Geodesic
Boundary value problems in the theory of infinitesimal bendings of surfaces of positive curvature with piecewise smooth boundary
Sbornik. Mathematics, Tome 32 (1977) no. 3, pp. 385-400 
E. V. Tyurikov. Boundary value problems in the theory of infinitesimal bendings of surfaces of positive curvature with piecewise smooth boundary. Sbornik. Mathematics, Tome 32 (1977) no. 3, pp. 385-400. http://geodesic.mathdoc.fr/item/SM_1977_32_3_a7/
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     title = {Boundary value problems in the theory of infinitesimal bendings of surfaces of positive curvature with piecewise smooth boundary},
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     url = {http://geodesic.mathdoc.fr/item/SM_1977_32_3_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Problems in the theory of infinitesimal bendings of simply-connected surfaces of positive curvature with piecewise smooth boundary under certain boundary conditions are studied. A qualitative investigation into the solvability of the corresponding boundary value problem is given for generalized analytic functions with discontinuous coefficients in the boundary condition. Figures: 1. Bibliography: 6 titles.

[1] I. N. Vekua, Obobschennye analiticheskie funktsii, Fizmatgiz, Moskva, 1959 | MR

[2] V. T. Fomenko, “Ob izgibanii i odnoznachnoi opredelennosti poverkhnostei polozhitelnoi krivizny s kraem”, Matem. sb., 66 (108) (1965), 127–141 | MR | Zbl

[3] N. I. Muskhelishvili, Singulyarnye integralnye uravneniya, Fizmatgiz, Moskva, 1968 | MR

[4] L. G. Mikhailov, “Kraevaya zadacha tipa zadachi Rimana dlya sistem differentsialnykh uravnenii pervogo poryadka ellipticheskogo tipa”, Uchenye zapiski Tadzh. un-ta, X (1957), 32–79

[5] F. D. Gakhov, Kraevye zadachi, Fizmatgiz, Moskva, 1962

[6] N. V. Efimov, “Kachestvennye voprosy teorii deformatsii poverkhnostei”, Uspekhi matem. nauk, III:2 (24) (1948), 47–158 | MR