Pohozaev manifold constraint for solving nonlinear Schrödinger equations with potentials vanishing at infinity

Liliane A. Maia; Gilberto S. Pina; Ricardo Ruviaro

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arXiv · 2006.14687

Pohozaev manifold constraint for solving nonlinear Schrödinger equations with potentials vanishing at infinity

Liliane A. Maia·Gilberto S. Pina·Ricardo Ruviaro

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Abstract

Existence of a positive solution for a class of nonlinear Schrödinger 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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Liliane A. Maia, Gilberto S. Pina, Ricardo Ruviaro. 2020-06-25. Pohozaev manifold constraint for solving nonlinear Schrödinger equations with potentials vanishing at infinity. https://arxiv.org/abs/2006.14687

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