34 citations · 90 across the 8 of their papers we have counts for
8 papers
Convergence of least energy sign-changing solutions for logarithmic Schrödinger equations on locally finite graphs
Xiaojun Chang, Vicenţiu D. Rădulescu, Ru Wang +1
In this paper, we study the following logarithmic Schrödinger equation \[ -Δu+λa(x)u=u\log u^2\ \ \ \ \mbox{ in }V \] on a connected locally finite graph , where denot…
Existence and instability of standing waves for the biharmonic nonlinear Schroedinger equation with combined nonlinearities
Xiaojun Chang, Hichem Hajaiej, Zhouji Ma +1
We prove the existence of normalized ground state solutions for the biharmonic Schrödinger equation with combined nonlinearities and show that all ground states correspond to the l…
Normalized solutions of -supercritical NLS equations on noncompact metric graphs with localized nonlinearities
Jack Borthwick, Xiaojun Chang, Louis Jeanjean +1
In this paper we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In a -…
Ground states for logarithmic Schrödinger equations on locally finite graphs
Xiaojun Chang, Ru Wang, Duokui Yan
In this paper, we study the following logarithmic Schrödinger equation \[ -Δu+a(x)u=u\log u^2\ \ \ \ \mbox{in }V, \] where is the graph Laplacian, is a connected loca…
Bounded Palais-Smale sequences with Morse type information for some constrained functionals
Jack Borthwick, Xiaojun Chang, Louis Jeanjean +1
In this paper, we study, for functionals having a mountain pass geometry on a constraint, the existence of bounded Palais-Smale sequences carrying Morse index type information.
Normalized ground states of nonlinear biharmonic Schrödinger equations with Sobolev critical growth and combined nonlinearities
Zhouji Ma, Xiaojun Chang
This paper is devoted to studying the following nonlinear biharmonic Schrödinger equation with combined power-type nonlinearities \begin{equation*} \begin{aligned} Δ^{2}u-λu=μ|u|^{…
Normalized ground state solutions of nonlinear Schrödinger equations involving exponential critical growth
Xiaojun Chang, Manting Liu, Duokui Yan
We are concerned with the following nonlinear Schrödinger equation \begin{eqnarray*} \begin{aligned} \begin{cases} -Δu+λu=f(u) \ \ {\rm in}\ \mathbb{R}^{2},\\ u\in H^{1}(\mathbb{R}…
Normalized solutions of -supercritical NLS equations on compact metric graphs
Xiaojun Chang, Louis Jeanjean, Nicola Soave
This paper is devoted to the existence of non-trivial bound states of prescribed mass for the mass-supercritical nonlinear Schrödinger equation on compact metric graphs. The invest…