Normalized solutions to nonlinear Schrödinger equations with competing Hartree-type nonlinearities (Q6594774)

scientific article; zbMATH DE number 7903095

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English	Normalized solutions to nonlinear Schrödinger equations with competing Hartree-type nonlinearities	scientific article; zbMATH DE number 7903095

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instance of

scholarly article

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title

Normalized solutions to nonlinear Schrödinger equations with competing Hartree-type nonlinearities (English)

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Mathematische Nachrichten

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publication date

28 August 2024

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zbMATH Keywords

nonlinear Schrödinger equation

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Hartree-type nonlinearity

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existence of ground states

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Existence and stability of a two-parameter family of solitary waves for an NLS-KdV system

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Normalized solutions for a system of coupled cubic Schrödinger equations on $\mathbb R^3$

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A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems

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Multiple normalized solutions for a competing system of Schrödinger equations

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Normalized solutions of nonlinear Schrödinger equations

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Normalized solutions for a coupled Schrödinger system

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Ground state energy threshold and blow-up for NLS with competing nonlinearities

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Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces

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On dipolar quantum gases in the unstable regime

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Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations

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Stable standing waves for a class of nonlinear Schrödinger-Poisson equations

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Nonlinear scalar field equations. I: Existence of a ground state

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Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime

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On ground state of spinor Bose-Einstein condensates

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Standing waves with prescribed mass for the Schrödinger equations with van der Waals type potentials

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Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle

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Q4434430

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Orbital stability of standing waves for some nonlinear Schrödinger equations

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Existence and dynamics of normalized solutions to nonlinear Schrödinger equations with mixed fractional Laplacians

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Stationary Waves with Prescribed $L^2$-Norm for the Planar Schrödinger--Poisson System

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On blow-up criterion for the nonlinear Schrödinger equation

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Q3279178

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Dual variational methods and nonvanishing for the nonlinear Helmholtz equation

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On the Orbital Stability of Standing-Wave Solutions to a Coupled Non-Linear Klein-Gordon Equation

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Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents

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Q4272029

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Q4523969

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On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations

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Existence and orbital stability of standing waves to nonlinear Schrödinger system with partial confinement

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Existence and orbital stability of standing waves for nonlinear Schrödinger systems

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Multiple positive normalized solutions for nonlinear Schrödinger systems

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Normalized solutions to the Chern-Simons-Schrödinger system

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Existence of solutions with prescribed norm for semilinear elliptic equations

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Multiple normalized solutions for a Sobolev critical Schrödinger-Poisson-Slater equation

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Multiple normalized solutions for a Sobolev critical Schrödinger equation

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A mass supercritical problem revisited

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Prescribed mass standing waves for energy critical Hartree equations

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On nonlinear Schrödinger equations. II: $H^ S$-solutions and unconditional well-posedness

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Perturbation theory for linear operators.

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Endpoint Strichartz estimates

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Well-posedness for semi-relativistic Hartree equations of critical type

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Analysis.

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Positive solutions to nonlinear $p$-Laplace equations with Hardy potential in exterior domains

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The concentration-compactness principle in the calculus of variations. The locally compact case. I

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The concentration-compactness principle in the calculus of variations. The locally compact case. II

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Normalized standing waves for the Hartree equations

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Normalized solutions for Schrödinger system with quadratic and cubic interactions

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Normalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficient

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Emergent nonlinear phenomena in Bose-Einstein condensates. Theory and experiment

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Q3610070

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Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics

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Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains

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Orbital stability of solitary waves for a nonlinear Schrödinger system

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Orbital stability of solitary waves of a 3-coupled nonlinear Schrödinger system

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Existence and stability of a two-parameter family of solitary waves for a 2-coupled nonlinear Schrödinger system

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Remarks on proofs of conservation laws for nonlinear Schrödinger equations

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Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term

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Normalized ground states for the NLS equation with combined nonlinearities

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Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case

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Nonlinear Schrödinger equations and sharp interpolation estimates

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Schrödinger equations with van der Waals type potentials

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Mass minimizers and concentration for nonlinear Choquard equations in ${\mathbb R}^N$

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On blow-up for the Hartree equation

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Identifiers

zbMATH Open document ID

1547.35211

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Mathematics Subject Classification ID

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10.1002/MANA.202200443

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Sitelinks

Mathematics(1 entry)

mardi Publication:6594774