标题： 关于半线性椭圆问题正径向解的唯一性和非退化性及其应用的注记 显示英文标题

标题： A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application

摘要： 在本文中，我们关注一类半线性椭圆方程的正径向解的唯一性和非退化性。 通过详细的ODE分析，我们将先前的结果扩展到非线性项可能具有次线性增长的情况。 作为应用，我们得到了修正的Schrödinger方程的基态的唯一性和非退化性。 显示英文摘要

摘要： In this paper, we are concerned with the uniqueness and the non-degeneracy of positive radial solutions for a class of semilinear elliptic equations. Using detailed ODE analysis, we extend previous results to cases where nonlinear terms may have sublinear growth. As an application, we obtain the uniqueness and the non-degeneracy of ground states for modified Schr\"odinger equations.