An example of nonhomotopic solutions to the Dirichlet problem for harmonic maps in two dimensions
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- by Luc Oswald and George Paulik PDF
- Proc. Amer. Math. Soc. 104 (1988), 1267-1270 Request permission
Abstract:
Dirichlet problems of the harmonic map system from the disk into the sphere are presented which have multiple nonhomotopic solutions. In particular, it is shown that for any natural number $k$ there is a Dirichlet problem which has at least $k + 1$ nonhomotopic solutions.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 1267-1270
- MSC: Primary 58E20; Secondary 35J25
- DOI: https://doi.org/10.1090/S0002-9939-1988-0931745-7
- MathSciNet review: 931745