From the 1 of 6 linked papers with an AI index.
6 papers
Segregated Bubbling Solutions for a Critical Schrödinger System of Brezis--Nirenberg Type with Sublinear Competitive Coupling
Qing Guo, Chengxiang Zhang
The paper constructs solutions with two separate bubbling peaks for a critical two‑component Schrödinger system with competitive coupling, where each component concentrates at a di…
Uniqueness of bound states for sublinear elliptic equations
Chengxiang Zhang, Xu Zhang
We investigate the uniqueness of radial bound state solutions to the sublinear elliptic equation \[ \begin{cases} -Îu - u + |u|^{q-2}u = 0 & \text{in } \mathbb{R}^n,\cr u(x) \to 0…
Sharp endpoint multilinear estimates for oscillatory integrals and spectral clusters
Shengwen Gan, Cheng Zhang, Zhifei Zhu
We prove sharp -linear estimates for Carleson--Sjölin oscillatory integral operators with arbitrary separated frequency scales for all and . Th…
Segregated Solutions to Critical Elliptic Systems in High Dimensions ()
Zijuan Gao, Qing Guo, Chengxiang Zhang
We study the existence of multiple segregated solutions to the critical coupled Schrödinger system \[ \begin{cases} -Îu_{1} = K_1(| y|) | u_{1}|^{2^*-2}u_{1}+β| u_{2}|^{\frac{2^…
Segregated solutions for nonlinear Schrödinger systems with sublinear coupling terms
Qing Guo, Chengxiang Zhang
We establish the existence of infinitely many nonnegative, segregated solutions for the sublinearly coupled Schrödinger system \begin{equation*} \left\{\begin{aligned}-Îu+K_1(x)u…
Uniqueness and Nondegeneracy of ground states of $ -Îu + (-Î)^s u+u = u^{p+1} \quad \hbox{in $\mathbb{R}^n$}$ when is close to and
Xifeng Su, Chengxiang Zhang, Jiwen Zhang
We are concerned with the mixed local/nonlocal Schrödinger equation \begin{equation} - Îu + (-Î)^s u+u = u^{p+1} \quad \hbox{in ,} \end{equation} for arbitrary spa…