Localization of normalized solutions for saturable nonlinear Schrödinger equations (Q6084690)

scientific article; zbMATH DE number 7761597

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English	Localization of normalized solutions for saturable nonlinear Schrödinger equations	scientific article; zbMATH DE number 7761597

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instance of

scholarly article

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title

Localization of normalized solutions for saturable nonlinear Schrödinger equations (English)

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Science China. Mathematics

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publication date

6 November 2023

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zbMATH Keywords

saturable nonlinear Schrödinger equation

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normalized solutions

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semiclassical states

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local maximum potential

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MaRDI profile type

MaRDI publication profile

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cites work

Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity

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Q3431230

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

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Standing waves with a critical frequency for nonlinear Schrödinger equations

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Standing waves for nonlinear Schrödinger equations with singular potentials

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Orbital stability of standing waves for some nonlinear Schrödinger equations

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Infinitely many bound states for some nonlinear scalar field equations

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Localized nodal solutions of higher topological type for semiclassical nonlinear Schrödinger equations

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ORBITAL STABILITY OF STANDING WAVES FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH POTENTIAL

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Q3993273

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Local mountain passes for semilinear elliptic problems in unbounded domains

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Semi-classical states for nonlinear Schrödinger equations

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Semi-classical states of nonlinear Schrödinger equations: a variational reduction method

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Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

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Elliptic partial differential equations of second order

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Ground states of nonlinear Schrödinger systems with saturable nonlinearity in $\mathbb {R}^2$R2 for two counterpropagating beams

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The virial theorem and ground state energy estimates of nonlinear Schrödinger equations in $\mathbb{R}^2$ with square root and saturable nonlinearities in nonlinear optics

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Orbital stability and energy estimate of ground states of saturable nonlinear Schrödinger equations with intensity functions in $\mathbb{R}^2$

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Multiple positive solutions of saturable nonlinear Schrödinger equations with intensity functions

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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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Localized nodal solutions for quasilinear Schrödinger equations

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Weakly coupled nonlinear Schrödinger systems: the saturation effect

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Singularly perturbed elliptic problems with nonautonomous asymptotically linear nonlinearities

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Oscillating solutions for nonlinear Helmholtz equations

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Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials

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On a class of nonlinear Schrödinger equations

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On concentration of positive bound states of nonlinear Schrödinger equations

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On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions

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Existence and concentration of ground states for saturable nonlinear Schrödinger equations with intensity functions in $\mathbb{R}^2$

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Normalized multi-bump solutions for saturable Schrödinger equations

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Concentration of nodal solutions for logarithmic scalar field equations

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Identifiers

zbMATH Open document ID

1527.35394

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DOI

10.1007/s11425-022-2052-1

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6084690