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math.AP2026
Normalized solutions for a class of gradient-type Schrödinger systems under Neumann boundary conditions in bounded domains
Xiaojun Chang, Yuxin Li, Yohei Sato +1
We investigate the existence of normalized solutions to the gradient-type Schrödinger system \begin{equation*} \begin{cases} -Δu+ V_1(x)u+λu= uv^2 & \text{ in } Ω,\\ -Δv+ V_2(x)v+λ…
math.AP2026
Weak Harnack inequality and Cartan property for nonlocal -minimizers
Panu Lahti, Yuxin Li, Khanh Nguyen
We establish a weak Harnack inequality for nonlocal -subminimizers in a complete, connected, doubling metric measure space where . As a corollary, we prove that $W^…