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Nazarov Alexander Il'ich

Publications in Math-Net.Ru

  1. Hölder estimate for solutions of divergence type elliptic equation on a stratified set

    Algebra i Analiz, 36:1 (2024),  170–194
  2. A survey of results of St.Petersburg State University research school on nonlinear partial differential equations I

    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:1 (2024),  3–37
  3. The Robin problem for quasilinear equations with critical growth of the right-hand side

    Zap. Nauchn. Sem. POMI, 536 (2024),  126–139
  4. Nonstationary venttsel problem with $VMO_x$ leading coefficients

    Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023),  13–17
  5. The quasilinear parabolic Venttsel' problem with discontinuous leading coefficients

    Funktsional. Anal. i Prilozhen., 57:2 (2023),  93–99
  6. The normal derivative lemma and surrounding issues

    Uspekhi Mat. Nauk, 77:2(464) (2022),  3–68
  7. Local Aleksandrov–Bakelman type maximum estimate for solutions to elliptic equations on a book-type stratified set

    Zap. Nauchn. Sem. POMI, 519 (2022),  105–113
  8. A trace formula for higher order ordinary differential operators

    Mat. Sb., 212:5 (2021),  80–101
  9. New classes of solutions to semilinear equations in $\mathbb R^n$ with fractional Laplacian

    Zap. Nauchn. Sem. POMI, 508 (2021),  124–133
  10. On the available local asymptotic efficiency of some goodness-of-fit criteria

    Zap. Nauchn. Sem. POMI, 501 (2021),  218–235
  11. On a Family of Ordinary Differential Equations Integrable in Elementary Functions

    Mat. Zametki, 108:4 (2020),  623–625
  12. A general trace formula for the differential operator on a segment with the last coefficient perturbed by a finite signed measure

    Algebra i Analiz, 30:3 (2018),  30–54
  13. A generalization of the Hardy inequality

    Zap. Nauchn. Sem. POMI, 477 (2018),  112–118
  14. On Phragmén — Lindelöf principle for Non-divergence Type Elliptic Equations and Mixed Boundary conditions

    Mathematical Physics and Computer Simulation, 20:3 (2017),  65–76
  15. On the spectra of boundary value problems generated by some 1D embedding theorems

    Zap. Nauchn. Sem. POMI, 459 (2017),  58–65
  16. Variational inequalities for the spectral fractional Laplacian

    Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017),  381
  17. The multiplicity of positive solutions to the quasilinear equation generated by the Il'in–Caffarelli–Kohn–Nirenberg inequality

    Zap. Nauchn. Sem. POMI, 444 (2016),  98–109
  18. The small ball asymptotics in Hilbertian norm for the Kac–Kiefer–Wolfowitz processes

    Teor. Veroyatnost. i Primenen., 60:3 (2015),  482–505
  19. On symmetry of the extremal in some embedding theorems

    Zap. Nauchn. Sem. POMI, 425 (2014),  35–45
  20. Comparison theorems for the small ball probabilities of the Green Gaussian processes in weighted $L_2$-norms

    Algebra i Analiz, 25:3 (2013),  131–146
  21. On conditions of validity of the Poincaré inequality

    Zap. Nauchn. Sem. POMI, 410 (2013),  104–109
  22. The Harnack inequality and related properties for solutions to elliptic and parabolic equations with divergence-free lower-order coefficients

    Algebra i Analiz, 23:1 (2011),  136–168
  23. Trace Hardy–Sobolev inequalities in cones

    Algebra i Analiz, 22:6 (2010),  200–213
  24. On elastic waves in a wedge

    Zap. Nauchn. Sem. POMI, 380 (2010),  45–52
  25. Hölder estimates for solutions to degenerate nondivergence elliptic and parabolic equations

    Algebra i Analiz, 21:4 (2009),  174–195
  26. On one transformations family of Gaussian random functions

    Teor. Veroyatnost. i Primenen., 54:2 (2009),  209–225
  27. Exact small deviation asymptotics in $L_2$-norm for some weighted Gaussian processes

    Zap. Nauchn. Sem. POMI, 364 (2009),  166–199
  28. What is the Least Expected Number of Real Roots of a Random Polynomial?

