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math.AP2024
On the existence of multiple normalized solutions for a class of fractional Choquard equations with mixed nonlinearities
Yongpeng Chen, Zhipeng Yang, Jianjun Zhang
We investigate the existence of normalized solutions for the following nonlinear fractional Choquard equation: $$ (-Δ)^s u+V(εx)u=λu+\left(I_α*|u|^q\right)|u|^{q-2} u+\left(I_α*|u|…
math.AP2024
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^*…