Edit Profile (opens in new tab) Nazarov, Alexander I. Compute Distance To: Compute Author ID: nazarov.alexander-i Published as: Nazarov, A. I.; Nazarov, Alexander I.; Nazarov, Alexander; Nazarov, A.; Nazarov, Aleksandr Il. more...less External Links: Math-Net.Ru Documents Indexed: 151 Publications since 1985 2 Contributions as Editor Co-Authors: 76 Co-Authors with 108 Joint Publications 1,590 Co-Co-Authors all top 5 Co-Authors 34 single-authored 28 Apushkinskaya, Darya E. 15 Musina, Roberta 8 Nikitin, Yakov Yu. 6 Ural’tseva, Nina Nikolaevna 4 Lifshits, Mikhail A. 3 Bankevich, Sergey V. 3 Karol’, Andrei I. 2 Creo, Simone 2 Gal’kovskii, Egor D. 2 Ibragimov, Il’dar Abdullovich 2 Ivanov, Sergei Vladimirovich 2 Kuznetsov, Nikolai Germanovich 2 Lancia, Maria Rosaria 2 Lukyanov, Valery V. 2 Mukoseeva, E. 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 Vershik, Anatoliĭ Moiseevich 2 Zaporozhets, Dmitry 2 Zatitskii, Pavel B. 1 Arkhipova, Arina A. Arkhipova 1 Babenko, Mikhail 1 Bakharev, Fedor L’vovich 1 Burago, Dmitri 1 Burago, Yuriĭ Dmitrievich 1 Buslaev, Aleksandr Pavlovich 1 Cao, Dat T. 1 Cortés-Mendoza, Jorge M. 1 Daskalopoulos, Panagiota 1 Dumbaugh, Della 1 Eliashberg, Yakov Matveevich 1 Enin, A. I. 1 Gerasimov, Ivan V. 1 Gromov, Mikhael Leonidovich 1 Hong, Seokyoung 1 Ibraguimov, Akif 1 Kapitanski, Lev 1 Kislyakov, Sergeĭ Vital’evich 1 Kolonitskiĭ, Sergeĭ B. 1 Kondrat’ev, Vladimir Aleksandrovich 1 Kryzhevich, Sergeĭ Gennad’evich 1 Kulczycki, Tadeusz 1 Kutateladze, Semën Samsonovich 1 Kwaśnicki, Mateusz 1 Lerman, Lev 1 Lodkin, A. A. 1 Matiyasevich, Yuriĭ Vladimirovich 1 Minarsky, A. M. 1 Mnëv, Nikolai Evgen’evich 1 Naryshkin, P. E. 1 Nazarov, Fedor L. 1 Neterebskii, B. O. 1 Paletskikh, A. A. 1 Panina, Gaiane Yu. 1 Petrov, Fedor Vladimirovich 1 Petrova, A. N. 1 Petrova, Yu. P. 1 Poborchi, Sergey 1 Polterovich, Iosif 1 Pulido-Gaytan, B. 1 Rastegaev, N. V. 1 Repin, Sergeĭ Igorevich 1 Reshetikhin, Nikolai Yu. 1 Reshetnyak, Yuriĭ Grigor’evich 1 Reznikov, A. B. 1 Reznikov, Aleksandr 1 Ryzhik, V. A. 1 Sheipak, Igor A. 1 Siudeja, Bartłomiej Andrzej 1 Sreenadh, Konijeti 1 Stepanova, Natalia A. 1 Tchernykh, Andrei 1 Ustinov, N. S. 1 Vashchenko, I. N. 1 Verner, A. L. 1 Vernole, Paola Gioia 1 Zavorokhin, German L. all top 5 Serials 22 Journal of Mathematical Sciences (New York) 17 Problemy Matematicheskogo Analiza 12 St. Petersburg Mathematical Journal 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Theory of Probability and its Applications 4 Zapiski Nauchnykh Seminarov POMI 3 Journal of Soviet Mathematics 3 Mathematische Nachrichten 3 Statistics & Probability Letters 3 Vestnik St. Petersburg University. Mathematics 3 Russian Journal of Mathematical Physics 3 Doklady Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Russian Mathematical Surveys 2 Journal of Functional Analysis 2 Mathematika 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 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 Programming and Computer Software 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 Cybernetics and Systems Analysis 1 Electronic Communications in Probability 1 Bernoulli 1 Sbornik: Mathematics 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 Communications in Contemporary Mathematics 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 Bulletin of Mathematical Sciences 1 Mathematics 1 ICCM Notices all top 5 Fields 85 Partial differential equations (35-XX) 28 Probability theory and stochastic processes (60-XX) 23 Real functions (26-XX) 21 Functional analysis (46-XX) 20 Operator theory (47-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 10 Ordinary differential equations (34-XX) 9 History and biography (01-XX) 4 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-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) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 120 Publications have been cited 694 times in 440 Documents Cited by ▼ Year ▼ On fractional Laplacians. Zbl 1304.47061Musina, Roberta; Nazarov, Alexander I. 65 2014 Exact \(L_2\)-small ball behavior of integrated Gaussian processes and spectral asymptotics of boundary value problems. Zbl 1051.60041Nazarov, A. I.; Nikitin, Ya. Yu. 35 2004 The legacy of Vladimir Andreevich Steklov. Zbl 1322.01050Kuznetsov, Nikolay; Kulczycki, Tadeusz; Kwaśnicki, Mateusz; