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symmetry group; crystallographic groups; bifurcation equation
[1] B. V. Loginov: Branching theory of solutions of nonlinear equations in conditions of group invariance. FAN, Tashkent, 1985. (In Russian.) MR 0878356
[2] B. V. Loginov V. A. Trenogin: On the use of group invariance in bifurcation theory. Differential Equations 11 no. 8 (1975), 1518-1521. (In Russian.) MR 0380541
[3] J. Dieudonne J. Carrel D. Mamfold: Geometric theory of invariants. Mir, Moskva, 1974.
[4] L. V. Ovsjannikov: Group analysis of differential equations. Nauka, Moskva, 1978, (In Russian.) MR 0511921
[5] L. V. Ovsjanikov: Lectures on the theory of group properties of differential equations. NGU, Novosibirsk, 1966. (In Russian.)
[6] N. Ch. Ibragimov: Groups of transformations in mathematical physics. Nauka, Moskva, 1983. (In Russian.)
[7] B. V. Loginov, Ch. R. Rachmatova N. Juldashev: On construction of bifurcation equation by its symmetry group. (cristallographic groups), Mixed type equations and free boundary value problems, FAN, Tashkent, 1985, pp. 183-195. (In Russian.)
[8] B. V. Loginov A. O. Kusnetsov: On construction of periodic solutions of three-dimensional problem of capillary-gravitational waves over a flat bottom in the case of high degeneracy. Proc. ICNO-11, Budapest, Aug. 17-23, 1987, Budapest, 1987, pp. 669-671. (In Russian.)
[9] B. V. Loginov S. G. Sabirova: On the bifurcation of periodic solutions of nonlinearly perturbed elliptic equations. Izvestija AN Uzbek SSR, fiz.-mat, nauki no. 4 (1988), 32-37. (In Russian.) MR 0979383
[10] M. M. Vainberg V. A. Trenogin: Branching theory of solutions of nonlinear equations. Nauka, Moskva, 1969 (In Russian.); in English transl., Naardorf, Leyden, 1974.
[11] Ch. Kittel: Introduction into solid states physics. Nauka, Moskva, 1978. (In Russian.)
[12] W. Heine: Group theory in quantum mechanics. IL, Moskva, 1969. (In Russian.)
[13] G. Ja. Ljubarsky: Group theory and its applications in physics. GITTL, Moskva, 1958.
[14] Ph. Delanō: Bifurcation for Monge-Ampere equations on flat tori. Manuscripta mathematica no. 1 (1983), 29-45. DOI 10.1007/BF01168578 | MR 0722920
[15] T. Aubin: Metriques Riemanniennes et Courbure. J. Diff. Geometry 48(1970), 383-424. MR 0279731 | Zbl 0212.54102
[16] I. M. Vinogradov: Foundations of the number theory. Nauka, Moskva, 1981.
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