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## Nazarov, Alexander I.

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 Author ID: nazarov.alexander-i Published as: Nazarov, A.; Nazarov, A. I.; Nazarov, Aleksandr Il.; Nazarov, Alexander; Nazarov, Alexander I. External Links: Math-Net.Ru
 Documents Indexed: 142 Publications since 1985, including 2 Books
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#### Co-Authors

 32 single-authored 27 Apushkinskaya, Darya E. 14 Musina, Roberta 7 Nikitin, Yakov Yu. 5 Ural’tseva, Nina Nikolaevna 4 Lifshits, Mikhail A. 3 Bankevich, Sergey V. 3 Kozlov, Vladimir A. 2 Creo, Simone 2 Demyanov, Alexey V. 2 Karol’, Andrei I. 2 Kuznetsov, Nikolai Germanovich 2 Lancia, Maria Rosaria 2 Lukyanov, Valery V. 2 Palagachev, Dian K. 2 Pusev, R. S. 2 Shcheglova, A. P. 2 Sinkevich, Galina Ivanovna 2 Softova, Lubomira G. 2 Stolyarov, Dmitry M. 2 Zaporozhets, Dmitry 2 Zatitskii, Pavel B. 1 Arkhipova, Arina A. Arkhipova 1 Bakharev, Fedor L’vovich 1 Buslaev, Aleksandr Pavlovich 1 Cao, Dat T. 1 Daskalopoulos, Panagiota 1 Dumbaugh, Della 1 Enin, A. I. 1 Gal’kovskiĭ, E. D. 1 Gerasimov, Ivan V. 1 Hong, Seokyoung 1 Ibragimov, Il’dar Abdullovich 1 Ibraguimov, Akif 1 Ivanov, Sergei Vladimirovich 1 Kapitanski, Lev 1 Kolonitskii, S. B. 1 Kondrat’ev, Vladimir Aleksandrovich 1 Kozlov, V. F. 1 Kozlov, Vladimir Vasilievich 1 Kryzhevich, Sergeĭ Gennad’evich 1 Kulczycki, Tadeusz 1 Kwaśnicki, Mateusz 1 Lerman, Lev 1 Minarsky, A. M. 1 Mukoseeva, E. V. 1 Naryshkin, P. E. 1 Nazarov, Fedor L. 1 Neterebskii, B. O. 1 Paletskikh, A. A. 1 Petrov, Fedor Vladimirovich 1 Petrova, A. N. 1 Petrova, Yu. P. 1 Poborchi, Sergei V. 1 Poborchi, Sergey 1 Polterovich, Iosif 1 Rastegaev, N. V. 1 Repin, Sergeĭ Igorevich 1 Reshetikhin, Nikolai Yu. 1 Reznikov, A. B. 1 Reznikov, Aleksandr 1 Sheipak, Igor A. 1 Siudeja, Bartłomiej Andrzej 1 Sreenadh, Konijeti 1 Stepanova, Natalia A. 1 Ustinov, N. S. 1 Vernole, Paola Gioia 1 Vershik, Anatoliĭ Moiseevich 1 Zavorokhin, German L.
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#### Serials

 21 Journal of Mathematical Sciences (New York) 17 Problemy Matematicheskogo Analiza 12 St. Petersburg Mathematical Journal 4 Theory of Probability and its Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Zapiski Nauchnykh Seminarov POMI 3 Journal of Soviet Mathematics 3 Mathematische Nachrichten 3 Vestnik St. Petersburg University. Mathematics 3 Doklady Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Journal of Functional Analysis 2 Mathematika 2 Statistics & Probability Letters 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 SIAM Journal on Mathematical Analysis 2 Notices of the American Mathematical Society 2 Potential Analysis 2 Calculus of Variations and Partial Differential Equations 2 Russian Journal of Mathematical Physics 2 Translations. Series 2. American Mathematical Society 1 Applicable Analysis 1 Arkiv för Matematik 1 The Mathematical Intelligencer 1 Bulletin of the London Mathematical Society 1 Journal of Differential Equations 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Probability Theory and Related Fields 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 Asymptotic Analysis 1 Algebra i Analiz 1 Applications of Mathematics 1 Journal of Global Optimization 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Electronic Communications in Probability 1 Journal of Nonparametric Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Inequalities & Applications 1 Fractional Calculus & Applied Analysis 1 Differential Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Complex Variables and Elliptic Equations 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Analysis & PDE 1 Journal of Spectral Theory 1 Mathematics 1 ICCM Notices
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#### Fields

 81 Partial differential equations (35-XX) 23 Probability theory and stochastic processes (60-XX) 21 Real functions (26-XX) 19 Functional analysis (46-XX) 19 Operator theory (47-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 9 Ordinary differential equations (34-XX) 8 History and biography (01-XX) 4 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

107 Publications have been cited 561 times in 352 Documents Cited by Year
On fractional Laplacians. Zbl 1304.47061
Musina, Roberta; Nazarov, Alexander I.
