Concentration behavior and multiplicity of solutions to a gauged nonlinear Schrödinger equation

DOI10.1016/j.aml.2020.106437zbMath1442.35130OpenAlexW3018356084MaRDI QIDQ2186747

Heilong Mi, Wen Zhang, Fang-Fang Liao

Publication date: 9 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106437

zbMATH Keywords

existence of solutionsvariational methodsgauged Schrödinger equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Related Items (4)

Combined effects of concave and convex nonlinearities for the generalized Chern–Simons–Schrödinger systems with steep potential well and 1 < p < 2 < q < 6 ⋮ On Chern-Simons-Schrödinger systems involving steep potential well and concave-convex nonlinearities ⋮ Sign-changing solutions for the Chern-Simons-Schrödinger equation with concave-convex nonlinearities ⋮ Nodal solutions for gauged Schrödinger equation with nonautonomous asymptotically quintic nonlinearity

Cites Work

• Standing waves of nonlinear Schrödinger equations with the gauge field
• A variational analysis of a gauged nonlinear Schrödinger equation
• Nodal standing waves for a gauged nonlinear Schrödinger equation in \(\mathbb{R}^2\)
• Infinitely many solutions for a gauged nonlinear Schrödinger equation
• Sign-changing multi-bump solutions for the Chern-Simons-Schrödinger equations in \(\mathbb{R} ^2\)
• Sign-changing solutions to a gauged nonlinear Schrödinger equation
• Standing waves for the Chern-Simons-Schrödinger systems without (AR) condition
• Existence and concentration of solutions for the Chern-Simons-Schrödinger system with general nonlinearity
• Standing waves of the Schrödinger equation coupled with the Chern-Simons gauge field
• Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
• 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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