Bifurcation solutions for a nonlinear Dirac equation

DOI10.1016/j.aml.2022.108306zbMath1498.35042OpenAlexW4284888100WikidataQ113880550 ScholiaQ113880550MaRDI QIDQ2171138

Yuanyang Yu

Publication date: 23 September 2022

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

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108306

zbMATH Keywords

mountain pass geometryvariational Lyapunov-Schmidt reduction

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Bifurcations in context of PDEs (35B32) Time-dependent Schrödinger equations and Dirac equations (35Q41) Systems of nonlinear first-order PDEs (35F50)

Cites Work

• Existence of excited states for a nonlinear Dirac field
• Existence of localized solutions for a classical nonlinear Dirac field
• Stationary states of the nonlinear Dirac equation: A variational approach
• \(L^2\)-normalized solitary wave solutions of a nonlinear Dirac equation
• A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations
• Existence of standing waves for Dirac fields with singular nonlinearities

This page was built for publication: Bifurcation solutions for a nonlinear Dirac equation