Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one

DOI10.1016/j.jmaa.2020.124797zbMath1458.81017arXiv1907.07926OpenAlexW3106585586MaRDI QIDQ1996910

Simone Dovetta, Filippo Boni

Publication date: 28 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.07926

zbMATH Keywords

minimizationthreshold phenomenanonlinear Schrödingerfixed mass ground statespointwise nonlinearity

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (9)

Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect ⋮ Competing nonlinearities in NLS equations as source of threshold phenomena on star graphs ⋮ Ground states for the planar NLSE with a point defect as minimizers of the constrained energy ⋮ Doubly nonlinear Schrödinger ground states on metric graphs ⋮ NLS ground states on the half-line with point interactions ⋮ A general review on the NLS equation with point-concentrated nonlinearity ⋮ On the notion of ground state for nonlinear Schrödinger equations on metric graphs ⋮ Existence of normalized ground states for the Sobolev critical Schrödinger equation with combined nonlinearities ⋮ Ground States for the NLS Equation with Combined Nonlinearities on Noncompact Metric Graphs

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