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Pohozaev manifold constraint for solving nonlinear Schrödinger equations with potentials vanishing at infinity (2006.14687v1)
Published 25 Jun 2020 in math.AP
Abstract: Existence of a positive solution for a class of nonlinear Schr\"odinger equations with potentials which decay to zero at infinity, with an appropriate rate, approaching zero mass type limit scalar field equations, is established via a new composition of two translated and dilated solitons and its projection on the so called Pohozaev manifold.
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