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4 papers
Existence and nonexistence of least energy positive solutions to critical Schrödinger systems with Hardy potential
Song You, Jianjun Zhang
We are concerned with the following coupled Schrödinger system with Hardy potential in the critical case \begin{equation*} \begin{cases} -Δu_{i}-\frac{λ_{i}}{|x|^2}u_{i}=|u_i|^{2^*…
Least energy positive soultions for -coupled Schrödinger systems with critical exponent in dimension three
Tianhao Liu, Song You, Wenming Zou
In the present paper, we consider the coupled Schrödinger systems with critical exponent: \begin{equation*} \begin{cases} -Δu_i+λ_{i}u_i=\sum\limits_{j=1}^{d} β_{ij}|u_j|^{3}|u_i|u…
Least energy positive solutions of critical Schrödinger systems with mixed competition and cooperation terms: the higher dimensional case
Hugo Tavares, Song You, Wenming Zou
Let be a smooth bounded domain. In this paper we investigate the existence of least energy positive solutions to the following Schrödinger system with $d\…
Existence of least energy positive solutions to Schrödinger systems with mixed competition and cooperation terms: the critical case
Hugo Tavares, Song You
In this paper we investigate the existence of solutions to the following Schrödinger system in the critical case \begin{equation*} -Δu_{i}+λ_{i}u_{i}=u_{i}\sum_{j = 1}^{d}β_{ij}u_{…