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Publications in Math-Net.Ru |
Citations |
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2022 |
1. |
N. M. Ivochkina, S. I. Prokof'eva, G. V. Yakunina, “On New Functional Characteristics of Domains $\Omega\in\mathbb R^n$”, Mat. Zametki, 112:1 (2022), 61–75 ; Math. Notes, 112:1 (2022), 70–82 |
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2021 |
2. |
N. M. Ivochkina, S. I. Prokof'eva, G. V. Yakunina, “Integral Inequalities in the Theory of Hessian Operators”, Mat. Zametki, 109:4 (2021), 552–563 ; Math. Notes, 109:4 (2021), 570–579 |
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2017 |
3. |
N. M. Ivochkina, N. V. Filimonenkova, “Gårding cones and Bellman equations in the theory of Hessian operators and equations”, CMFD, 63:4 (2017), 615–626 |
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2015 |
4. |
N. M. Ivochkina, N. V. Filimonenkova, “On new structures in the theory of fully nonlinear equations”, CMFD, 58 (2015), 82–95 ; Journal of Mathematical Sciences, 233:4 (2018), 480–494 |
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2012 |
5. |
N. M. Ivochkina, “From Gårding's cones to $p$-convex hypersurfaces”, CMFD, 45 (2012), 94–104 ; Journal of Mathematical Sciences, 201:5 (2014), 634–644 |
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2006 |
6. |
N. M. Ivochkina, “Weakly first-order interior estimates and Hessian equations”, Zap. Nauchn. Sem. POMI, 336 (2006), 55–66 ; J. Math. Sci. (N. Y.), 143:2 (2007), 2875–2882 |
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2004 |
7. |
N. M. Ivochkina, “Symmetry and geometric evolution equations”, Zap. Nauchn. Sem. POMI, 318 (2004), 135–146 ; J. Math. Sci. (N. Y.), 136:2 (2006), 3728–3734 |
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2000 |
8. |
N. M. Ivochkina, Th. Nehring, F. Tomi, “Evolution of starshaped hypersurfaces by nonhomogeneous curvature functions”, Algebra i Analiz, 12:1 (2000), 185–203 ; St. Petersburg Math. J., 12:1 (2001), 145–160 |
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1997 |
9. |
N. M. Ivochkina, O. A. Ladyzhenskaya, “Estimates for first-order derivatives for solutions of some classes of non-totally parabolic equations”, Algebra i Analiz, 9:6 (1997), 109–131 ; St. Petersburg Math. J., 9:6 (1998), 1111–1128 |
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10. |
N. M. Ivochkina, O. A. Ladyzhenskaya, “Estimation of the second derivatives on the boundary for surfaces evolving under the action of their principal curvatures”, Algebra i Analiz, 9:2 (1997), 30–50 ; St. Petersburg Math. J., 9:2 (1998), 199–217 |
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11. |
N. M. Ivochkina, “Mini survey of the principal notions in the theory of fully nonlinear elliptic second-order differential equations”, Zap. Nauchn. Sem. POMI, 249 (1997), 199–211 ; J. Math. Sci. (New York), 101:5 (2000), 3503–3511 |
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1996 |
12. |
N. M. Ivochkina, “On the Dirichlet problem for fully nonlinear parabolic equations”, Zap. Nauchn. Sem. POMI, 233 (1996), 101–111 ; J. Math. Sci. (New York), 93:5 (1999), 689–696 |
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1995 |
13. |
N. M. Ivochkina, O. A. Ladyzhenskaya, “The first initial-boundary value problem for evolution equations
generated by symmetric functions of principal curvatures”, Dokl. Akad. Nauk, 340:2 (1995), 155–157 |
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14. |
N. Ivochkina, O. Ladyzhenskaya, “Flows generated by symmetric functions of the eigenvalues of the Hessian”, Zap. Nauchn. Sem. POMI, 221 (1995), 127–144 ; J. Math. Sci. (New York), 87:2 (1997), 3353–3365 |
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15. |
N. M. Ivochkina, “Local estimates of normal second derivatives for solutions of the Dirichlet problem for the prescribed quotient curvature equations”, Zap. Nauchn. Sem. POMI, 221 (1995), 114–126 ; J. Math. Sci. (New York), 87:2 (1997), 3343–3352 |
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1994 |
16. |
N. M. Ivochkina, O. A. Ladyzhenskaya, “Parabolic equations generated by symmetric functions of the eigenvalues of the Hessian or by the principal curvatures of a surface. I. Parabolic Monge-Ampére equations”, Algebra i Analiz, 6:3 (1994), 141–160 ; St. Petersburg Math. J., 6:3 (1995), 575–594 |
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17. |
N. M. Ivochkina, O. A. Ladyzhenskaya, “The first initial-boundary value problem for evolution equations
generated by traces of order $m$ of the Hessian of the unknown surface”, Dokl. Akad. Nauk, 337:3 (1994), 300–303 ; Dokl. Math., 50:1 (1995), 61–65 |
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18. |
N. M. Ivochkina, “On conditions of solvability of the Dirichlet problem for $m$-curvature equations”, Zap. Nauchn. Sem. POMI, 213 (1994), 66–74 ; J. Math. Sci. (New York), 84:1 (1997), 856–861 |
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1992 |
19. |
N. M. Ivochkina, “The Dirichlet principle in the theory of equations of Monge–Ampère type”, Algebra i Analiz, 4:6 (1992), 131–156 ; St. Petersburg Math. J., 4:6 (1993), 1169–1189 |
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20. |