2014
Exact $$L_2$$-small ball behavior of integrated Gaussian processes and spectral asymptotics of boundary value problems. Zbl 1051.60041
Nazarov, A. I.; Nikitin, Ya. Yu.
2004
Small ball probabilities for Gaussian random fields and tensor products of compact operators. Zbl 1136.60024
Karol’, Andrei; Nazarov, Alexander; Nikitin, Yakov
2008
The legacy of Vladimir Andreevich Steklov. Zbl 1322.01050
Kuznetsov, Nikolay; Kulczycki, Tadeusz; Kwaśnicki, Mateusz; Nazarov, Alexander; Poborchi, Sergey; Polterovich, Iosif; Siudeja, Bartłomiej
2014
The Harnack inequality and related properties for solutions of elliptic and parabolic equations with divergence-free lower-order coefficients. Zbl 1235.35054
Nazarov, A. I.; Ural’tseva, N. N.
2012
A survey of results on nonlinear Venttsel problems. Zbl 1058.35118
Apushkinskaya, D. E.; Nazarov, A. I.
2000
Exact $$L_{2}$$-small ball asymptotics of Gaussian processes and the spectrum of boundary-value problems. Zbl 1187.60025
Nazarov, Alexander I.
2009
The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients. Zbl 1179.35078
2009
Sharp constants in the Poincaré, Steklov and related inequalities (a survey). Zbl 1321.26042
Kuznetsov, Nikolay; Nazarov, Alexander
2015
A centennial of the Zaremba-Hopf-Oleinik lemma. Zbl 1243.35031
Nazarov, A. I.
2012
On a set of transformations of Gaussian random functions. Zbl 1214.60011
Nazarov, A. I.
2009
Dirichlet and Neumann problems to critical Emden-Fowler type equations. Zbl 1295.49003
Nazarov, Alexander I.
2008
Logarithmic $$L_2$$-small ball asymptotics for some fractional Gaussian processes. Zbl 1107.60014
Nazarov, A. I.; Nikitin, Ya. Yu.
2005
Logarithmic asymptotics of small deviations for some Gaussian processes in the $$L_2$$-norm with respect to a self-similar measure. Zbl 1076.60030
Nazarov, A. I.
2004
Hölder estimates of solutions to initial-boundary value problems for parabolic equations of nondivergent form with Wentzel boundary condition. Zbl 0854.35056
Apushkinskaya, D. E.; Nazarov, A. I.
1995
Exact constants in Poincaré type inequalities for functions with zero mean boundary traces. Zbl 1348.46041
Nazarov, A. I.; Repin, S. I.
2015
Hardy–Sobolev inequalities in a cone. Zbl 1099.26018
Nazarov, A. I.
2005
Convex-monotone hulls and estimation of the maximum of a solution of a parabolic equation. Zbl 0596.35008
Nazarov, A. I.; Ural’tseva, N. N.
1985
On fractional Laplacians. II. Zbl 1358.47030
Musina, Roberta; Nazarov, Alexander I.
2016
Exact small ball asymptotics in weighted $$L_2$$-norm for some Gaussian processes. Zbl 1288.60045
Nazarov, A. I.; Pusev, R. S.
2009
Fractional Hardy-Sobolev inequalities on half spaces. Zbl 06992582
Musina, Roberta; Nazarov, Alexander I.
2019
A counterexample to the Hopf-Oleinik lemma (elliptic case). Zbl 1354.35024
Apushkinskaya, Darya E.; Nazarov, Alexander I.
2016
On the Sobolev and Hardy constants for the fractional Navier Laplacian. Zbl 1352.46035
Musina, Roberta; Nazarov, Alexander I.
2015
The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients in a wedge. Zbl 1295.35243
2014
On the quasilinear stationary Venttsel boundary value problem. Zbl 0937.35503
Apushkinskaya, D. E.; Nazarov, A. I.
1995
On fractional Laplacians. III. Zbl 1354.35179
Musina, Roberta; Nazarov, Alexander I.
2016
Small ball probabilities for smooth Gaussian fields and tensor products of compact operators. Zbl 1301.60044
Karol’, Andrei I.; Nazarov, Alexander I.
