Nazarov Alexander Il'ich

Publications in Math-Net.Ru

1. A Survey of Results on 1D Steklov Type Inequalities
   
   Trudy Mat. Inst. Steklova, 331 (2025),  141–154
2. On sharp $L_2$-small ball asymptotics for a family of Durbin processes
   
   Zap. Nauchn. Sem. POMI, 544 (2025),  154–169
3. Hölder estimate for solutions of divergence type elliptic equation on a stratified set
   
   Algebra i Analiz, 36:1 (2024),  170–194
4. 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
5. The Robin problem for quasilinear equations with critical growth of the right-hand side
   
   Zap. Nauchn. Sem. POMI, 536 (2024),  126–139
6. Nonstationary venttsel problem with $VMO_x$ leading coefficients
   
   Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023),  13–17
7. The quasilinear parabolic Venttsel' problem with discontinuous leading coefficients
   
   Funktsional. Anal. i Prilozhen., 57:2 (2023),  93–99
8. The normal derivative lemma and surrounding issues
   
   Uspekhi Mat. Nauk, 77:2(464) (2022),  3–68
9. 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
10. A trace formula for higher order ordinary differential operators
    
    Mat. Sb., 212:5 (2021),  80–101
11. New classes of solutions to semilinear equations in $\mathbb R^n$ with fractional Laplacian
    
    Zap. Nauchn. Sem. POMI, 508 (2021),  124–133
12. On the available local asymptotic efficiency of some goodness-of-fit criteria
    
    Zap. Nauchn. Sem. POMI, 501 (2021),  218–235
13. On a Family of Ordinary Differential Equations Integrable in Elementary Functions
    
    Mat. Zametki, 108:4 (2020),  623–625
14. 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
15. A generalization of the Hardy inequality
    
    Zap. Nauchn. Sem. POMI, 477 (2018),  112–118
16. On Phragmén — Lindelöf principle for Non-divergence Type Elliptic Equations and Mixed Boundary conditions
    
    Mathematical Physics and Computer Simulation, 20:3 (2017),  65–76
17. On the spectra of boundary value problems generated by some 1D embedding theorems
    
    Zap. Nauchn. Sem. POMI, 459 (2017),  58–65
18. Variational inequalities for the spectral fractional Laplacian
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017),  381
19. 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
20. The small ball asymptotics in Hilbertian norm for the Kac–Kiefer–Wolfowitz processes
    
    Teor. Veroyatnost. i Primenen., 60:3 (2015),  482–505
21. On symmetry of the extremal in some embedding theorems
    
    Zap. Nauchn. Sem. POMI, 425 (2014),  35–45
22. 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
23. On conditions of validity of the Poincaré inequality
    
    Zap. Nauchn. Sem. POMI, 410 (2013),  104–109
24. 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
25. Trace Hardy–Sobolev inequalities in cones
    
    Algebra i Analiz, 22:6 (2010),  200–213
26. On elastic waves in a wedge
    
    Zap. Nauchn. Sem. POMI, 380 (2010),  45–52
27. Hölder estimates for solutions to degenerate nondivergence elliptic and parabolic equations
    
    Algebra i Analiz, 21:4 (2009),  174–195
28. On one transformations family of Gaussian random functions
    
    Teor. Veroyatnost. i Primenen., 54:2 (2009),  209–225
29. Exact small deviation asymptotics in $L_2$-norm for some weighted Gaussian processes
    
    Zap. Nauchn. Sem. POMI, 364 (2009),  166–199
30. What is the Least Expected Number of Real Roots of a Random Polynomial?
    
    Teor. Veroyatnost. i Primenen., 53:1 (2008),  40–58
31. On Tabachnikov's conjecture
    
    Algebra i Analiz, 19:1 (2007),  177–193
32. Weighted Sobolev-type embedding theorems for functions with symmetries
    
    Algebra i Analiz, 18:1 (2006),  108–123
33. On solvability of Dirichlet problem to semilinear Schrödinger equation with singular potential
    
    Zap. Nauchn. Sem. POMI, 336 (2006),  25–45
34. On the existence of an extremal function in Sobolev embedding theorems with limit exponent
    
    Algebra i Analiz, 17:5 (2005),  105–140
35. Logarithmic $L_2$-small ball asymptotics for some fractional Gaussian processes
    
    Teor. Veroyatnost. i Primenen., 49:4 (2004),  695–711
36. Logarithmic $L_2$-small ball asymptotics with respect to self-similar measure for some Gaussian processes
    
    Zap. Nauchn. Sem. POMI, 311 (2004),  190–213
37. Degenerate Venttsel' boundary value problem to elliptic equations
    
    Zap. Nauchn. Sem. POMI, 310 (2004),  82–97
38. The elliptic Dirichlet problem in weight spaces
    
    Zap. Nauchn. Sem. POMI, 288 (2002),  14–33
39. 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
40. The eigenfunctions of a Sturm–Liouville problem related to generalized lyapunov sines
    
    Differ. Uravn., 36:7 (2000),  1000
41. Quasilinear two-phase Venttsel problems
    
    Zap. Nauchn. Sem. POMI, 271 (2000),  11–38
42. About “one-dimensionality” of the extremal in the Poincare inequality in the square
    
    Zap. Nauchn. Sem. POMI, 259 (1999),  167–181
43. On a family of extremum problems and the properties of an integral
    
    Mat. Zametki, 64:6 (1998),  830–838
44. Solving of Vent'sel boundary-value problem for Laplace and Helmholtz equations by iterated potentials
    
    Zap. Nauchn. Sem. POMI, 250 (1998),  203–218
45. On the quasilinear stationary Ventzel boundary-value problem
    
    Zap. Nauchn. Sem. POMI, 221 (1995),  20–29
46. 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
47. Oblique Boundary Value Problem for Quasilinear Parabolic Equation
    
    Zap. Nauchn. Sem. POMI, 200 (1992),  118–131
48. 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
49. Convex-monotonous bulls and an estimate of Biaximum for solutions of the parabolic equation
    
    Zap. Nauchn. Sem. LOMI, 147 (1985),  95–109


50. Nikolai Germanovich Kuzhetsov (obituary)
    
    Uspekhi Mat. Nauk, 81:2(488) (2026),  177–180
51. Preface
    
    Algebra i Analiz, 36:1 (2024),  3–6
52. On the 90th birthday of Nina Nikolaevna Uraltseva
    
    Uspekhi Mat. Nauk, 79:6(480) (2024),  179–192
53. Preface
    
    Zap. Nauchn. Sem. POMI, 536 (2024),  5–6
54. Ольга Александровна Ладыженская (1922–2004)
    
    Mat. Pros., Ser. 3, 30 (2023),  7–30
55. On the 90th birthday of Vsevolod Alekseevich Solonnikov
    
    Uspekhi Mat. Nauk, 78:5(473) (2023),  187–198
56. 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
57. 75 years of the V. I. Smirnov seminar
    
    Zap. Nauchn. Sem. POMI, 519 (2022),  5–9
58. Viktor Abramovich Zalgaller (obituary)
    
    Uspekhi Mat. Nauk, 76:5(461) (2021),  195–198
59. Preface
    
    Algebra i Analiz, 32:3 (2020),  3
60. Corrigendum
    
    Zap. Nauchn. Sem. POMI, 489 (2020),  225
61. “Keep the traces of Man in the sand of time!” (V. I. Smirnov)
    
    Algebra i Analiz, 30:2 (2018),  3–17
62. Nina Nikolaevna Ural'tseva
    
    Algebra i Analiz, 27:3 (2015),  3–5
63. 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