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Segregated Bubbling Solutions for a Critical Schrödinger System of Brezis--Nirenberg Type with Sublinear Competitive Coupling
Qing Guo, Chengxiang Zhang
We construct segregated bubbling solutions for a two-component critical Schrödinger system of Brezis--Nirenberg type in a smooth bounded domain , , wit…
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} -Δu - u + |u|^{q-2}u = 0 & \text{in } \mathbb{R}^n,\cr u(x) \to 0…
Multi-bump solutions for sublinear elliptic equations with nonsymmetric coefficients
Chengxiang Zhang, Xu Zhang
We investigate the existence of nonnegative bump solutions to the sublinear elliptic equation \[ \begin{cases} -Δv - K(x)v + |v|^{q-2}v = 0 & \text{in } \mathbb{R}^N, \\ v(x) \to 0…
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}-Δu+K_1(x)u&=…
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} -Δu_{1} = K_1(| y|) | u_{1}|^{2^*-2}u_{1}+β| u_{2}|^{\frac{2^{*}…
Uniqueness and Nondegeneracy of ground states of $ -Δu + (-Δ)^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} - Δu + (-Δ)^s u+u = u^{p+1} \quad \hbox{in ,} \end{equation} for arbitrary space…