    Teor. Veroyatnost. i Primenen., 53:1 (2008),  40–58
  29. On Tabachnikov's conjecture

    Algebra i Analiz, 19:1 (2007),  177–193
  30. Weighted Sobolev-type embedding theorems for functions with symmetries

    Algebra i Analiz, 18:1 (2006),  108–123
  31. On solvability of Dirichlet problem to semilinear Schrödinger equation with singular potential

    Zap. Nauchn. Sem. POMI, 336 (2006),  25–45
  32. On the existence of an extremal function in Sobolev embedding theorems with limit exponent

    Algebra i Analiz, 17:5 (2005),  105–140
  33. Logarithmic $L_2$-small ball asymptotics for some fractional Gaussian processes

    Teor. Veroyatnost. i Primenen., 49:4 (2004),  695–711
  34. Logarithmic $L_2$-small ball asymptotics with respect to self-similar measure for some Gaussian processes

    Zap. Nauchn. Sem. POMI, 311 (2004),  190–213
  35. Degenerate Venttsel' boundary value problem to elliptic equations

    Zap. Nauchn. Sem. POMI, 310 (2004),  82–97
  36. The elliptic Dirichlet problem in weight spaces

    Zap. Nauchn. Sem. POMI, 288 (2002),  14–33
  37. Estimates of the maximum for solutions of elliptic and parabolic equations in terms of weighted norms of the right-hand side

    Algebra i Analiz, 13:2 (2001),  151–164
  38. The eigenfunctions of a Sturm–Liouville problem related to generalized lyapunov sines

    Differ. Uravn., 36:7 (2000),  1000
  39. Quasilinear two-phase Venttsel problems

    Zap. Nauchn. Sem. POMI, 271 (2000),  11–38
  40. About “one-dimensionality” of the extremal in the Poincare inequality in the square

    Zap. Nauchn. Sem. POMI, 259 (1999),  167–181
  41. On a family of extremum problems and the properties of an integral

    Mat. Zametki, 64:6 (1998),  830–838
  42. Solving of Vent'sel boundary-value problem for Laplace and Helmholtz equations by iterated potentials

    Zap. Nauchn. Sem. POMI, 250 (1998),  203–218
  43. On the quasilinear stationary Ventzel boundary-value problem

    Zap. Nauchn. Sem. POMI, 221 (1995),  20–29
  44. An initial-boundary value problem with a Venttsel' boundary condition for parabolic equations not in divergence form

    Algebra i Analiz, 6:6 (1994),  1–29
  45. Oblique Boundary Value Problem for Quasilinear Parabolic Equation

    Zap. Nauchn. Sem. POMI, 200 (1992),  118–131
  46. Estimates of the Hölder constant for the solution of an initia-boundary value problem with an oblique derivative for a parabolic equation

    Zap. Nauchn. Sem. LOMI, 163 (1987),  130–131
  47. Convex-monotonous bulls and an estimate of Biaximum for solutions of the parabolic equation

    Zap. Nauchn. Sem. LOMI, 147 (1985),  95–109

  48. Preface

    Algebra i Analiz, 36:1 (2024),  3–6
  49. On the 90th birthday of Nina Nikolaevna Ural'tseva

    Uspekhi Mat. Nauk, 79:6(480) (2024),  179–192
  50. Preface

    Zap. Nauchn. Sem. POMI, 536 (2024),  5–6
  51. Ольга Александровна Ладыженская (1922–2004)

    Mat. Pros., Ser. 3, 30 (2023),  7–30
  52. On the 90th birthday of Vsevolod Alekseevich Solonnikov

    Uspekhi Mat. Nauk, 78:5(473) (2023),  187–198
  53. Scientific schools of mathematics, mechanics, astronomy of St Petersburg University: on the 300th anniversary of St. Petersburg State University

    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:2 (2023),  185–186
  54. 75 years of the V. I. Smirnov seminar

    Zap. Nauchn. Sem. POMI, 519 (2022),  5–9
  55. Viktor Abramovich Zalgaller (obituary)

    Uspekhi Mat. Nauk, 76:5(461) (2021),  195–198
  56. Preface

    Algebra i Analiz, 32:3 (2020),  3
  57. Corrigendum

    Zap. Nauchn. Sem. POMI, 489 (2020),  225
  58. “Keep the traces of Man in the sand of time!” (V. I. Smirnov)

    Algebra i Analiz, 30:2 (2018),  3–17
  59. Nina Nikolaevna Ural'tseva

    Algebra i Analiz, 27:3 (2015),  3–5
  60. Correction to the paper “Solving the Venttsel problem for the Laplace and Helmholtz equations with the help of iterated potentials”

    Zap. Nauchn. Sem. POMI, 324 (2005),  129–130

© Steklov Math. Inst. of RAS, 2025