From the 1 of 8 linked papers with an AI index.
8 papers
Normalized solutions for a class of gradient-type Schrödinger systems under Neumann boundary conditions in bounded domains
Xiaojun Chang, Yuxin Li, Yohei Sato +1
The paper proves the existence of nontrivial normalized solutions for a coupled gradient-type Schrödinger system with Neumann boundary conditions in a bounded three‑dimensional dom…
Normalized solutions for a nonlinear Dirac equation with an inhomogeneous nonlinearity
Hao Wang, Xiaojun Chang
We study the existence of normalized solutions for the nonlinear Dirac equation \[ \begin{cases} -i\sum\limits_{k=1}^3α_k\partial_k u + mβu - |x|^{-b}|u|^{p-2}u = μu, \quad x\in…
Positive normalized solutions to a singular elliptic equation with a -supercritical nonlinearity
Siyu Chen, Xiaojun Chang, Jiazheng Zhou
This paper studies the existence of positive normalized solutions to the singular elliptic equation \[ -Îu + λu = u^{-r} + u^{p-1} \quad \text{in } Ω, \] with the Dirichlet boun…
Normalized solutions of supercritical NLS equations in exterior domains with inhomogeneous nonlinearities
Xiaojun Chang, Cong-Mei Li
This paper establishes the existence of normalized mountain pass solutions to the -supercritical nonlinear Schrödinger equation with inhomogeneous nonlinearity $|x|^{-α}|u|^…
Normalized solutions for a Sobolev critical quasilinear Schrödinger equation
Yuxin Li, Meijie Yang, Xiaojun Chang
In this paper, we study the existence of normalized solutions for the following quasilinear Schrödinger equation with Sobolev critical exponent: \begin{eqnarray*} -Îu-uÎ(u^2)+λ…
Positive normalized solutions of Schrödinger equations with Sobolev critical growth in bounded domains
Xiaojun Chang, Manting Liu, Duokui Yan
This paper investigates the existence of positive normalized solutions to the Sobolev critical Schrödinger equation: \begin{equation*} \left\{ \begin{aligned} &-Îu +λu =|u|^{2^*…