A compactness result for polyharmonic maps in the critical dimension

DOI10.1007/S10587-016-0246-1zbMath1374.35150OpenAlexW2318829800MaRDI QIDQ2810163

Shen-Zhou Zheng

Publication date: 31 May 2016

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144880

zbMATH Keywords

compactnessremovable singularityPalais-Smale sequencepolyharmonic mapCoulomb moving frame

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Variational methods for higher-order elliptic equations (35J35) Higher-order elliptic systems (35J48)

Cites Work

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• The concentration-compactness principle in the calculus of variations. The limit case. II
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• The existence of minimal immersions of 2-spheres
• Connections with \(L^ p \)bounds on curvature
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• A compactness theorem for weak solutions of higher-dimensional \(H\)-systems
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• On polyharmonic maps into spheres in the critical dimension
• Conservation laws for conformally invariant variational problems
• A compactness theorem of \(n\)-harmonic maps
• Energy quantization for biharmonic maps
• The extrinsic polyharmonic map heat flow in the critical dimension
• Conservation Laws for Fourth Order Systems in Four Dimensions

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