Existence and Stability of Standing Waves for a Class of Inhomogeneous Nonlinear Schrödinger Equations with $L^{2}$-Critical Nonlinearity

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2024年12月7日

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Xinyan Liu,
Xiaoguang Li,
Li Zhang

摘要

We study the existence and orbital stability of standing waves for a class of Schrödinger equations with $L^{2}$ $L^{2}$ -critical nonlinearity. By considering a minimization problem with bounded potentials, the existence of standing waves is shown by means of the concentration-compactness argument. Moreover, we establish the orbital stability of standing waves.

Existence and Stability of Standing Waves for a Class of Inhomogeneous Nonlinear Schrödinger Equations with \(L^{2}\)-Critical Nonlinearity

摘要