The Dirichlet problem for harmonic maps from the disc into the 2-sphere

DOI10.1017/S0308210500024094zbMath0701.58020MaRDI QIDQ3479245

Alain Soyeur

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemharmonic maps

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Boundary value problems on manifolds (58J32)

Related Items

Minimizing the energy of maps from a surface into a 2-sphere with prescribed degree and boundary values, Large solutions for biharmonic maps in four dimensions, Remark on the Dirichlet problem for harmonic maps from the disc into the 2-sphere, Symmetric boundary values for the Dirichlet problem for harmonic maps from the disc into the 2-sphere, Insertion of bubbles at the boundary for the Ginzburg-Landau functional, Newton and conjugate gradient for harmonic maps from the disc into the sphere, Unnamed Item, Mesh optimization for singular axisymmetric harmonic maps from the disc into the sphere, Multiple solutions of the Dirichlet problem for harmonic maps from discs into 2-spheres

Cites Work

• Unnamed Item
• Large solutions for harmonic maps in two dimensions
• Boundary regularity and the Dirichlet problem for harmonic maps
• The Dirichlet problem for harmonic maps from a surface with boundary onto a 2-sphere with nonconstant boundary values
• The concentration-compactness principle in the calculus of variations. The limit case. II