On biharmonic maps and their generalizations

By Pawel Strzelecki. 2003

85 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/a5a7e1caf2775b9c9e7ffa03d004b387c685b51b

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In Applied Mathematics

Citations in the corpus

A short survey on biharmonic maps between Riemannian manifolds (2005, background): “We shall not report on this aspect and we refer the reader to [33, 34, 53, 54, 55] and the references therein.”
Conservation Laws for Fourth Order Systems in Four Dimensions (2006, background): “…and 1.5 permit to write the extrinsic and intrinsic biharmonic map equation into arbitrary target manifolds in divergence form and this yields a new and simple proof of the regularity of these maps in four dimensions (for previous results see Chang et al., 1999; Strzelecki, 2003; Wang, 2004a,c).”
Partial regularity for biharmonic maps, revisited (2008, result): “A very elegant proof using H1-BMO duality was later given by Strzelecki [11].”
Biharmonic map heat flow into manifolds of nonpositive curvature (2004, background): “critical points of which have been studied by A. Chang, L. Wang, P. Yang [4], P. Strzelecki [ 17 ] and also C.Y.”
Regularity of n/2-harmonic maps into spheres (2010, result): “u) := ˆ B1(0)⊂R4 |∆u| 2, where u∈ W , (B1(0),Rm). This was done by A. Chang, L. Wang, and P. Yang [CWY99] in the case of a sphere as the target manifold, and for more general targets by P. Strzelecki [Str03], C. Wang [Wan04] and C. Scheven [Sch08]; see also T. Lamm and T. Rivi`ere’s paper [LR08]. Mo”
Remarks on biharmonic maps into spheres (2004, methodology): “After this work has been completed, the author received a preprint [ S1 ] from P. Strzeleski, where he gives another proof of theorem 2.1 of [CWY] by a different method.”