论文标题
NLS方程的基态在非紧凑型公制上具有合并的非线性
Ground states for the NLS equation with combined nonlinearities on non-compact metric graphs
论文作者
论文摘要
我们在一般的非压缩度量图$ \ Mathcal {g} $上研究了NLS能量的规定质量的基态存在。不同的非线性之间的相互作用在图表上纯粹的关键或亚临界问题创造了新的现象。从不同的角度来看，基础图的拓扑和度量特性严重影响了基础态在真实线上的模拟问题方面的存在和不存在。
We investigate the existence of ground states with prescribed mass for the NLS energy with combined $L^2$-critical and subcritical nonlinearities, on a general non-compact metric graph $\mathcal{G}$. The interplay between the different nonlinearities creates new phenomena with respect to purely critical or subcritical problems on graphs; from a different perspective, topological and metric properties of the underlying graph drastically influence existence and non-existence of ground states with respect to the analogue problem on the real line.
