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math.AP2026
Constrained variational problems on perturbed lattice graphs
Weiqi Guan
In this paper, we solve some constrained variational problems on perturbed lattice graphs . The first problem addresses the existence of ground state normalized solutions to Sch…
math.AP2025
Existence of normalized solutions to nonlinear Schrödinger equations with potential on lattice graphs
Weiqi Guan
We study the existence of ground state normalized solution of the following Schrödinger equation: \begin{equation*} \begin{cases} -Îu+V(x)u+λu=f(x,u), & x\in\mathbb{Z}^d \\ \Ver…