Sign-changing solutions to a gauged nonlinear Schrödinger equation with critical exponential growth (Q5071713)

scientific article; zbMATH DE number 7512015

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English	Sign-changing solutions to a gauged nonlinear Schrödinger equation with critical exponential growth	scientific article; zbMATH DE number 7512015

Statements

instance of

scholarly article

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title

Sign-changing solutions to a gauged nonlinear Schrödinger equation with critical exponential growth (English)

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author

Liejun Shen

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published in

Complex Variables and Elliptic Equations

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publication date

22 April 2022

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zbMATH Keywords

gauged nonlinear Schrödinger equation

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existence of least energy sign-changing solutions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/17476933.2020.1863383

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cites work

Q4510140

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Self-Dual Chern-Simons Theories

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Standing waves of nonlinear Schrödinger equations with the gauge field

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

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Local Wellposedness of Chern–Simons–Schrödinger

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Global wellposedness of the equivariant Chern-Simons-Schrödinger equation

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A variational analysis of a gauged nonlinear Schrödinger equation

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

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Q3333435

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

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Nonlinear scalar field equations. II: Existence of infinitely many solutions

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

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

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

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

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Standing waves for a gauged nonlinear Schrödinger equation with a vortex point

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Q4528793

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Multiple normalized solutions 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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Ground state solutions for a class of gauged Schrödinger equations with subcritical and critical exponential growth

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Existence and concentration of solutions for the Chern-Simons-Schrödinger system with general nonlinearity

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

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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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Sign-changing multi-bump solutions for the Chern-Simons-Schrödinger equations in $\mathbb{R} ^2$

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Sign-changing solutions to a gauged nonlinear Schrödinger equation

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

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Minimax theorems

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Infinitely many positive solutions for nonlinear equations with non-symmetric potentials

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Infinitely many radial solutions of a semilinear elliptic problem on $\mathbb{R}^ N$

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Sign Changing Solutions of Superlinear Schrödinger Equations

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Partial symmetry of least energy nodal solutions to some variational problems

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Q3821005

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Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations

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Infinitely Many Positive Solutions to Some Scalar Field Equations with Nonsymmetric Coefficients

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Multiplicity of positive and nodal solutions for scalar field equations

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Existence of solitary waves in higher dimensions

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Multiple solutions of differential equations without the Palais-Smale condition

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Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains

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Sign-changing solutions for the nonlinear Schrödinger-Poisson system in $\mathbb {R}^3$

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Sign-changing solutions to a $N$-Kirchhoff equation with critical exponential growth in $\mathbb{R}^N$

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Nehari's problem and competing species systems.

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Multiple solutions for logarithmic Schrödinger equations

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

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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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A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb R^2$

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Ground state sign-changing solutions for Kirchhoff type problems in bounded domains

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Existence of positive solution for a planar Schrödinger-Poisson system with exponential growth

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Existence of ground states for a modified nonlinear Schrödinger equation

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A sign-changing solution for a superlinear Dirichlet problem

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Identifiers

zbMATH Open document ID

1489.35099

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DOI

10.1080/17476933.2020.1863383

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5071713