Bubbling analysis for a nonlinear Dirac equation on surfaces

DOI10.1007/s10473-024-0601-5MaRDI QIDQ6623047

Miaomiao Zhu, Youmin Chen, Lei Liu

Publication date: 23 October 2024

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

energy identityHardy inequalitynonlinear Dirac equationthree circle method

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Spin and Spin({}^c) geometry (53C27)

Cites Work

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• Neck analysis for biharmonic maps
• No neck for Dirac-harmonic maps
• Harmonic maps from degenerating Riemann surfaces
• Dirac-harmonic maps from degenerating spin surfaces. I: The Neveu-Schwarz case
• Asymptotic analysis for Dirac-harmonic maps from degenerating spin surfaces and with bounded index
• Blow-up analysis for approximate Dirac-harmonic maps in dimension 2 with applications to the Dirac-harmonic heat flow
• Nonlinear Dirac equations on Riemann surfaces
• Quantization for a nonlinear Dirac equation
• A remark on nonlinear Dirac equations
• Two-dimensional Dirac operator and the theory of surfaces

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