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Publications in Math-Net.Ru |
Citations |
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1999 |
| 1. |
A. P. Oskolkov, “О некоторых псевдопараболических системах
уравнений с малым параметром, возникающих при численном
анализе уравнений жидкостей Кельвина–Фойгта”, Vestnik Chelyabinsk. Gos. Univ., 1999, no. 4, 155–173 |
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1996 |
| 2. |
N. A. Karazeeva, A. P. Oskolkov, “On the estimation of the Hausdorff dimension of the attractor for two-dimensional equations of Oldroyd fluids”, Zap. Nauchn. Sem. POMI, 226 (1996), 109–119 ; J. Math. Sci. (New York), 89:1 (1998), 988–995 |
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1995 |
| 3. |
A. P. Oskolkov, “Nonlocal problems for the equations of Kelvin–Voight fluids and their $\varepsilon$-approximations in classes of smooth functions”, Zap. Nauchn. Sem. POMI, 230 (1995), 214–242 ; J. Math. Sci. (New York), 91:2 (1998), 2840–2859 |
5
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| 4. |
A. P. Oskolkov, “Smooth global solutions of initial boundary-value problems for the equations of Oldroyd fluids and of their $\varepsilon$-approximations”, Zap. Nauchn. Sem. POMI, 229 (1995), 247–267 ; J. Math. Sci. (New York), 89:6 (1998), 1750–1763 |
3
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| 5. |
A. P. Oskolkov, “The penalty method for the equations of viscoelastic media”, Zap. Nauchn. Sem. POMI, 224 (1995), 267–278 ; J. Math. Sci. (New York), 88:2 (1998), 283–291 |
10
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| 6. |
A. P. Oskolkov, “Nonlocal problems for the equations of Kelvin–Voight fluids and their $\varepsilon$-approximations”, Zap. Nauchn. Sem. POMI, 221 (1995), 185–207 ; J. Math. Sci. (New York), 87:2 (1997), 3393–3408 |
8
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1994 |
| 7. |
A. P. Oskolkov, “Smooth and convergent $\varepsilon$-approximations of the first initial boundary-value problem for the equations of Kelvin–Voight fluids”, Zap. Nauchn. Sem. POMI, 219 (1994), 186–212 ; J. Math. Sci. (New York), 86:4 (1997), 2926–2943 |
1
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| 8. |
A. P. Oskolkov, “Smooth and convergent $\varepsilon$-approximations of the first boundary-value problem for the equations of Kelvin–Voight fluids and Oldroyd fluids”, Zap. Nauchn. Sem. POMI, 215 (1994), 246–255 ; J. Math. Sci. (New York), 85:1 (1997), 1715–1721 |
1
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| 9. |
A. P. Oskolkov, “Time periodic solutions of the smooth convergent and dissipative $\varepsilon$-approximations for the modified Navier–Stokes equations.”, Zap. Nauchn. Sem. POMI, 213 (1994), 116–130 ; J. Math. Sci. (New York), 84:1 (1997), 888–897 |
| 10. |
A. P. Oskolkov, “Initial-boundary value problem with a free surface condition for the modified Navier–Stokes equations”, Zap. Nauchn. Sem. POMI, 213 (1994), 93–115 ; J. Math. Sci. (New York), 84:1 (1997), 873–887 |
7
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| 11. |
A. P. Oskolkov, “Initial-boundary value problem with a free surface condition for the penalized equations of aqueous solutions of polymers”, Zap. Nauchn. Sem. POMI, 210 (1994), 241–250 ; J. Math. Sci., 83:2 (1997), 320–326 |
3
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1993 |
| 12. |
