Existence of semiclassical solutions for some critical Dirac equation

DOI10.1063/5.0024707zbMath1456.81166OpenAlexW3119563672MaRDI QIDQ5148666

Yuanyang Yu, Qi Guo, Yanheng Ding

Publication date: 4 February 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0024707

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Clifford algebras, spinors (15A66)

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Periodic solutions to a nonlinear Dirac-Klein-Gordon system with concave and convex nonlinearities ⋮ The solutions of critical nonlinear Dirac equations with degenerate potential

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