2014
On the existence of an extremal function in critical Sobolev trace embedding theorem. Zbl 1201.46033
Nazarov, A. I.; Reznikov, A. B.
2010
On solutions to the Dirichlet problem for an equation with $$p$$-Laplacian in a spherical layer. Zbl 1387.35249
Nazarov, A. I.
2005
On the sharp constant in the small ball asymptotics of some Gaussian processes under $$L_2$$-norm. Zbl 1046.60035
Nazarov, A. I.
2003
Linear two-phase Venttsel problems. Zbl 1024.35036
Apushkinskaya, Darya E.; Nazarov, Aleksandr Il.
2001
$$L_p$$-Estimates for solutions to the Dirichlet and Neumann problems for the heat equation in a wedge with edge of arbitrary codimension. Zbl 0983.35029
Nazarov, A. I.
2001
The Tamarkin equiconvergence theorem and a first-order trace formula for regular differential operators revisited. Zbl 1311.34169
Nazarov, Alexander I.; Stolyarov, Dmitry M.; Zatitskiy, Pavel B.
2014
Log-level comparison principle for small ball probabilities. Zbl 1166.60310
Nazarov, Alexander
2009
On the solvability of the Dirichlet problem for the semilinear Schrödinger equation with a singular potential. Zbl 1136.35088
Dem’yanov, A. V.; Nazarov, A. I.
2006
On the existence of extremal functions in Sobolev embedding theorems with critical exponents. Zbl 1113.49010
Dem’yanov, A. V.; Nazarov, A. I.
2006
On the nonstationary two-phase Venttsel problem in the transversal case. Zbl 1099.35044
Nazarov, A. I.
2004
Solving the Venttsel’ problem for the Laplace and Helmholtz equations with the help of iterated potentials. Zbl 1071.35513
Luk’yanov, V. V.; Nazarov, A. I.
1998
Hölder estimates for bounded solutions of oblique derivative problems for parabolic equations with nondivergent structure. Zbl 0781.35009
Nazarov, A. I.
1990
Strong maximum principles for fractional Laplacians. Zbl 1425.35220
Musina, Roberta; Nazarov, Alexander I.
2019
Variational inequalities for the spectral fractional Laplacian. Zbl 06736023
Musina, Roberta; Nazarov, A. I.
2017
Non-critical dimensions for critical problems involving fractional Laplacians. Zbl 06569056
Musina, Roberta; Nazarov, Alexander I.
2016
Degenerate self-similar measures, spectral asymptotics and small deviations of Gaussian processes. Zbl 1244.60040
Nazarov, A. I.; Sheipak, I. A.
2012
Multiplicity of solutions to the Dirichlet problem for generalized Hénon equation. Zbl 1202.35089
Kolonitskii, S. B.; Nazarov, A. I.
2007
On an exact constant in the generalized Poincaré inequality. Zbl 1050.26014
Nazarov, A. I.
2002
On a family of extremum problems and the properties of an integral. Zbl 0944.49019
Buslaev, A. P.; Kondrat’ev, V. A.; Nazarov, A. I.
1998
Hölder estimates for solutions to degenerate boundary Venttsel’s problems for parabolic and elliptic nondivergence equations. Zbl 0917.35014
Apushkinskaya, D. E.; Nazarov, A. I.
1997
Boundary estimates for the first-order derivatives of a solution to a nondivergent parabolic equation with composite right-hand side and coefficients of lower-order derivatives. Zbl 0860.35046
Apushkinskaya, D. E.; Nazarov, A. I.
1995
The initial-boundary value problem for nondivergent parabolic equations with Venttsel’ boundary condition. Zbl 0839.35061
Apushkinskaya, D. E.; Nazarov, A. I.
1994
Variational inequalities for the fractional Laplacian. Zbl 1368.35142
Musina, Roberta; Nazarov, Alexander I.; Sreenadh, Konijeti
2017
Stability by linear approximation for time scale dynamical systems. Zbl 1366.34119
Kryzhevich, Sergey; Nazarov, Alexander
2017
The small ball asymptotics in Hilbert norm for the Kac-Kiefer-Wolfowitz processes. Zbl 1347.60038
Nazarov, A. I.; Petrova, Y. P.
2016
Small deviations in $$L_2$$-norm for Gaussian dependent sequences. Zbl 1336.60075
Hong, Seok Young; Lifshits, Mikhail; Nazarov, Alexander
2016
On monotonicity of some functionals under rearrangements. Zbl 1345.49021
Bankevich, S. V.; Nazarov, A. I.