A. A. Kotsiolis, A. P. Oskolkov, “Initial boundary-value problems for equations of slightly compressible Jeffreys–Oldroyd fluids”, Zap. Nauchn. Sem. POMI, 208 (1993), 200–218 ; J. Math. Sci., 81:2 (1996), 2578–2588 |
4
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| 13. |
A. A. Kotsiolis, A. P. Oskolkov, “The initial-boundary value problem with a free surface condition for the $\varepsilon$-approximations of the Navier–Stokes equations and some their regularizations”, Zap. Nauchn. Sem. POMI, 205 (1993), 38–70 ; J. Math. Sci., 80:3 (1996), 1773–1801 |
4
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1992 |
| 14. |
A. P. Oskolkov, “On semilinear dissipative systems of equations with a small parameter that arise in solution of the Navier–Stokes equations, equation of motion of the Oldroyd fluids, and equations of motion of the Kelvin–Voight fluids”, Zap. Nauchn. Sem. POMI, 202 (1992), 158–184 ; J. Math. Sci., 79:3 (1996), 1129–1145 |
1
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| 15. |
A. P. Oskolkov, “To the stability theory for the solutions of the semilinear dissipative Sobolev type equations”, Zap. Nauchn. Sem. POMI, 200 (1992), 139–148 ; J. Math. Sci., 77:3 (1995), 3225–3231 |
6
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| 16. |
A. A. Kotsiolis, A. P. Oskolkov, R. D. Shadiev, “Nonlocal problems for some class nonlinear dissipative Sobolev type equations”, Zap. Nauchn. Sem. POMI, 199 (1992), 91–113 ; J. Math. Sci., 77:2 (1995), 3076–3089 |
2
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| 17. |
A. P. Oskolkov, “Nonlocal problems for the equations of motion of the Kelvin–Voight fluids”, Zap. Nauchn. Sem. LOMI, 197 (1992), 120–158 ; J. Math. Sci., 75:6 (1995), 2058–2078 |
59
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1991 |
| 18. |
A. P. Oskolkov, “Nonlocal problems for some class nonlinear operator equations arising in the theory Sobolev type equations”, Zap. Nauchn. Sem. LOMI, 198 (1991), 31–48 ; J. Soviet Math., 64:1 (1993), 724–736 |
38
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| 19. |
A. P. Oskolkov, D. V. Emelyanova, “Some nonlocal problems for two-dimensional equations of motion of Oldroyd fluids”, Zap. Nauchn. Sem. LOMI, 189 (1991), 101–121 ; J. Soviet Math., 62:5 (1992), 3004–3016 |
1
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| 20. |
A. P. Oskolkov, M. M. Achmatov, R. D. Shadiev, “Nonlocal problems for the equations of filtration of nonnewtonian fluids in porous media”, Zap. Nauchn. Sem. LOMI, 189 (1991), 82–100 ; J. Soviet Math., 62:5 (1992), 2992–3004 |
2
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| 21. |
A. P. Oskolkov, R. D. Shadiev, “Some nonlocal problems for the modified Navier–Stokes equations”, Zap. Nauchn. Sem. LOMI, 188 (1991), 105–127 ; J. Math. Sci., 70:3 (1994), 1789–1805 |
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1990 |
| 22. |
N. A. Karazeeva, A. A. Cotsiolis, A. P. Oskolkov, “Dynamical systems generated by initial-boundary value problems for equations of motion of linear viscoelastic fluids”, Trudy Mat. Inst. Steklov., 188 (1990), 59–87 ; Proc. Steklov Inst. Math., 188 (1991), 73–108 |
6
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| 23. |
A. P. Oskolkov, R. D. Shadiev, “Nonlocal problems of the theory of the equations of motion for Kelvin–Voight fluids. II”, Zap. Nauchn. Sem. LOMI, 185 (1990), 111–124 ; J. Soviet Math., 59:6 (1992), 1206–1214 |
9
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| 24. |
