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
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.