2015
On exact constants in some embedding theorems of high order. Zbl 1181.46027
Nazarov, A. I.; Petrova, A. N.
2008
The A. D. Aleksandrov maximum principle. Zbl 1157.35019
Nazarov, A. I.
2007
Dirichlet problem for quasilinear parabolic equations in domains with smooth closed edges. Zbl 1041.35023
Nazarov, A. I.
2001
Quasilinear two-phase Venttsel problems. Zbl 1031.35036
Apushkinskaya, D. E.; Nazarov, A. I.
2000
The one-dimensional character of an extremum point of the Friedrichs inequality in spherical and plane layers. Zbl 1002.46025
Nazarov, A. I.
2000
Estimates for the gradient of solutions to stationary degenerate Venttsel’ problems. Zbl 0944.35028
Apushkinskaya, D. E.; Nazarov, A. I.
1998
The oblique boundary-value problem for a quasilinear parabolic equation. Zbl 0836.35075
Nazarov, A. I.; Ural’tseva, N. N.
1992
Hölder estimates for bounded solutions of problems with an oblique derivative for parabolic equations of nondivergence structure. Zbl 0792.35019
Nazarov, A. I.
1990
Convex-monotone hulls and an estimate of the maximum of the solution of a parabolic equation. Zbl 0614.35006
Nazarov, A. I.; Ural’tseva, N. N.
1987
On two-dimensional nonlocal Venttsel’ problems in piecewise smooth domains. Zbl 1416.35098
Creo, Simone; Lancia, Maria Rosaria; Nazarov, Alexander; Vernole, Paola
2019
On the Hölder continuity of solutions of the Venttsel’ elliptic problem. Zbl 1341.35033
Nazarov, A. I.; Paletskikh, A. A.
2015
On the symmetry of extremal in several embedding theorems. Zbl 1329.05297
Mukoseeva, E. V.; Nazarov, A. I.
2015
Multiplicity of solutions to the quasilinear Neumann problem in the 3-dimensional case. Zbl 1328.35056
Enin, A. I.; Nazarov, A. I.
2015
Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients. Zbl 1338.35212
Kozlov, V.; Nazarov, A.
2014
Comparison theorems for the small ball probabilities of the Green Gaussian processes in weighted $$L_2$$-norms. Zbl 1301.60045
Nazarov, A. I.; Pusev, R. S.
2014
Best constant in a three-parameter Poincaré inequality. Zbl 1291.49026
Gerasimov, I. V.; Nazarov, A. I.
2011
Trace Hardy-Sobolev inequalities in cones. Zbl 1237.46018
Nazarov, A. I.
2011
What is the least expected number of real roots of a random polynomial? Zbl 1196.60097
Nazarov, A.; Zaporozhets, D.
2009
On Tabachnikov’s conjecture. Zbl 1152.53003
Nazarov, A. I.; Petrov, F. V.
2008
Weighted Sobolev-type embedding theorems for functions with symmetries. Zbl 1126.46022
Ivanov, S. V.; Nazarov, A. I.
2007
On some properties of an extremal in a variational problem generated by the Sobolev embedding theorem. Zbl 1060.46024
Nazarov, A. I.; Shcheglova, A. P.
2004
Tail behavior of anisotropic norms for Gaussian random fields. Zbl 1023.60047
Lifshits, Mikhail; Nazarov, Alexander; Nikitin, Yakov
2003
The Dirichlet problem in weight spaces. Zbl 1130.35046
Apushkinskaya, D. E.; Nazarov, A. I.
2002
Some extremal problems for Gaussian and empirical random fields. Zbl 1023.60031
Nazarov, A. I.; Nikitin, Ya. Yu.
2002
On the symmetry of extremals in the weight embedding theorem. Zbl 1049.49002
Nazarov, A. I.
2001
On exact constant in a one-dimensional embedding theorem. Zbl 0961.46020
Nazarov, A. I.
1999
Estimates on the boundary of a domain for the gradient of a solution of a nondivergent parabolic equation with “composite” right side and coefficients of lower derivatives. Zbl 0892.35028
Apushkinskaya, D. E.; Nazarov, A. I.
1995
The nonstationary Venttsel’ problem with quadratic growth with respect to the gradient. Zbl 0867.35048
Apushkinskaya, D. E.; Nazarov, A. I.
1995
Initial-boundary value problem with Venttsel’ boundary condition for nondivergent parabolic equations. Zbl 0831.35084
Apushkinskaya, D. E.; Nazarov, A. I.
1994
Oblique derivative problem for a quasilinear parabolic equation. Zbl 0827.35061
Nazarov, A. I.; Ural’tseva, N. N.
