Existence of nontrivial solutions to Chern-Simons-Schrödinger system with indefinite potential (Q2056474)

scientific article; zbMATH DE number 7440391

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English	Existence of nontrivial solutions to Chern-Simons-Schrödinger system with indefinite potential	scientific article; zbMATH DE number 7440391

Statements

instance of

scholarly article

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title

Existence of nontrivial solutions to Chern-Simons-Schrödinger system with indefinite potential (English)

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Discrete and Continuous Dynamical Systems. Series S

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publication date

8 December 2021

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zbMATH Keywords

Chern-Simons-Schrödinger system

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indefinite potential

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existence

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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/10.3934/dcdss.2021016

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cites work

Existence and multiplicity results for some superlinear elliptic problems on R<sup>N</sup>

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Standing waves of nonlinear Schrödinger equations with the gauge field

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On standing waves with a vortex point of order \(N\) for the nonlinear Chern-Simons-Schrödinger equations

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Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R<sup />

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

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\(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth

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A nonhomogeneous elliptic problem involving critical growth in dimension two

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Normalized solutions to the Chern-Simons-Schrödinger system

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Blow-up solutions of the Chern–Simons–Schrödinger equations

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Soliton solutions to the gauged nonlinear Schrödinger equation on the plane

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Ground state radial sign-changing solutions for a gauged nonlinear Schrödinger equation involving critical growth

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Generalized linking theorem with an application to a semilinear Schrödinger equation

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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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Applications of local linking to critical point theory

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

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On superlinear Schrödinger equations with periodic potential

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Global wellposedness of the equivariant Chern-Simons-Schrödinger equation

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Local Wellposedness of Chern–Simons–Schrödinger

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Existence and stability of standing waves for a planar gauged nonlinear Schrödinger equation

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Boundary concentration of a gauged nonlinear Schrödinger equation on large balls

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A variational analysis of a gauged nonlinear Schrödinger equation

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Standing waves for the Chern-Simons-Schrödinger systems without (AR) condition

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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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Infinitely many solutions for a gauged nonlinear Schrödinger equation

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Identifiers

zbMATH Open document ID

1480.35163

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Mathematics Subject Classification ID

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10.3934/DCDSS.2021016

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Sitelinks

Mathematics(1 entry)

mardi Publication:2056474