potentials which decay to zero at infinity, with an appropriaterate, approaching zero mass type limit scalar field equations, is establishedvia a new composition of two translated and dilated solitons and its projectionon the so called Pohozaev manifold.

Pohozaev manifold constraint for solving nonlinear Schr\"odinger equations with potentials vanishing at infinity