A. P. Oskolkov, “An error estimate uniform in time for spectral Galerkln approximations of the Kelvin-Voight problem”, Zap. Nauchn. Sem. LOMI, 182 (1990), 123–130 ; J. Soviet Math., 62:3 (1992), 2802–2806 |
10
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| 25. |
A. A. Kotsiolis, A. P. Oskolkov, R. D. Shadiev, “Apriori estimates on the semiaxis $t\geqslant0$ for solutions of equations of motion of linear viscoelastic fluids with infinite Dirichlet integral and their applications”, Zap. Nauchn. Sem. LOMI, 182 (1990), 86–101 ; J. Soviet Math., 62:3 (1992), 2777–2788 |
2
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| 26. |
A. P. Oskolkov, R. D. Shadiev, “Nonlocal problems of the theory of the equations of motion for Kelvin–Voight fluids”, Zap. Nauchn. Sem. LOMI, 181 (1990), 146–185 ; J. Soviet Math., 62:2 (1992), 2699–2723 |
7
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| 27. |
A. P. Oskolkov, R. Shadiev, “To the theory of global solvability
on $[0,\infty)$ initial boundary-value problems for the
equations of motion of Oldroyd type fluids and Kelvin–Voight type fluids”, Zap. Nauchn. Sem. LOMI, 180 (1990), 121–141 ; J. Math. Sci., 68:2 (1994), 240–253 |
47
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| 28. |
A. A. Kotsiolis, A. P. Oskolkov, R. Shadiev, “Asymptotical stability and time periodicity of “small” solutions of the equations of motion of Oldroyd type fluids and Kelvin–Voight type fluids”, Zap. Nauchn. Sem. LOMI, 180 (1990), 63–75 ; J. Math. Sci., 68:2 (1994), 202–211 |
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1989 |
| 29. |
A. P. Oskolkov, “On the asymptotical behaviour for $t\to\infty$ of solutions of initial boundary-value problems for the equations of motions of linear viscoelastic fluids”, Zap. Nauchn. Sem. LOMI, 171 (1989), 174–181 ; J. Soviet Math., 56:2 (1991), 2396–2402 |
1
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1988 |
| 30. |
A. P. Oskolkov, “Initial-boundary value problems for equations of motion of Kelvin–Voight fluids and Oldroyd fluids”, Trudy Mat. Inst. Steklov., 179 (1988), 126–164 ; Proc. Steklov Inst. Math., 179 (1989), 137–182 |
77
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1987 |
| 31. |
N. A. Karazeeva, A. Cotsiolis, A. P. Oskolkov, “On the dynamical system generated by the equations of motion of the Oldroyd fluids of the order $L$”, Zap. Nauchn. Sem. LOMI, 164 (1987), 47–53 |
| 32. |
A. P. Oskolkov, M. M. Achmatov, “Convergent difference schemes for the equations of filtration of fluids with delay. II”, Zap. Nauchn. Sem. LOMI, 163 (1987), 138–142 |
| 33. |
A. P. Oskolkov, M. M. Achmatov, A. Cotsiolis, “On the equations of motion of linear viscoelastic fluids and the equations of filtration of fluids with delay”, Zap. Nauchn. Sem. LOMI, 163 (1987), 132–137 |
2
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| 34. |
N. A. Karazeeva, A. P. Oskolkov, “Attractors and dynamical systems generated by initial-boundary value problems for equations of motion of viscoelastic liquids”, Zap. Nauchn. Sem. LOMI, 162 (1987), 159–168 |
| 35. |
M. M. Achmatov, A. P. Oskolkov, “Convergent difference schemes for equations of motion of Oldroyd fluids”, Zap. Nauchn. Sem. LOMI, 159 (1987), 143–152 |
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1986 |
| 36. |
A. Cotsiolis, A. P. Oskolkov, “On the dynamical system generated bу the equations of motion of Oldroyd fluids”, Zap. Nauchn. Sem. LOMI, 155 (1986), 136–141 ; J. Soviet Math., 41:2 (1988), 967–970 |
8