1992
Regularity results for nonlocal evolution Venttsel’ problems. Zbl 07329864
Creo, Simone; Lancia, Maria Rosaria; Nazarov, Alexander I.
2020
A tool for symmetry breaking and multiplicity in some nonlocal problems. Zbl 1453.35182
Musina, Roberta; Nazarov, Alexander I.
2020
On a family of ordinary differential equations integrable in elementary functions. Zbl 1457.34004
Nazarov, A. I.
2020
A generalization of the Hardy inequality. Zbl 1447.26029
Nazarov, A. I.; Ustinov, N. S.
2020
Elliptic Venttsel problems with $$VMO$$ coefficients. Zbl 1446.35241
Apushkinskaya, Darya E.; Nazarov, Alexander I.; Palagachev, Dian K.; Softova, Lubomira G.
2020
On the boundary point principle for divergence-type equations. Zbl 1433.35029
Apushkinskaya, Darya E.; Nazarov, Alexander I.
2019
On Brownian exit times from perturbed multi-strips. Zbl 1407.60112
Lifshits, M.; Nazarov, A.
2019
$$L_{2}$$-small deviations for weighted stationary processes. Zbl 1434.60115
Lifshits, Mikhail; Nazarov, Alexander
2018
Vladimir Ivanovich Smirnov (1887–1974). Zbl 1388.01010
Apushkinskaya, Darya; Nazarov, Alexander I.
2018
Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients in a wedge. Zbl 1333.35310
2016
On validity conditions for the Poincaré inequality. Zbl 1303.46026
Nazarov, A. I.; Poborchi, S. V.
2013
An extremal problem with applications to the problem of testing multivariate independence. Zbl 1241.62068
Nazarov, Alexander; Stepanova, Natalia
2012
A generalization of the Pólya-Szegő inequality for one-dimensional functionals. Zbl 1275.26033
Bankevich, S. V.; Nazarov, A. I.
2011
Attainability of infima in the critical Sobolev trace embedding theorem on manifolds. Zbl 1213.46031
Nazarov, Alexander; Reznikov, Alexander
2010
Hölder estimates for solutions of degenerate nondivergence elliptic and parabolic equations. Zbl 1200.35037
Nazarov, A. I.
2010
The degenerate Venttsel’ problem for elliptic equations. Zbl 1142.35429
Nazarov, A. I.
2004
Regularity results for nonlocal evolution Venttsel’ problems. Zbl 07329864
Creo, Simone; Lancia, Maria Rosaria; Nazarov, Alexander I.
2020
A tool for symmetry breaking and multiplicity in some nonlocal problems. Zbl 1453.35182
Musina, Roberta; Nazarov, Alexander I.
2020
On a family of ordinary differential equations integrable in elementary functions. Zbl 1457.34004
Nazarov, A. I.
2020
A generalization of the Hardy inequality. Zbl 1447.26029
Nazarov, A. I.; Ustinov, N. S.
2020
Elliptic Venttsel problems with $$VMO$$ coefficients. Zbl 1446.35241
Apushkinskaya, Darya E.; Nazarov, Alexander I.; Palagachev, Dian K.; Softova, Lubomira G.
2020
Fractional Hardy-Sobolev inequalities on half spaces. Zbl 06992582
Musina, Roberta; Nazarov, Alexander I.
2019
Strong maximum principles for fractional Laplacians. Zbl 1425.35220
Musina, Roberta; Nazarov, Alexander I.
2019
On two-dimensional nonlocal Venttsel’ problems in piecewise smooth domains. Zbl 1416.35098
Creo, Simone; Lancia, Maria Rosaria; Nazarov, Alexander; Vernole, Paola
2019
On the boundary point principle for divergence-type equations. Zbl 1433.35029
Apushkinskaya, Darya E.; Nazarov, Alexander I.
2019
On Brownian exit times from perturbed multi-strips. Zbl 1407.60112
Lifshits, M.; Nazarov, A.
2019
$$L_{2}$$-small deviations for weighted stationary processes. Zbl 1434.60115
Lifshits, Mikhail; Nazarov, Alexander
2018
Vladimir Ivanovich Smirnov (1887–1974). Zbl 1388.01010
Apushkinskaya, Darya; Nazarov, Alexander I.
2018
Variational inequalities for the spectral fractional Laplacian. Zbl 06736023
Musina, Roberta; Nazarov, A. I.
