Comparison of finite-dimensional reductions in smooth variational problems with symmetries

S. L. Tsarev

doi:10.1007/pl00021963

journal article Jan 01, 2005

Comparison of finite-dimensional reductions in smooth variational problems with symmetries

S. L. Tsarev

Journal of Mathematical Sciences Vol. 126 No. 4 pp. 1312-1316 · Springer Science and Business Media LLC

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References

10

[1]

S. V. Bolotin, “Periodic solutions of a system with gyroscopical forces,” Prikl. Mat. Mekh., 51, No. 4, 686–687 (1987).

[2]

Yu. G. Borisovich, V. G. Zvyagin, and Yu. I. Sapronov, “Nonlinear Fredholm mappings and the Leray-Schauder theory,” Usp. Mat. Nauk, 32, No. 4, 3–54 (1977).

[3]

S.-N. Chow and J. K. Hale, Methods of Bifurcation Theory, Springer-Verlag, New York (1982). 10.1007/978-1-4613-8159-4

[4]

C. C. Conley and E. Zehnder, “The Birkhoff-Lewis fixed-point theorem and a conjecture of V. I. Arnold,” Invent. Math., 73, 33–49 (1983). 10.1007/bf01393824

[5]

B. M. Darinskii, Yu. I. Sapronov, and V. L. Shalimov, “On thermodynamic theory of ferroelectric phase transitions in crystals,” Kristallografiya, 44, No. 4, 1–5 (1999).

[6]

M. I. Monastyrskii, Topology of Gauge Fields and Condensed Media [in Russian], PAIMS, Moscow (1995).

[7]

Yu. I. Sapronov, “Nonlocal finite-dimensional reductions in variational boundary-value problems,” Mat. Zametki, 49, No. 1, 94–103 (1991).

[8]

Yu. I. Sapronov, “Finite-dimensional reductions in smooth extremal problems,” Usp. Mat. Nauk, 51, No. 1, 101–132 (1996). 10.4213/rm921

[9]

Yu. I. Sapronov and S. L. Tsarev, “Global comparison of finite-dimensional reductions in smooth variational problems,” Mat. Zametki, 58, No. 5, 745–754 (2000). 10.4213/mzm892

[10]

G. M. Zaslavskii and R. Z. Sagdeev, Introduction to Nonlinear Physics [in Russian], Nauka, Moscow (1988).

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Published: Jan 01, 2005
Vol/Issue: 126(4)
Pages: 1312-1316
License: View

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S. L. Tsarev

Cite This Article

S. L. Tsarev (2005). Comparison of finite-dimensional reductions in smooth variational problems with symmetries. Journal of Mathematical Sciences, 126(4), 1312-1316. https://doi.org/10.1007/pl00021963

Comparison of finite-dimensional reductions in smooth variational problems with symmetries

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