7 citations · 7 across the 4 of their papers we have counts for
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Normalized solutions for a class of gradient-type Schrödinger systems under Neumann boundary conditions in bounded domains
Xiaojun Chang, Yuxin Li, Yohei Sato +1
We investigate the existence of normalized solutions to the gradient-type Schrödinger system \begin{equation*} \begin{cases} -Δu+ V_1(x)u+λu= uv^2 & \text{ in } Ω,\\ -Δv+ V_2(x)v+λ…
Weak Harnack inequality and Cartan property for nonlocal -minimizers
Panu Lahti, Yuxin Li, Khanh Nguyen
We establish a weak Harnack inequality for nonlocal -subminimizers in a complete, connected, doubling metric measure space where . As a corollary, we prove that $W^…
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*} -Δu-uΔ(u^2)+λu=τ|…
Normalized solutions for Sobolev critical Schrödinger-Bopp-Podolsky systems
Yuxin Li, Xiaojun Chang, Zhaosheng Feng
We study the Sobolev critical Schrödinger-Bopp-Podolsky system \begin{gather*} -Δu+ϕu=λu+μ|u|^{p-2}u+|u|^4u\quad \text{in }\mathbb{R}^3, -Δϕ+Δ^2ϕ=4πu^2\quad \text{in } \mathbb{R}^3…