2017
Variational inequalities for the fractional Laplacian. Zbl 1368.35142
Musina, Roberta; Nazarov, Alexander I.; Sreenadh, Konijeti
2017
Stability by linear approximation for time scale dynamical systems. Zbl 1366.34119
Kryzhevich, Sergey; Nazarov, Alexander
2017
On fractional Laplacians. II. Zbl 1358.47030
Musina, Roberta; Nazarov, Alexander I.
2016
A counterexample to the Hopf-Oleinik lemma (elliptic case). Zbl 1354.35024
Apushkinskaya, Darya E.; Nazarov, Alexander I.
2016
On fractional Laplacians. III. Zbl 1354.35179
Musina, Roberta; Nazarov, Alexander I.
2016
Non-critical dimensions for critical problems involving fractional Laplacians. Zbl 06569056
Musina, Roberta; Nazarov, Alexander I.
2016
The small ball asymptotics in Hilbert norm for the Kac-Kiefer-Wolfowitz processes. Zbl 1347.60038
Nazarov, A. I.; Petrova, Y. P.
2016
Small deviations in $$L_2$$-norm for Gaussian dependent sequences. Zbl 1336.60075
Hong, Seok Young; Lifshits, Mikhail; Nazarov, Alexander
2016
Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients in a wedge. Zbl 1333.35310
2016
Sharp constants in the Poincaré, Steklov and related inequalities (a survey). Zbl 1321.26042
Kuznetsov, Nikolay; Nazarov, Alexander
2015
Exact constants in Poincaré type inequalities for functions with zero mean boundary traces. Zbl 1348.46041
Nazarov, A. I.; Repin, S. I.
2015
On the Sobolev and Hardy constants for the fractional Navier Laplacian. Zbl 1352.46035
Musina, Roberta; Nazarov, Alexander I.
2015
On monotonicity of some functionals under rearrangements. Zbl 1345.49021
Bankevich, S. V.; Nazarov, A. I.
2015
On the Hölder continuity of solutions of the Venttsel’ elliptic problem. Zbl 1341.35033
Nazarov, A. I.; Paletskikh, A. A.
2015
On the symmetry of extremal in several embedding theorems. Zbl 1329.05297
Mukoseeva, E. V.; Nazarov, A. I.
2015
Multiplicity of solutions to the quasilinear Neumann problem in the 3-dimensional case. Zbl 1328.35056
Enin, A. I.; Nazarov, A. I.
2015
On fractional Laplacians. Zbl 1304.47061
Musina, Roberta; Nazarov, Alexander I.
2014
The legacy of Vladimir Andreevich Steklov. Zbl 1322.01050
Kuznetsov, Nikolay; Kulczycki, Tadeusz; Kwaśnicki, Mateusz; Nazarov, Alexander; Poborchi, Sergey; Polterovich, Iosif; Siudeja, Bartłomiej
2014
The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients in a wedge. Zbl 1295.35243
2014
Small ball probabilities for smooth Gaussian fields and tensor products of compact operators. Zbl 1301.60044
Karol’, Andrei I.; Nazarov, Alexander I.
2014
The Tamarkin equiconvergence theorem and a first-order trace formula for regular differential operators revisited. Zbl 1311.34169
Nazarov, Alexander I.; Stolyarov, Dmitry M.; Zatitskiy, Pavel B.
2014
Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients. Zbl 1338.35212
Kozlov, V.; Nazarov, A.
2014
Comparison theorems for the small ball probabilities of the Green Gaussian processes in weighted $$L_2$$-norms. Zbl 1301.60045
Nazarov, A. I.; Pusev, R. S.
2014
On validity conditions for the Poincaré inequality. Zbl 1303.46026
Nazarov, A. I.; Poborchi, S. V.
2013
The Harnack inequality and related properties for solutions of elliptic and parabolic equations with divergence-free lower-order coefficients. Zbl 1235.35054
Nazarov, A. I.; Ural’tseva, N. N.
2012
A centennial of the Zaremba-Hopf-Oleinik lemma. Zbl 1243.35031
Nazarov, A. I.
2012
Degenerate self-similar measures, spectral asymptotics and small deviations of Gaussian processes. Zbl 1244.60040
Nazarov, A. I.; Sheipak, I. A.
2012
An extremal problem with applications to the problem of testing multivariate independence. Zbl 1241.62068
Nazarov, Alexander; Stepanova, Natalia
2012
Best constant in a three-parameter Poincaré inequality. Zbl 1291.49026
Gerasimov, I. V.; Nazarov, A. I.
2011
Trace Hardy-Sobolev inequalities in cones. Zbl 1237.46018
Nazarov, A. I.
