Positive energy static solutions for the Chern-Simons-Schrödinger system under a large-distance fall-off requirement on the gauge potentials

DOI10.1007/S00526-021-02031-4zbMath1473.35190arXiv1911.01969OpenAlexW3186345404WikidataQ115386535 ScholiaQ115386535MaRDI QIDQ2048880

Alessio Pomponio, Antonio Azzollini

Publication date: 24 August 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.01969

zbMATH Keywords

existenceChern-Simons-Schrödinger system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

Related Items (9)

Critical gauged Schrödinger equations in \(\mathbb{R}^2\) with vanishing potentials ⋮ Ground states of Schrödinger systems with the Chern-Simons gauge fields ⋮ Finite energy standing waves for the Klein-Gordon-Maxwell system: the limit case ⋮ Ground states for Chern-Simons-Schrödinger system with nonperiodic potential ⋮ Standing wave solutions to the Maxwell-Chern-Simons-Schrödinger equations ⋮ Zero-mass gauged Schrödinger equations with supercritical exponential growth ⋮ Generalized Chern-Simons-Schrödinger system with sign-changing steep potential well: critical and subcritical exponential case ⋮ Standing wave solution for the generalized Jackiw-Pi model ⋮ Chern-Simons limit of ground state solutions for the Schrödinger equations coupled with a neutral scalar field

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On standing waves with a vortex point of order \(N\) for the nonlinear Chern-Simons-Schrödinger equations
• Global wellposedness of the equivariant Chern-Simons-Schrödinger equation
• Energy solution to the Chern-Simons-Schrödinger equations
• Standing waves of nonlinear Schrödinger equations with the gauge field
• A variational analysis of a gauged nonlinear Schrödinger equation
• The existence of nontrivial solutions to Chern-Simons-Schrödinger systems
• On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Multiple normalized solutions of Chern-Simons-Schrödinger system
• A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Functional analysis, Sobolev spaces and partial differential equations
• Magneto-static vortices in two-dimensional Abelian gauge theories
• Existence of solitary waves in higher dimensions
• Boundary concentration of a gauged nonlinear Schrödinger equation on large balls
• 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
• Improved estimates and a limit case for the electrostatic Klein–Gordon–Maxwell system
• Decay and Scattering for the Chern–Simons–Schrödinger Equations
• Blow-up solutions of the Chern–Simons–Schrödinger equations
• Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
• Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrodinger equation

This page was built for publication: Positive energy static solutions for the Chern-Simons-Schrödinger system under a large-distance fall-off requirement on the gauge potentials