most citedBound states for logarithmic Schrodinger equations with potentials unbounded below

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math.AP2023

Normalized clustering peak solutions for Schrödinger equations with general nonlinearities

Chengxiang Zhang, Xu Zhang

We are concerned with the normalized -peak solutions to the nonlinear Schrödinger equation \[ -\varepsilon^2Δv+V(x)v=f(v)+λv,\quad \int_{\mathbb{R}^N}v^2 =α\varepsilon^N. \]…

math.AP2019★ 1 cited

Bound states for logarithmic Schrodinger equations with potentials unbounded below

Chengxiang Zhang, Xu Zhang

We study the existence and concentration behavior of the bound states for the following logarithmic Schrödinger equation \begin{equation*} \begin{cases} -\varepsilon^2Δv+V(x)v=v\lo…