论文标题

具有质量关键指数的非线性schrödinger系统的轨道稳定性和浓度

Orbital stability and concentration of standing waves to nonlinear Schrödinger systems with mass critical exponent

论文作者

Garrisi, Daniele, Gou, Tianxiang

论文摘要

对于具有质量关键指数的非线性schrödinger系统,我们证明了作为基础能量功能的最小化者获得的站立溶液的存在和轨道稳定性,仅限于双重质量约束。此外,我们讨论了一系列最小化器的浓度,因为它们的质量接近某些临界质量。

For a nonlinear Schrödinger system with mass critical exponent, we prove the existence and orbital stability of standing-wave solutions obtained as minimizers of the underlying energy functional restricted to a double mass constraint. In addition, we discuss the concentration of a sequence of minimizers as their masses approach to certain critical masses.

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