N. M. Ivochkina, “Viscosity approach to optimal property of $l$-minimal surfaces”, Zap. Nauchn. Sem. POMI, 200 (1992), 71–82 ; J. Math. Sci., 77:3 (1995), 3183–3189 |
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1990 |
21. |
N. M. Ivochkina, “The Dirichlet problem for the curvature equation of order $m$”, Algebra i Analiz, 2:3 (1990), 192–217 ; Leningrad Math. J., 2:3 (1991), 631–654 |
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22. |
N. M. Ivochkina, “Minimization of the functionals generating curvature operators”, Zap. Nauchn. Sem. LOMI, 182 (1990), 29–37 ; J. Soviet Math., 62:3 (1992), 2741–2746 |
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1989 |
23. |
N. M. Ivochkina, “Solution of the Dirichlet problem for curvature equations of order $m$”, Mat. Sb., 180:7 (1989), 867–887 ; Math. USSR-Sb., 67:2 (1990), 317–339 |
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1988 |
24. |
N. M. Ivochkina, “Solution of the Dirichlet problem for an equation of curvature of
order $m$”, Dokl. Akad. Nauk SSSR, 299:1 (1988), 35–38 ; Dokl. Math., 37:2 (1988), 322–325 |
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25. |
N. M. Ivochkina, “Variational problems connected with operators of the Monge–Ampère type”, Zap. Nauchn. Sem. LOMI, 167 (1988), 186–189 |
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1985 |
26. |
N. M. Ivochkina, “Solution of the Dirichlet problem for some equations of Monge–Aampére type”, Mat. Sb. (N.S.), 128(170):3(11) (1985), 403–415 ; Math. USSR-Sb., 56:2 (1987), 403–415 |
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1984 |
27. |
N. M. Ivochkina, “The solution to the Dirichlet problem for some equations of Monge–Ampère type”, Dokl. Akad. Nauk SSSR, 279:4 (1984), 796–798 |
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1983 |
28. |
N. M. Ivochkina, “A description of the stability cones generated by differential operators of Monge–Ampère type”, Mat. Sb. (N.S.), 122(164):2(10) (1983), 265–275 ; Math. USSR-Sb., 50:1 (1985), 259–268 |
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29. |
N. M. Ivochkina, “On the classical solvability of the Dlrichlet problem for the Monge–Ampère equation”, Zap. Nauchn. Sem. LOMI, 131 (1983), 72–79 |
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30. |
N. M. Ivochkina, “A priori estimates of solution of the Dirichlet problem for the Monge-Ampere equation in the weight spaces”, Zap. Nauchn. Sem. LOMI, 125 (1983), 74–90 |
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1982 |
31. |
N. M. Ivochkina, “Solution of the Dirichlet problem for the Monge–Ampere equation in weight spaces”, Zap. Nauchn. Sem. LOMI, 115 (1982), 97–103 ; J. Soviet Math., 28:5 (1985), 684–688 |
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1980 |
32. |
N. M. Ivochkina, “The integral method of barrier functions and the Dirichlet problem for equations with operators of Monge–Ampère type”, Mat. Sb. (N.S.), 112(154):2(6) (1980), 193–206 ; Math. USSR-Sb., 40:2 (1981), 179–192 |
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33. |
N. M. Ivochkina, “Second-order differential equations with $d$-elliptic operators”, Trudy Mat. Inst. Steklov., 147 (1980), 40–56 ; Proc. Steklov Inst. Math., 147 (1981), 37–54 |
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34. |
N. M. Ivochkina, “Apriori estimate of $\|u\|_{C^2(\Omega)}$ convex solutions of Dirichlet problem for Monge–Ampere equation”, Zap. Nauchn. Sem. LOMI, 96 (1980), 69–79 ; J. Soviet Math., 21:5 (1983), 689–697 |
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1975 |
35. |
N. M. Ivochkina, “About possibility integral formula's in $R^n$”, Zap. Nauchn. Sem. LOMI, 52 (1975), 35–51 |
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1973 |
36. |
N. M. Ivochkina, “A priori estimates of the solutions of the Dirichlet problem for multidimensional quasilinear equations of elliptic type”, Trudy Mat. Inst. Steklov., 125 (1973), 95–105 ; Proc. Steklov Inst. Math., 125 (1973), 87–97 |
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1970 |
37. |
N. M. Ivochkina, A. P. Oskolkov, “Nonlocal estimates of the first derivatives of the solutions of the first boundary value problem for certain classes of nonuniformly elliptic and nonuniformly parabolic equations and systems”, Trudy Mat. Inst. Steklov., 110 (1970), 65–101 ; Proc. Steklov Inst. Math., 110 (1970), 75–115 |
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1968 |
38. |
N. M. Ivochkina, A. P. Oskolkov, “Nonlocal estimates of the first derivatives of solutions of the first boundary value problem for nonuniformly elliptic and nonuniformly parabolic nondivergence equations”, Zap. Nauchn. Sem. LOMI, 11 (1968), 6–72 |
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1967 |
39. |
N. M. Ivochkina, A. P. Oskolkov, “Global estimates for the first derivatives of the solutions of Dirichlet problem for nonuniform quasilinear elliptic equations”, Zap. Nauchn. Sem. LOMI, 5 (1967), 37–109 |
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2019 |
40. |
A. A. Borisenko, A. Yu. Vesnin, N. M. Ivochkina, “On the 100th anniversary of the birth of Aleksei Vasil'evich Pogorelov”, Uspekhi Mat. Nauk, 74:6(450) (2019), 171–193 ; Russian Math. Surveys, 74:6 (2019), 1135–1157 |
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