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.
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.
