论文标题

pohozaev流形的限制,用于求解无线性schrödinger方程的潜力消失在无穷大

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

论文作者

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

论文摘要

存在具有一个势势的一类非线性schrödinger方程的积极解决方案,其势为零,适当的速率接近零质量类型的标量量表方程,是通过两个翻译和扩张的孤子及其在所谓的POHOZAEV歧管上的新组成的组成来确定的。

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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