Periodic Solutions of Schrödinger Flow from S 3 to S 2*

Hao Yin

doi:10.1007/s11401-005-0101-4

Chinese Annals of Mathematics, Series B ›› 2006, Vol. 27 ›› Issue (4) : 401 -410. DOI: 10.1007/s11401-005-0101-4

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Periodic Solutions of Schrödinger Flow from S ³ to S ²*

Hao Yin ¹^,^a

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Abstract

This paper deals with the periodic solutions of Schrödinger flow from S ³ to S ². It is shown that the periodic solution is related to the variation of some functional and there exist S1-invariant critical points to this functional. The proof makes use of the Principle of Symmetric Criticality of Palais.

Keywords

Schrödinger flow / Periodic solution / Variational method / 35Q55 / 58E20

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Hao Yin. Periodic Solutions of Schrödinger Flow from S ³ to S ²*. Chinese Annals of Mathematics, Series B, 2006, 27(4): 401-410 DOI:10.1007/s11401-005-0101-4

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References

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[1]	Ding Science in China, Ser. A, 2001, 44: 1446

[2]	Ding, W., On the Schrödinger flows, Proceedings of the International Congress of Mathematicians (Beijing, 2002), Vol. II, Higher Ed. Press, Beijing, 2002, 283–291.

[3]	Ding, W. and Yin, H., Special periodic solutions of Schrödinger flow, Math. Z., accepted.

[4]	Palais Commun. Math. Phys., 1979, 69: 19

[5]	Kobayashi, S., Transformation Groups in Differential Geometry, Springer-Verlag, New York-Heidelberg, 1972.

[6]	Wang Bull. Lodon Math. Soc., 2000, 32: 729

[7]	Sacks Ann. of Math., 1981, 113: 1

[8]	Ziemer, W. P., Weakly Differentiable Functions, GTM, 120, Springer-Verlag, 1989.

[9]	Hildebrandt, S., Nonlinear elliptic systems and harmonic mappings, Proceedings of the 1980 Beijing Sym-posium on Differential Geometry and Differential Equations, Science Press, Beijing, 1982.