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4 papers
The -elastica problem on a Riemannian manifold
Ed Gallagher, Roger Moser
We consider the following problem: on any given complete Riemannian manifold , among all curves which have fixed length as well as fixed end-points and tangents at the end-p…
Partial Regularity for Harmonic Maps into Spheres at a Singular or Degenerate Free Boundary
Roger Moser, James Roberts
We prove partial regularity of weakly stationary harmonic maps with (partially) free boundary data on manifolds where the domain metric may degenerate or become singular along the…
Separation of domain walls with nonlocal interaction and their renormalised energy by -convergence in thin ferromagnetic films
Radu Ignat, Roger Moser
We analyse two variants of a nonconvex variational model from micromagnetics with a nonlocal energy functional, depending on a small parameter . The model gives rise to trans…
Energy minimisers of prescribed winding number in an -valued nonlocal Allen-Cahn type model
Radu Ignat, Roger Moser
We study a variational model for transition layers in thin ferromagnetic films with an underlying functional that combines an Allen-Cahn type structure with an additional nonlocal…