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math.AP2024
Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity
He Zhang, Haibo Chen, Shuai Yao +1
We investigate normalized solutions for a class of nonlinear Schrödinger (NLS) equations with potential and inhomogeneous nonlinearity on a bou…
math.AP2024
Standing waves with prescribed mass for Schrodinger equations with competing Van Der Waals type potentials
Shuai Yao, Hichem Hajaiej, Juntao Sun
We investigate standing waves with prescribed mass for a class of Schrodinger equations with competing Van Der Waals type potentials, arising in a model of non-relativistic bosonic…
math.AP2024
Existence and dynamical behaviour of vectorial standing waves with prescribed mass for Hartree-Fock type systems
Shuai Yao, Juntao Sun, Tsung-fang Wu
In this paper, we investigate vectorial standing waves with prescribed mass for the Hartree-Fock type system (HF system) with the double coupled feature. Such system is viewed as a…