Regularity theory on \(A\)-harmonic system and \(A\)-Dirac system

DOI10.1186/1029-242X-2014-443zbMath1341.35070WikidataQ59324504 ScholiaQ59324504MaRDI QIDQ261727

Fengfeng Sun, Shuhong Chen

Publication date: 24 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

\(A\)-Dirac system\(A\)-harmonic systemCaccioppoli estimatenatural growth conditionremovable theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Quasilinear elliptic equations (35J62)

Cites Work

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• Nonlinear \(A\)-Dirac equations
• \(p\)-Dirac operators
• Dirac-harmonic maps
• Jump problem and removable singularities for monogenic functions
• Optimal interior partial regularity for nonlinear elliptic systems under the natural growth condition: the method of A-harmonic approximation
• \(A\)-harmonic equations and the Dirac operator
• Removable singularities for analytic or subharmonic functions
• Removability theorems for solutions of degenerate elliptic partial differential equations
• \(A\)-harmonic operator in the Dirac system
• Nonlinear Dirac equations on Riemann surfaces
• Regularity theorems and energy identities for Dirac-harmonic maps
• Removable sets for continuous solutions of quasilinear elliptic equations
• A remark on nonlinear Dirac equations
• Regularity of Dirac-Harmonic Maps
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Mean Oscillation Over Cubes and Holder Continuity

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