
doi: 10.1007/bf01174876
The relationship between harmonic maps from R2 to S2, H2, ST,1, S1,1(−1) and the ± sinh — Laplace, ± sine — Laplace equation is found respectively. Existence theorems of some boundary value problems for the above harmonic maps are obtained. In the cases of H2, S1,1(+1), S1,1(−1) the results are global.
sine-Laplace equation, 510.mathematics, Lax pair, Conformal mappings of special domains, sinh-Laplace equation, Harmonic maps, etc., Article, Second-order nonlinear hyperbolic equations
sine-Laplace equation, 510.mathematics, Lax pair, Conformal mappings of special domains, sinh-Laplace equation, Harmonic maps, etc., Article, Second-order nonlinear hyperbolic equations
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