2011
A generalization of the Pólya-Szegő inequality for one-dimensional functionals. Zbl 1275.26033
Bankevich, S. V.; Nazarov, A. I.
2011
On the existence of an extremal function in critical Sobolev trace embedding theorem. Zbl 1201.46033
Nazarov, A. I.; Reznikov, A. B.
2010
Attainability of infima in the critical Sobolev trace embedding theorem on manifolds. Zbl 1213.46031
Nazarov, Alexander; Reznikov, Alexander
2010
Hölder estimates for solutions of degenerate nondivergence elliptic and parabolic equations. Zbl 1200.35037
Nazarov, A. I.
2010
Exact $$L_{2}$$-small ball asymptotics of Gaussian processes and the spectrum of boundary-value problems. Zbl 1187.60025
Nazarov, Alexander I.
2009
The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients. Zbl 1179.35078
2009
On a set of transformations of Gaussian random functions. Zbl 1214.60011
Nazarov, A. I.
2009
Exact small ball asymptotics in weighted $$L_2$$-norm for some Gaussian processes. Zbl 1288.60045
Nazarov, A. I.; Pusev, R. S.
2009
Log-level comparison principle for small ball probabilities. Zbl 1166.60310
Nazarov, Alexander
2009
What is the least expected number of real roots of a random polynomial? Zbl 1196.60097
Nazarov, A.; Zaporozhets, D.
2009
Small ball probabilities for Gaussian random fields and tensor products of compact operators. Zbl 1136.60024
Karol’, Andrei; Nazarov, Alexander; Nikitin, Yakov
2008
Dirichlet and Neumann problems to critical Emden-Fowler type equations. Zbl 1295.49003
Nazarov, Alexander I.
2008
On exact constants in some embedding theorems of high order. Zbl 1181.46027
Nazarov, A. I.; Petrova, A. N.
2008
On Tabachnikov’s conjecture. Zbl 1152.53003
Nazarov, A. I.; Petrov, F. V.
2008
Multiplicity of solutions to the Dirichlet problem for generalized Hénon equation. Zbl 1202.35089
Kolonitskii, S. B.; Nazarov, A. I.
2007
The A. D. Aleksandrov maximum principle. Zbl 1157.35019
Nazarov, A. I.
2007
Weighted Sobolev-type embedding theorems for functions with symmetries. Zbl 1126.46022
Ivanov, S. V.; Nazarov, A. I.
2007
On the solvability of the Dirichlet problem for the semilinear Schrödinger equation with a singular potential. Zbl 1136.35088
Dem’yanov, A. V.; Nazarov, A. I.
2006
On the existence of extremal functions in Sobolev embedding theorems with critical exponents. Zbl 1113.49010
Dem’yanov, A. V.; Nazarov, A. I.
2006
Logarithmic $$L_2$$-small ball asymptotics for some fractional Gaussian processes. Zbl 1107.60014
Nazarov, A. I.; Nikitin, Ya. Yu.
2005
Hardy–Sobolev inequalities in a cone. Zbl 1099.26018
Nazarov, A. I.
2005
On solutions to the Dirichlet problem for an equation with $$p$$-Laplacian in a spherical layer. Zbl 1387.35249
Nazarov, A. I.
2005
Exact $$L_2$$-small ball behavior of integrated Gaussian processes and spectral asymptotics of boundary value problems. Zbl 1051.60041
Nazarov, A. I.; Nikitin, Ya. Yu.
2004
Logarithmic asymptotics of small deviations for some Gaussian processes in the $$L_2$$-norm with respect to a self-similar measure. Zbl 1076.60030
Nazarov, A. I.
2004
On the nonstationary two-phase Venttsel problem in the transversal case. Zbl 1099.35044
Nazarov, A. I.
2004
On some properties of an extremal in a variational problem generated by the Sobolev embedding theorem. Zbl 1060.46024
Nazarov, A. I.; Shcheglova, A. P.
2004
The degenerate Venttsel’ problem for elliptic equations. Zbl 1142.35429
Nazarov, A. I.
2004
On one property of concave functions and on an inequality for the Vandermonde determinants. Zbl 1055.30002
Nazarov, A. I.; Nazarov, F. L.
2004
On the sharp constant in the small ball asymptotics of some Gaussian processes under $$L_2$$-norm. Zbl 1046.60035
Nazarov, A. I.
2003
Tail behavior of anisotropic norms for Gaussian random fields. Zbl 1023.60047
Lifshits, Mikhail; Nazarov, Alexander; Nikitin, Yakov
2003
On an exact constant in the generalized Poincaré inequality. Zbl 1050.26014
Nazarov, A. I.
