Mathematische Zeitschrift Page 1 DOI: 10.1007/s00209-003-0620-1 Math. Z. 247, 65–87 (2004)
Mathematische Zeitschrift Biharmonic maps from R4 into a Riemannian manifold Changyou …

Following an approach of the second author (Rivière,) for conformally invariant variational
problems in two dimensions, we show in four dimensions the existence of a conservation …

We prove an apriori estimate in Morrey spaces for both intrinsic and extrinsic biharmonic
maps into spheres. As applications, we prove an energy quantization theorem for …

We give a new proof of regularity of biharmonic maps from four-dimensional domains into
spheres, showing first that the biharmonic map system is equivalent to a set of bilinear …

We study nonparametric regression between Riemannian manifolds based on regularized
empirical risk minimization. Regularization functionals for mappings between manifolds …

Calculus of Variations Page 1 Calc. Var. (2008) 33:249–262 DOI 10.1007/s00526-008-0175-4
Calculus of Variations Partial regularity for biharmonic maps, revisited Michael Struwe …

We prove regularity of weakly $ m $-polyharmonic maps (extrinsicor intrinsic) from domains
in $\R^ n $ of dimension $ n= 2m\ge4 $ tocompact Riemannian manifolds, thus extending a …

Inspired by the all-important conformal invariance of harmonic maps on two-dimensional
domains, this article studies the relationship between biharmonicity and conformality. We …

Furthering the development of Da Lio-Gianocca-Rivi\ere's Morse stability theory (arXiv:
2212.03124) that was first applied to harmonic maps between manifolds and later extended …

Let M m and N be two compact Riemannian manifolds without boundary. We consider the L
2 gradient flow for the energy \int_M|Δu|^2. If m≦4 and N has nonpositive sectional …