近期论文
查看导师新发文章
（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）
Bourgain J., Korobkov M. V., Kristensen J. (2015): On the Morse–Sard property and level sets of Wn,1 Sobolev functions on Rn,” Journal fur die reine und angewandte Mathematik (Crelles Journal), 2015, No. 700, 93–112. http://dx.doi.org/10.1515/crelle-2013-0002
J. Bourgain, M.V. Korobkov and J. Kristensen (2013): On the Morse– Sard property and level sets of Sobolev and BV functions, Rev. Mat. Iberoam., 29, no. 1, 1–23. http://dx.doi.org/10.4171/rmi/710
M.V. Korobkov, K. Pileckas and R. Russo (2015): Solution of Leray’s problem for stationary Navier-Stokes equations in plane and axially symmet- ric spatial domains, Annals of Math., 181, no. 2, 769-807. http://dx.doi.org/10.4007/annals.2015.181.2.7
Korobkov M., Kristensen J. (2018): The Trace Theorem, the Luzin N – and Morse–Sard Properties for the Sharp Case of Sobolev–Lorentz Mappings, J. Geom. Anal., 28, no. 3, p.2834–2856, https://doi.org/10.1007/s12220-017-9936-7
Korobkov M.V., Pileckas K., Russo R. (2018): The existence theorem for the steady Navier–Stokes problem in exterior axially symmetric 3D domains, Math. Ann., 370, no. 1–2, p.727–784. https://doi.org/10.1007/s00208-017-1555-x
Ferone A., Korobkov M.V., Roviello A., (2019): On the Luzin N-property and the uncertainty principle for Sobolev mappings, Analysis and PDEs, 12, no. 5, p.1149–1175. http://doi.org/10.2140/apde.2019.12.1149
M.V. Korobkov, K. Pileckas and R. Russo (2019): On convergence of arbitrary D-solution of steady Navier–Stokes system in 2D exterior domains, Arch. Rational Mech. Anal., 233, no. 1, p. 385–407 http://doi.org/10.1007/s00205-019-01359-8
Hajlasz P., Korobkov M.V., Kristensen J. (2017): A bridge between Dubovitskii-Federer theorems and the coarea formula, J. Funct. Anal., 272, no. 3, p.1265–1295. http://dx.doi.org/10.1016/j.jfa.2016.10.031
M. Korobkov and T.-P. Tsai (2016): Forward self-similar solutions of the Navier–Stokes equations in the half space, Analysis and PDE, 9, no. 8. p. 1811–1827. http://dx.doi.org/10.2140/apde.2016.9.1811
Korobkov M.V., Pileckas K., Russo R. (2016): Leray’s Problem on Ex- istence of Steady State Solutions for the Navier-Stokes Flow, in Handbook of Mathematical Analysis in Mechanics, Springer International Publishing AG, Y. Giga, A. Novotny (eds.), P.1-50, dx.doi.org/10.1007/978-3319-10151-4 5-1
M.V. Korobkov, K. Pileckas and R. Russo (2015): Steady Navier-Stokes system with nonhomogeneous boundary conditions in the axially symmetric case, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 14, No. 1 (2015), 233–262. http://dx.doi.org/10.2422/2036-2145.201204 003
M. V. Korobkov and J. Kristensen (2014): On the Morse-Sard Theorem for the sharp case of Sobolev mappings, Indiana Univ. Math. J., 63, No. 6, 1703–1724. http://dx.doi.org/10.1512/iumj.2014.63.5431
M.V. Korobkov, K. Pileckas and R. Russo (2014): The existence of a solution with finite Dirichlet integral for the steady Navier-Stokes equations in a plane exterior symmetric domain, J. Math. Pures. Appl. 101, no. 3, 257–274. http://dx.doi.org/10.1016/j.matpur.2013.06.002
M.V. Korobkov, K. Pileckas, V. V. Pukhnachev, and R. Russo (2014): The flux problem for the Navier-Stokes equations, Russian Math. Surveys, 69, No. 6, 1065–1122. http://dx.doi.org/10.1070/RM2014v069n06ABEH004928
M.V. Korobkov, K. Pileckas and R. Russo (2013): On the flux prob- lem in the theory of steady Navier–Stokes equations with nonhomogeneous boundary conditions, Arch. Rational Mech. Anal. 207, no. 1, 185–213. http://dx.doi.org/10.1007/s00205-012-0563-y.
M.V. Korobkov, K. Pileckas and R. Russo (2012): Steady Navier-Stokes system with nonhomogeneous boundary conditions in the axially symmetric case, Comptes rendus – Mecanique 340, 115–119.
Korobkov, M. V. (2011): Bernoulli law under minimal smoothness as- sumptions. Dokl. Math. 83, no.1, 107-110.
Korobkov, M. V. (2010): Properties of C1-smooth functions whose gra- dient range has topological dimension 1. Dokl. Math. 81, no.1, 11-13.
Korobkov, M. V. (2009): Properties of C1-smooth mappings with a one- dimensional gradient range. Sib. Math. J. 50, no. 5, 874-886.
Korobkov, M. V. (2010): A criterion for the unique determination of domains in Euclidean spaces by the metric of the boundary induced by the intrinsic metric of the domain. Siberian Advances in Math. 20, no. 4, 256- 284.
Korobkov, M. V. (2008): Necessary and sufficient conditions for the unique determination of plane domains. Sib. Math. J. 49, no. 3, 436-451.
