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LIST OF PUBLICATIONS (only pap ers)

of the senior research assistant Korobkov Mikhail
(Sob olev Institute of Mathematics, Sib erian Branch of the Russian Academy of Science, Novosibirsk, Russia) [1] Korobkov M.V. On a generalization of the connectedness concept and its application to differential calculus and the theory of stability of classes of mappings. // Dokl. Akad. Nauk. 363 (5) (1998), 590­593. [2] Korobkov M.V. On one generalization of the Darboux theorem to the multidimensional case // Sibirsk. Mat. Zh. 41(1) (2000), 118­133. [3] Korobkov M.V. On stability of classes of Lipschitz mappings generated by compact sets of the space of linear mappings // Sibirsk. Mat. Zh. 41(4) (2000), 792­810. [4] Egorov, A.A., Korobkov M.V. Stability of classes of Lipschitz mappings, the Darboux theorem and quasiconvex sets // Dokl. Akad. Nauk. 373(5) (2000), 583­587. [5] Egorov, A.A., Korobkov M.V. Stability of classes of Lipschitz mappings, the Darboux theorem and quasiconvex sets // Sibirsk. Mat. Zh. 41(5) (2000), 1046­1059. [6] Korobkov M. V. A generalization of the Lagrange mean value theorem to the case of vector-valued mappings // Sibirsk. Mat. Zh. 42(2) (2001), 349-353. [7] Korobkov M. V. To Extension of the Lagrange and Darboux Theorems over Vector-Valued Functions // Dokl. Akad. Nauk. 377(5) (2001), 591­593. [8] Egorov, A.A., Korobkov, M.V. On stability of classes of affine mappings // Sibirsk. Mat. Zh. 42(6) (2001), 1259­1277. 1 [9] Korobkov, M.V. On stability in the C - and W -norms of classes of Lipschitz functions of one variable. // Sibirsk. Mat. Zh. 43(5) (2002), 1026­1045. [10] A. P. Kopylov, M. V. Korobkov, S. P. Ponomarev. Stability in the Cauchy and Morera Theorems for Holomorphic Functions and Their Spatial Analogs // Sibirsk. Mat. Zh. 44(1) (2003), 120­131. [11] Korobkov M.V., Panov E.Yu. On the theory of isentropic solutions of quasilinear conservation laws. Journal of Mathematical Sciences. Volume 144, Number 1 / July, 2007. Pages 3815-3824. [12] Korobkov M.V., Panov E.Yu. On isentropic solutions to first-order quasilinear equations // Mat. Sbornik. 197(5) (2006), 99­124.

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[13] Korobkov M.V. On an Analog of Sard's Theorem for C 1 -smooth Functions of Two Variables. // Sibirsk. Mat. Zh. 47(5) (2006), 1083­1091. [14] Korobkov M.V., Panov E.Yu. On necessary and sufficient conditions for a curve to be the gradient range of a C 1 -smooth function // Dokl. Akad. Nauk. 410(4) (2006), 449­452. [15] Korobkov M.V., Panov E.Yu. On necessary and sufficient conditions for a curve to be the gradient range of a C 1 -smooth function // Sibirsk. Mat. Zh. 48(4) (2007), 789­810. [16] Korobkov M.V. On Properties of C 1 -smooth functions whose gradient ranges are nondense sets // Dokl. Akad. Nauk. 410(5) (2006), 596­598. [17] Korobkov M.V. On Properties of C 1 -smooth functions whose gradient ranges are nondense sets // Sibirsk. Mat. Zh. 48(6) (2007). [18] Korobkov M.V. On necessary and sufficient conditions for unique determination of plane domains // Dokl. Akad. Nauk. 416(4) (2007), 443­445. [19] Korobkov M.V. On Example of a C 1 -smooth function whose gradient range is an arc that has no tangents // Sibirsk. Mat. Zh. 49(1) (2008). [20] Korobkov M.V. On necessary and sufficient conditions for unique determination of plane domains // Sibirsk. Mat. Zh., to appear. [21] Korobkov, M.V. On Stability of a Class of Convex Functions // Progress in Analysis. Proceedings of the 3rd International Isaac Congress (Berlin, Germany, 20-25 August 2001) Vol.1, P.207-213, World Scientific Publishing, 2003.

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