Existence and concentration of semi-classical ground state solutions for Chern-Simons-Schrödinger system (Q2033106)

scientific article; zbMATH DE number 7358633

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English	Existence and concentration of semi-classical ground state solutions for Chern-Simons-Schrödinger system	scientific article; zbMATH DE number 7358633

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instance of

scholarly article

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title

Existence and concentration of semi-classical ground state solutions for Chern-Simons-Schrödinger system (English)

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Qualitative Theory of Dynamical Systems

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publication date

14 June 2021

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zbMATH Keywords

Chern-Simons-Schrödinger system

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semi-classical solution

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ground state solutions

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concentration

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variational methods

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s12346-021-00480-y

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cites work

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

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Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrodinger equation

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Standing waves of nonlinear Schrödinger equations with the gauge field

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Existence and concentration of semiclassical ground state solutions for the generalized Chern-Simons-Schrödinger system in $H^1(\mathbb{R}^2)$

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A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity

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Nodal standing waves for a gauged nonlinear Schrödinger equation in $\mathbb{R}^2$

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Elliptic partial differential equations of second order

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Chern-Simons limit of the standing wave solutions for the Schrödinger equations coupled with a neutral scalar field

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Standing waves of the Schrödinger equation coupled with the Chern-Simons gauge field

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Soliton solutions to the gauged nonlinear Schrödinger equation on the plane

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Standing waves for the Chern-Simons-Schrödinger equation with critical exponential growth

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Normalized solutions for the Chern–Simons–Schrödinger equation in R^2

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Sign-changing solutions to a gauged nonlinear Schrödinger equation

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Existence and concentrate behavior of positive solutions for Chern–Simons–Schrödinger systems with critical growth

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A positive ground state solution for a class of asymptotically periodic Schrödinger equations

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Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrödinger equation in $ \newcommand{\R}{\bf {\mathbb R}} \R^2$

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Existence of groundstates for a class of nonlinear Choquard equations

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Infinitely many standing waves for the nonlinear Chern-Simons-Schrödinger equations

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Concentration of semi-classical solutions to the Chern-Simons-Schrödinger systems

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The existence of nontrivial solutions to Chern-Simons-Schrödinger systems

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Minimax theorems

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Sign-changing solutions for the nonlinear Chern–Simons–Schrödinger equations

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Multiple normalized solutions of Chern-Simons-Schrödinger system

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Identifiers

zbMATH Open document ID

1467.35031

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Mathematics Subject Classification ID

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10.1007/S12346-021-00480-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:2033106