Stable standing waves of nonlinear Schrödinger equations with potentials and general nonlinearities

By N. Ikoma, Yasuhito Miyamoto. 2020

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Normalized solutions of mass supercritical Schrödinger equations with potential (2020, unknown): “This has been done in the recent paper [4] by Ikoma and Miyamoto who considered the problem Duþ VðxÞuþ ku 1⁄4 gðuÞ in R kuk2 1⁄4 q (”
Existence and asymptotic behavior of normalized ground states for Sobolev critical Schrödinger systems (2022, methodology): “We refer the reader to [7, 26, 27, 28, 29, 30, 39, 40, 43] for scalar equations, [8, 9, 10, 11, 14, 21, 22, 31] for systems of two equations, [35] for systems of k equations.”
Normalized solutions to mass supercritical Schrödinger equations with negative potential (2021, background): “In this respect, among many results, we refer the reader to the classical paper [23], and to the recent paper [20], where the existence of global minimizers is obtained for more general nonlinearities and for negative potentials, that is V ≥ 0 in our framework.”