Korobkov, M. V. (2008): An example of a C1-smooth function whose gradient range is an arc with no tangent at any point. Sib. Math. J. 49, no. 1, 109-116.
Korobkov, M. V. (2007): Necessary and sufficient conditions for the unique determination of plane domains. Dokl. Math. 76, no. 2, 722-723.
Korobkov, M. V. (2007): Properties of C1-smooth functions with a nowhere dense gradient range. Siberian Math. J. 48, no. 6, 1019-1028.
Korobkov, M. V.; Panov, E. Yu. (2007): Necessary and sufficient condi- tions for a curve to be the gradient range of a C1-smooth function. Siberian Math. J. 48, no. 4, 629-647.
Korobkov, M. V. (2006): Properties of C1-smooth functions whose range of the gradient is a nowhere dense set. Dokl. Akad. Nauk 410, no. 5, 596- 598.
Korobkov, M. V.; Panov, E. Yu. (2006): On necessary and sufficient conditions for a curve to be the range of the gradient of a C1-smooth function. Dokl. Akad. Nauk 410, no. 4, 449-452.
Korobkov, M. V. (2006): On an analogue of Sard’s theorem for C1- smooth functions of two variables. Siberian Math. J. 47, no. 5, 889-895.
Korobkov, M. V.; Panov, E. Yu. (2006): On isentropic solutions of first-order quasilinear equations. Sb. Math. 197, no. 5-6, 727-752.
Kopylov, A. P.; Korobkov, M. V.; Ponomarev, S. P. (2003): Stability in the Cauchy and Morera theorems for holomorphic functions and their three-dimensional analogues. Siberian Math. J. 44, no. 1, 99-108.
Korobkov, M. V. (2002): Stability in the C-norm and in the W∞1-norm of classes of Lipschitz functions of one variable. Siberian Math. J. 43, no. 5, 827-842.
Egorov, A. A.; Korobkov, M. V. (2001): On the stability of classes of affine mappings. Siberian Math. J. 42, no. 6, 1047-1061.
Korobkov, M. V. (2001): On a generalization of the Lagrange and Dar- boux theorems to vector-valued functions. Dokl. Akad. Nauk 377, no. 5, 591-593.
Korobkov, M. V. (2001): A generalization of Lagrange’s mean value theorem to the case of vector-valued mappings. Siberian Math. J. 42, no. 2, 297-300.
Egorov, A. A.; Korobkov, M. V. (2000): Stability of classes of Lipschitz mappings, the Darboux theorem, and quasiconvex sets. Siberian Math. J. 41, no. 5, 855-865.
Korobkov, M. V.; Egorov, A. A. (2000): Stability of classes of Lipschitz mappings, the Darboux theorem, and quasiconvex sets. Dokl. Akad. Nauk 373, no. 5, 583-587.
Korobkov, M. V. (2000): On the stability of classes of Lipschitz mappings generated by compact sets of the space of linear mappings. Siberian Math. J. 41, no. 4, 656-670.
Korobkov, M. V. (2000): On a generalization of Darboux’s theorem to the multidimensional case. Siberian Math. J. 41, no. 1, 100-112.
Korobkov, M. V. (1998): On a generalization of the connectedness con- cept and its application to differential calculus and to the theory of stability of classes of mappings. Dokl. Akad. Nauk 363, no. 5, 590–593.
Korobkov, M. V.; Panov, E. Yu. (2007): On the theory of isentropic solutions of quasilinear conservation laws. J. Math. Sci. (N. Y.) 144, no. 1, 3815–3824.
Korobkov, M. (2003): On stability of a class of convex functions. In: Progress in analysis, Vol. I, II (Berlin, 2001), 207-213, World Sci. Publ., River Edge, NJ.
Korobkov M.V., Pileckas K., Russo R. (2015): The Liouville Theorem for the Steady-State Navier–Stokes Problem for Axially Symmetric 3D Solutions in Absence of Swirl. J. Math. Fluid Mech., 17, p. 287–293. https://doi.org/10.1007/s00021-015-0202-0
Korobkov M.V., Pileckas K., Russo R. (2020): Solvability in a finite pipe of steady-state Navier–Stokes equations with boundary conditions involving Bernoulli pressure. Calc. Var. 59, no. 32. https://doi.org/10.1007/s00526-019-1688-8
Korobkov M.V., Pileckas K., Russo R. (2020): On the steady Navier- Stokes equations in 2D exterior domains. J. Differential Equations, 269, no. 3, P. 1796–1828. https://doi.org/10.1016/j.jde.2020.01.012
Korobkov M.V., Pileckas K., Russo R. (2020): A Simple Proof of Reg- ularity of Steady-State Distributional Solutions to the Navier–Stokes Equa- tions. J. Math. Fluid Mech. 22, no.55, https://doi.org/10.1007/s00021-020-00517-3
Korobkov M.V., Pileckas K., Russo R. (2020): Leray’s plane steady state solutions are nontrivial. Advances in Mathematics, https://doi.org/10.1016/j.aim.2020.107451
Ferone A., Korobkov M.V., Roviello A., (2019): Morse–Sard theorem and the Luzin N-property: a new synthesis for smooth and Sobolev spaces, Siberian Mathematical J., 60, no. 5, 916–926. http://doi.org/10.1134/S0037446619050148
Ferone A., Korobkov M.V., Roviello A., (2020): On some universal Morse–Sard type theorem, J. Math. Pures. Appl., 139, 1–34. https://doi.org/10.1016/j.matpur.2020.05.002
京公网安备 11010802027423号