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

DOI10.1080/17476933.2020.1863383zbMath1489.35099OpenAlexW3118290062WikidataQ115549540 ScholiaQ115549540MaRDI QIDQ5071713

Liejun Shen

Publication date: 22 April 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1863383

zbMATH Keywords

gauged nonlinear Schrödinger equationexistence of least energy sign-changing solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Related Items (1)

Ground state sign-changing solutions for the Chern-Simons-Schrödinger equation with zero mass potential

Cites Work

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• On standing waves with a vortex point of order \(N\) for the nonlinear Chern-Simons-Schrödinger equations
• Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
• Global wellposedness of the equivariant Chern-Simons-Schrödinger equation
• Standing waves of nonlinear Schrödinger equations with the gauge field
• Infinitely many positive solutions for nonlinear equations with non-symmetric potentials
• A variational analysis of a gauged nonlinear Schrödinger equation
• Standing waves for the Chern-Simons-Schrödinger equation with critical exponential growth
• Multiple normalized solutions for a planar gauged nonlinear Schrödinger equation
• Multiplicity of positive and nodal solutions for scalar field equations
• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Nonlinear scalar field equations. I: Existence of a ground state
• Partial symmetry of least energy nodal solutions to some variational problems
• A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity
• A nonhomogeneous elliptic problem involving critical growth in dimension two
• Existence of solitary waves in higher dimensions
• A sign-changing solution for a superlinear Dirichlet problem
• Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
• Nodal standing waves for a gauged nonlinear Schrödinger equation in \(\mathbb{R}^2\)
• A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
• \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
• Multiple solutions of differential equations without the Palais-Smale condition
• Nehari's problem and competing species systems.
• Minimax theorems
• Sign-changing multi-bump solutions for the Chern-Simons-Schrödinger equations in \(\mathbb{R} ^2\)
• Sign-changing solutions to a gauged nonlinear Schrödinger equation
• Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
• Sign-changing solutions to a \(N\)-Kirchhoff equation with critical exponential growth in \(\mathbb{R}^N\)
• Standing waves for the Chern-Simons-Schrödinger systems without (AR) condition
• Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
• Boundary concentration of a gauged nonlinear Schrödinger equation on large balls
• Existence and concentration of solutions for the Chern-Simons-Schrödinger system with general nonlinearity
• Standing waves for a gauged nonlinear Schrödinger equation with a vortex point
• Standing waves of the Schrödinger equation coupled with the Chern-Simons gauge field
• Local Wellposedness of Chern–Simons–Schrödinger
• Sign Changing Solutions of Superlinear Schrödinger Equations
• Ground state solutions for a class of gauged Schrödinger equations with subcritical and critical exponential growth
• Existence of ground states for a modified nonlinear Schrödinger equation
• Blow-up solutions of the Chern–Simons–Schrödinger equations
• Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
• Existence of positive solution for a planar Schrödinger-Poisson system with exponential growth
• Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrodinger equation
• Self-Dual Chern-Simons Theories
• Infinitely Many Positive Solutions to Some Scalar Field Equations with Nonsymmetric Coefficients
• Sign-changing solutions for the nonlinear Chern–Simons–Schrödinger equations
• Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrödinger equation in $ \newcommand{\R}{\bf {\mathbb R}} \R^2$
• Multiple solutions for logarithmic Schrödinger equations
• Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations

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