A new variational principle for investigation of free boundary value problems with mean and gaussian curvature in boundary condition on unknown surface was introduced;uniquenees of free boundary value variational solution was investigated on the basis of symmetrization principles;a variational principle for generalized minimal surfaces was introduced;topological properties of solution of some degenerate elliptic systems were investigated.
Biography
Graduated from Kharkov aviation institute in 1964 specialized on dynamics of flying apparatus Ph.D —1972. A list of my papers contains 37 titles.
Main publications:
E. Chthterbakov. Free Boundary Value Problems with Surface Tension and Wedging Forces // Zeitschrift fur Analisis und ihre Anwendungen, v. 17(1998), no 4, p. 937–961.
E. Chtcherbakov. Free Boundary Value Problems and generalization of Minimal Surfaces // Proceedings of the 3–d Hanno Rund Conference on Differential Equations and Applications, University of Natal, Durban, South Africa, 2000, p. 13–16.
E. A. Shcherbakov, I. A. Avdeyev, “On the compactness of one class of quasiconformal mappings”, Probl. Anal. Issues Anal., 8(26):3 (2019), 147–151
1991
2.
E. A. Shcherbakov, “The electrostatic Green function for the Tricomi equation and homeomorphic solutions of a degenerate elliptic system associated with it”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 6, 60–66; Soviet Math. (Iz. VUZ), 35:6 (1991), 60–66
1976
3.
E. A. Shcherbakov, “Homeomorphic solutions of a certain degenerate elliptic system”, Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 10, 93–96; Soviet Math. (Iz. VUZ), 20:10 (1976), 74–76
E. A. Shcherbakov, “The circulation round a sphere of a flow of ideal liquid in a tube of rectangular section and in a slot”, Zh. Vychisl. Mat. Mat. Fiz., 9:5 (1969), 1207–1211; U.S.S.R. Comput. Math. Math. Phys., 9:5 (1969), 314–319
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