Work

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

Year: 2020

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2006.14687

Authors: Maia, Liliane A., Pina, Gilberto S., Ruviaro, Ricardo

Institutions: Universidade de Brasília, Universidade Federal do Recôncavo da Bahia

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3037239378

Cites: 17

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Related to: 10