A short survey on biharmonic maps between Riemannian manifolds
S Montaldo, C Oniciuc - Revista de la Unión Matemática …, 2006 - SciELO Argentina
A short survey on biharmonic maps between Riemannian manifolds SciELO - Scientific
Electronic Library Online vol.47 número2 II Encuentro de Geometría Diferencial: 6 al 11 de junio …
Electronic Library Online vol.47 número2 II Encuentro de Geometría Diferencial: 6 al 11 de junio …
Biharmonic maps from R 4 into a Riemannian manifold
C Wang - Mathematische Zeitschrift, 2004 - Springer
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 …
Mathematische Zeitschrift Biharmonic maps from R4 into a Riemannian manifold Changyou …
Conservation laws for fourth order systems in four dimensions
T Lamm, T Riviere - Communications in Partial Differential …, 2008 - Taylor & Francis
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 …
problems in two dimensions, we show in four dimensions the existence of a conservation …
Stationary biharmonic maps from Rm into a Riemannian manifold
C Wang - Communications on pure and applied mathematics, 2004 - Wiley Online Library
Stationary biharmonic maps from <i>R<sup>m</sup></i> into a Riemannian manifold Page 1
Stationary Biharmonic Maps from Rm into a Riemannian Manifold CHANGYOU WANG …
Stationary Biharmonic Maps from Rm into a Riemannian Manifold CHANGYOU WANG …
On biharmonic maps and their generalizations
P Strzelecki - Calculus of Variations and Partial Differential …, 2003 - Springer
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 …
spheres, showing first that the biharmonic map system is equivalent to a set of bilinear …
Biharmonic maps and morphisms from conformal mappings
Inspired by the all-important conformal invariance of harmonic maps on two-dimensional
domains, this article studies the relationship between biharmonicity and conformality. We …
domains, this article studies the relationship between biharmonicity and conformality. We …
Morse Index Stability of Biharmonic Maps in Critical Dimension
A Michelat - arXiv preprint arXiv:2312.07494, 2023 - arxiv.org
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 …
2212.03124) that was first applied to harmonic maps between manifolds and later extended …
Biharmonic map heat flow into manifolds of nonpositive curvature
T Lamm - Calculus of Variations and Partial Differential …, 2004 - Springer
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 …
2 gradient flow for the energy \int_M|Δu|^2. If m≦4 and N has nonpositive sectional …
-regularity for fourth order elliptic systems with antisymmetric potentials in higher dimensions
We establish an optimal L p-regularity theory for solutions to fourth order elliptic systems with
antisymmetric potentials in all supercritical dimensions n≥ 5: Δ 2 u= Δ (D·∇ u)+ div (E·∇ …
antisymmetric potentials in all supercritical dimensions n≥ 5: Δ 2 u= Δ (D·∇ u)+ div (E·∇ …
The Lamm–Rivière system I: regularity theory
Motivated by the heat flow and bubble analysis of biharmonic mappings, we study further
regularity issues of the fourth order Lamm–Rivière system Δ 2 u= Δ (V·∇ u)+ div (w∇ u)+(∇ …
regularity issues of the fourth order Lamm–Rivière system Δ 2 u= Δ (V·∇ u)+ div (w∇ u)+(∇ …