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| 37. |
A. P. Oskolkov, M. M. Achmatov, “Convergent finite-difference schemes for the equations of filtration of fluids with delay”, Zap. Nauchn. Sem. LOMI, 152 (1986), 86–93 |
| 38. |
A. Cotsiolis, A. P. Oskolkov, “On the limit behaviour and the attractor for the equations of motion of Oldroyd fluids”, Zap. Nauchn. Sem. LOMI, 152 (1986), 67–71 |
2
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| 39. |
A. P. Oskolkov, M. M. Achmatov, “On correctness of the initial-boundary value problems for the equations of fluid filtration with delay”, Zap. Nauchn. Sem. LOMI, 150 (1986), 76–86 |
| 40. |
A. Cotsiolis, A. P. Oskolkov, “On the solvability of the main initial-boundary value problem for the equations of motion of Oldroyd fluids on $(0,\infty)$ and the behaviour of its solutions as $t\to+\infty$”, Zap. Nauchn. Sem. LOMI, 150 (1986), 48–52 |
4
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1985 |
| 41. |
A. P. Oskolkov, “Initial-boundary value problems for equations of motion nonlinear viscoelastic fluids”, Zap. Nauchn. Sem. LOMI, 147 (1985), 110–119 |
3
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| 42. |
A. P. Oskolkov, “On the theory of Maxwell fluids. III”, Zap. Nauchn. Sem. LOMI, 145 (1985), 164–172 |
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1983 |
| 43. |
A. P. Oskolkov, “Unsteady flows of viscoelastic fluids”, Trudy Mat. Inst. Steklov., 159 (1983), 103–131 ; Proc. Steklov Inst. Math., 159 (1984), 105–134 |
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| 44. |
A. P. Oskolkov, “On the theory of Maxwell liquids. II”, Zap. Nauchn. Sem. LOMI, 131 (1983), 106–113 |
| 45. |
A. P. Oskolkov, “On the theory of nonstationary flows of the Maxwell liquids and nonlinear visсo-elastio liquids”, Zap. Nauchn. Sem. LOMI, 127 (1983), 158–168 |
1
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1982 |
| 46. |
A. P. Oskolkov, “On the theory of nonstationary flows of nonlinear visco-elastlc liquids”, Zap. Nauchn. Sem. LOMI, 120 (1982), 142–158 |
| 47. |
A. P. Oskolkov, “Theory of nonstationary flows of Kelvin–Voigt fluids”, Zap. Nauchn. Sem. LOMI, 115 (1982), 191–202 ; J. Soviet Math., 28:5 (1985), 751–758 |
48
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1981 |
| 48. |
A. P. Oskolkov, “Certain model nonstationary systems in the theory of non-Newtonian fluids. IV”, Zap. Nauchn. Sem. LOMI, 110 (1981), 141–162 ; J. Soviet Math., 25:1 (1984), 902–917 |
5
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| 49. |
A. P. Oskolkov, “On the theory of Maxwell liquids”, Zap. Nauchn. Sem. LOMI, 101 (1981), 119–127 ; J. Soviet Math., 23:4 (1983), 2447–2453 |
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1980 |
| 50. |
A. P. Oskolkov, “On the theory of the Voight liquids”, Zap. Nauchn. Sem. LOMI, 96 (1980), 233–236 ; J. Soviet Math., 21:5 (1983), 818–821 |
13
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| 51. |
A. P. Oskolkov, “Model nonstationary systems in the theory of non-Newtonian fluids. III”, Zap. Nauchn. Sem. LOMI, 96 (1980), 205–232 ; J. Soviet Math., 21:5 (1983), 797–818 |
2
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1979 |
| 52. |
A. P. Oskolkov, “Some model nonstationary systems in the theory of non-Newtonian fluids. II”, Zap. Nauchn. Sem. LOMI, 84 (1979), 185–210 ; J. Soviet Math., 21:3 (1983), 383–399 |
2
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1977 |
| 53. |
