4 papers · 1 filter
Blowing-up solutions to a critical 4D Neumann system in a competitive regime
Qing Guo, Angela Pistoia, Shixin Wen
We build blowing-up solutions to the critical elliptic system with Neumann boundary condition, \begin{equation*} \begin{cases} -Δu_1 + λu_1 = u_1^{3} -βu_1u_2^2 & \text{in } Ω, -Δu…
Segregated solutions for a class of systems with Lotka-Volterra interaction
Qing Guo, Angela Pistoia, Shixin Wen
This paper deals with the existence of positive solutions to the system $$ -Δw_1 - \varepsilon w_1 = μ_{1} w_1^{p} + βw_1 w_2\ \text{in } Ω,\ -Δw_2 - \varepsilon w_2 = μ_{2} w_2^{p…
Concentrating solutions of nonlinear Schrödinger systems with mixed interactions
Qing Guo, Angela Pistoia, Shixin Wen
In this paper we study the existence of solutions to nonlinear Schrödinger systems with mixed couplings of attractive and repulsive forces, which arise from the models in Bose-Eins…
Qualitative analysis to an eigenvalue problem of the Hartree type Brézis-Nirenberg problem
Kefan Pan, Shixin Wen, Jing Yang
In this paper, we are concerned with the critical Hartree equation \begin{equation*} \begin{cases} -Δu=\left(\displaystyle{\displaystyle{\int_Ω}}\frac{u^{2^{*}_μ}(y)}{|x-y|^μ}dy\ri…