2002
The Dirichlet problem in weight spaces. Zbl 1130.35046
Apushkinskaya, D. E.; Nazarov, A. I.
2002
Some extremal problems for Gaussian and empirical random fields. Zbl 1023.60031
Nazarov, A. I.; Nikitin, Ya. Yu.
2002
Boundary estimates for solutions to Venttsel’s problem for parabolic and elliptic equations in a domain with boundary of class $$W^2_{q-1}$$. Zbl 1113.35325
Nazarov, A. I.
2002
Quasilinear elliptic two-phase Venttsel’s problems in the transversal case. Zbl 1113.35324
Apushkinskaya, D. E.; Nazarov, A. I.
2002
Estimates of the maximum for solutions of elliptic and parabolic equations in terms of weighted norms of the right-hand side. Zbl 0994.35032
Nazarov, A. I.
2002
Linear two-phase Venttsel problems. Zbl 1024.35036
Apushkinskaya, Darya E.; Nazarov, Aleksandr Il.
2001
$$L_p$$-Estimates for solutions to the Dirichlet and Neumann problems for the heat equation in a wedge with edge of arbitrary codimension. Zbl 0983.35029
Nazarov, A. I.
2001
Dirichlet problem for quasilinear parabolic equations in domains with smooth closed edges. Zbl 1041.35023
Nazarov, A. I.
2001
On the symmetry of extremals in the weight embedding theorem. Zbl 1049.49002
Nazarov, A. I.
2001
A survey of results on nonlinear Venttsel problems. Zbl 1058.35118
Apushkinskaya, D. E.; Nazarov, A. I.
2000
Quasilinear two-phase Venttsel problems. Zbl 1031.35036
Apushkinskaya, D. E.; Nazarov, A. I.
2000
The one-dimensional character of an extremum point of the Friedrichs inequality in spherical and plane layers. Zbl 1002.46025
Nazarov, A. I.
2000
The Dirichlet problem for quasilinear elliptic equations in domains with smooth closed edges. Zbl 0987.35043
Apushkinskaya, D. E.; Nazarov, A. I.
2000
On exact constant in a one-dimensional embedding theorem. Zbl 0961.46020
Nazarov, A. I.
1999
On the “one-dimensionality” of the extremal in the Poincaré inequality in a square. Zbl 0999.49004
Nazarov, A. I.
1999
Solving the Venttsel’ problem for the Laplace and Helmholtz equations with the help of iterated potentials. Zbl 1071.35513
Luk’yanov, V. V.; Nazarov, A. I.
1998
On a family of extremum problems and the properties of an integral. Zbl 0944.49019
Buslaev, A. P.; Kondrat’ev, V. A.; Nazarov, A. I.
1998
Estimates for the gradient of solutions to stationary degenerate Venttsel’ problems. Zbl 0944.35028
Apushkinskaya, D. E.; Nazarov, A. I.
1998
Hölder estimates for solutions to degenerate boundary Venttsel’s problems for parabolic and elliptic nondivergence equations. Zbl 0917.35014
Apushkinskaya, D. E.; Nazarov, A. I.
1997
Hölder estimates of solutions to initial-boundary value problems for parabolic equations of nondivergent form with Wentzel boundary condition. Zbl 0854.35056
Apushkinskaya, D. E.; Nazarov, A. I.
1995
On the quasilinear stationary Venttsel boundary value problem. Zbl 0937.35503
Apushkinskaya, D. E.; Nazarov, A. I.
1995
Boundary estimates for the first-order derivatives of a solution to a nondivergent parabolic equation with composite right-hand side and coefficients of lower-order derivatives. Zbl 0860.35046
Apushkinskaya, D. E.; Nazarov, A. I.
1995
Estimates on the boundary of a domain for the gradient of a solution of a nondivergent parabolic equation with “composite” right side and coefficients of lower derivatives. Zbl 0892.35028
Apushkinskaya, D. E.; Nazarov, A. I.
1995
The nonstationary Venttsel’ problem with quadratic growth with respect to the gradient. Zbl 0867.35048
Apushkinskaya, D. E.; Nazarov, A. I.
1995
The initial-boundary value problem for nondivergent parabolic equations with Venttsel’ boundary condition. Zbl 0839.35061
Apushkinskaya, D. E.; Nazarov, A. I.
1994
Initial-boundary value problem with Venttsel’ boundary condition for nondivergent parabolic equations. Zbl 0831.35084
Apushkinskaya, D. E.; Nazarov, A. I.
1994
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