A. P. Oskolkov, “Construction of characteristic functions for the system of Navier–Stokes–Voigt equations and the BBM equation”, Zap. Nauchn. Sem. LOMI, 69 (1977), 136–148 ; J. Soviet Math., 10:1 (1978), 95–103 |
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1976 |
| 54. |
A. P. Oskolkov, “Some nonstationary linear and quasilinear systems occurring in the investigation of the motion of viscous fluids”, Zap. Nauchn. Sem. LOMI, 59 (1976), 133–177 ; J. Soviet Math., 10:2 (1978), 299–335 |
42
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1975 |
| 55. |
A. P. Oskolkov, “Certain model nonstationary systems in the theory of non-Newtonian fluids”, Trudy Mat. Inst. Steklov., 127 (1975), 32–57 ; Proc. Steklov Inst. Math., 127 (1975), 37–66 |
3
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| 56. |
A. P. Oskolkov, “On admissible groups of transformations for some quasi-linearthir third-order equations”, Zap. Nauchn. Sem. LOMI, 52 (1975), 158–159 |
| 57. |
A. P. Oskolkov, “On some quasilinears systems occuring in studing of motion of viscous fluids”, Zap. Nauchn. Sem. LOMI, 52 (1975), 128–157 |
11
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1973 |
| 58. |
A. P. Oskolkov, “Certain convergent difference schemes for the Navier–Stokes equations”, Trudy Mat. Inst. Steklov., 125 (1973), 164–172 ; Proc. Steklov Inst. Math., 125 (1973), 154–162 |
| 59. |
A. P. Oskolkov, “The asymptotic behavior of the solutions of certain systems with a small parameter that approximate the Navier–Stokes system of equations”, Trudy Mat. Inst. Steklov., 125 (1973), 147–163 ; Proc. Steklov Inst. Math., 125 (1973), 137–153 |
| 60. |
A. P. Oskolkov, “Uniqueness and global solvability for boundary-value problems
for the equations of motion of water solutions of polymers”, Zap. Nauchn. Sem. LOMI, 38 (1973), 98–136 |
16
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| 61. |
S. P. Kartashova, A. P. Oskolkov, “On the convergent difference schemes for equations of water solutions mouvement of polymers”, Zap. Nauchn. Sem. LOMI, 35 (1973), 21–35 |
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1972 |
| 62. |
A. P. Oskolkov, “On the global solvability of a boundary value problem for a system of third order occuring in studying of motion of wiscous fluid”, Zap. Nauchn. Sem. LOMI, 27 (1972), 145–160 |
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1971 |
| 63. |
A. P. Oskolkov, V. A. Tarasov, “A priori estimates of weighted first derivatives for certain classes of nonuniformly elliptic quasilinear equations in an unbounded domain”, Trudy Mat. Inst. Steklov., 116 (1971), 152–161 ; Proc. Steklov Inst. Math., 116 (1971), 156–166 |
| 64. |
A. P. Oskolkov, “Certain classes on non-uniformly elliptic quasilinear equations. II”, Trudy Mat. Inst. Steklov., 116 (1971), 137–151 ; Proc. Steklov Inst. Math., 116 (1971), 140–155 |
| 65. |
A. P. Oskolkov, “On the solvability of the Diricnlet problem for quasi-linear elliptic systems in non-bounded domains in a class of bounded runctions”, Zap. Nauchn. Sem. LOMI, 21 (1971), 104–111 |
| 66. |
A. P. Oskolkov, “On aquasi-linear parabolic system with a small parameter approximating the Navier–Stokes system”, Zap. Nauchn. Sem. LOMI, 21 (1971), 79–103 |
4
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1970 |
| 67. |
A. P. Oskolkov, “Interior estimates of the first derivatives for a certain class of quasilinear elliptic systems”, Trudy Mat. Inst. Steklov., 110 (1970), 102–106 ; Proc. Steklov Inst. Math., 110 (1970), 116–122 |
