An Example of Nonhomotopic Solutions to the Dirichlet Problem for Harmonic Maps in Two Dimensions

DOI10.2307/2047625zbMath0687.58006OpenAlexW4244797003MaRDI QIDQ4206124

George Paulik, Luc Oswald

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047625

zbMATH Keywords

Dirichlet problems of the harmonic mapmultiple nonhomotopic solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Harmonic maps, etc. (58E20)

Cites Work

• 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
• Applications harmoniques de surfaces riemanniennes
• Multiple solutions ofH-systems and Rellich's conjecture

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