A regularity result for polyharmonic maps with higher integrability

DOI10.1007/s10455-008-9122-zzbMath1172.58003OpenAlexW2011935701MaRDI QIDQ1029595

David Pumberger, Gilles Angelsberg

Publication date: 13 July 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11850/3959

zbMATH Keywords

regularityharmonic mapsbiharmonic mapsGagliardo-Nirenberg inequalitypolyharmonic maps

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Variational methods for higher-order elliptic equations (35J35)

Related Items (10)

Partial regularity of polyharmonic maps to targets of sufficiently simple topology ⋮ Neck analysis of extrinsic polyharmonic maps ⋮ Morrey potentials and harmonic maps ⋮ Well-posedness for the heat flow of polyharmonic maps with rough initial data ⋮ On polyharmonic maps into spheres in the critical dimension ⋮ Conservation laws for even order elliptic systems in the critical dimension -- a new approach ⋮ A compactness result for polyharmonic maps in the critical dimension ⋮ Higher order intrinsic weak differentiability and Sobolev spaces between manifolds ⋮ Regularity of weak solutions to higher order elliptic systems in critical dimensions ⋮ Strong density for higher order Sobolev spaces into compact manifolds

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