| 68. |
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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1969 |
| 69. |
A. P. Oskolkov, “On the solvability of the Dirichlet problem for quasilinear elliptic equations in unbaunded domains”, Zap. Nauchn. Sem. LOMI, 14 (1969), 173–190 |
| 70. |
A. P. Oskolkov, “On certain classes of non-uniformly elliptic quasilinear equations”, Zap. Nauchn. Sem. LOMI, 14 (1969), 156–172 |
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1968 |
| 71. |
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 |
| 72. |
A. P. Oskolkov, “A remark on the estimate of Hölder constant for some non-uniform elliptic quasilinear equations”, Zap. Nauchn. Sem. LOMI, 7 (1968), 178–183 |
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1967 |
| 73. |
A. P. Oskolkov, “Solvability of the Dirichlet problem for quasilinear elliptic equations in an unbounded region. I”, Trudy Mat. Inst. Steklov., 102 (1967), 128–136 ; Proc. Steklov Inst. Math., 102 (1967), 145–155 |
| 74. |
A. P. Oskolkov, “A priori estimates of the first derivatives of solutions of Dirichlet's problem for nonuniformly elliptic quasilinear equations”, Trudy Mat. Inst. Steklov., 102 (1967), 105–127 ; Proc. Steklov Inst. Math., 102 (1967), 119–144 |
1
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| 75. |
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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1966 |
| 76. |
A. P. Oskolkov, “Some estimates for nonuniformly elliptic equations and systems”, Trudy Mat. Inst. Steklov., 92 (1966), 203–232 ; Proc. Steklov Inst. Math., 92 (1966), 233–267 |
| 77. |
A. P. Oskolkov, “Prior estimates of the first derivatives for two-dimensional quasi-linear strongly elliptic systems”, Trudy Mat. Inst. Steklov., 92 (1966), 192–202 ; Proc. Steklov Inst. Math., 92 (1966), 219–232 |
| 78. |
A. P. Oskolkov, “Prior estimates of first derivatives for two-dimensional linear strongly elliptic systems and elliptic mappings”, Trudy Mat. Inst. Steklov., 92 (1966), 182–191 ; Proc. Steklov Inst. Math., 92 (1966), 207–218 |
1
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1964 |
| 79. |
A. P. Oskolkov, “Hölder continuity of the generalized solutions of a class of quasi-linear systems”, Trudy Mat. Inst. Steklov., 70 (1964), 116–132 |
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1963 |
| 80. |
A. P. Oskolkov, “On the solution of boundary-value problems for linear elliptic equations in an infinite region”, Dokl. Akad. Nauk SSSR, 153:1 (1963), 34–37 |
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1994 |
| 81. |
A. N. Andrianov, A. I. Vinogradov, E. P. Golubeva, G. V. Kuz'mina, A. P. Oskolkov, O. M. Fomenko, “Boris F. Skubenko. An essay on his life and scientific work”, Zap. Nauchn. Sem. POMI, 212 (1994), 5–9 ; J. Math. Sci., 83:6 (1997), 689–693 |
1
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| 82. |
Z. I. Borevich, A. P. Oskolkov, E. V. Podsypanin, A. I. Skopin, Yu. G. Teterin, A. V. Yakovlev, “A. V. Malyshev, scientist and teacher”, Zap. Nauchn. Sem. POMI, 211 (1994), 7–13 ; J. Math. Sci., 83:5 (1997), 565–574 |
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1983 |
| 83. |
A. D. Aleksandrov, A. P. Oskolkov, N. N. Ural'tseva, L. D. Faddeev, “Ol'ga Aleksandrovna Ladyzhenskaya (on her sixtieth birthday)”, Uspekhi Mat. Nauk, 38:5(233) (1983), 215–223 ; Russian Math. Surveys, 38:5 (1983), 171–181 |
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