A monotonicity formula for stationary biharmonic maps
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Publication:811843
DOI10.1007/s00209-005-0848-zzbMath1085.58010OpenAlexW2010210224MaRDI QIDQ811843
Publication date: 23 January 2006
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/20.500.11850/412024
Related Items (25)
Intrinsically biharmonic maps into homogeneous spaces ⋮ A boundary monotonicity inequality for variationally biharmonic maps and applications to regularity theory ⋮ Stability of the equator map for the Hessian energy ⋮ Partial regularity of polyharmonic maps to targets of sufficiently simple topology ⋮ Monotonicity formulas for extrinsic triharmonic maps and the triharmonic Lane-Emden equation ⋮ On the Number of Synchronizing Colorings of Digraphs ⋮ Quantitative stratification and higher regularity for biharmonic maps ⋮ Critical \(O(d)\)-equivariant biharmonic maps ⋮ Existence of extrinsic polyharmonic maps in critical dimensions ⋮ Blow-up analysis and boundary regularity for variationally biharmonic maps ⋮ Dimension reduction for the singular set of biharmonic maps ⋮ Energy identity of approximate biharmonic maps to Riemannian manifolds and its application ⋮ Biharmonic maps of cohomogeneity one between spheres ⋮ Boundary partial regularity for a class of biharmonic maps ⋮ A Variational Problem Pertaining to Biharmonic Maps ⋮ Partial regularity of a minimizer of the relaxed energy for biharmonic maps ⋮ Partial regularity for biharmonic maps, revisited ⋮ The Lamm-Rivière system. I: \(L^p\) regularity theory ⋮ On the sixth-order Joseph-Lundgren exponent ⋮ Well-posedness for the heat flow of biharmonic maps with rough initial data ⋮ Regularity of minimizing extrinsic polyharmonic maps in the critical dimension ⋮ Regularity and uniqueness of a class of biharmonic map heat flows ⋮ Boundary regularity for minimizing biharmonic maps ⋮ On minimizing extrinsic biharmonic maps ⋮ A regularity result for polyharmonic maps with higher integrability
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- Regularity and relaxed problems of minimizing biharmonic maps into spheres
- The problem of Plateau on a Riemannian manifold
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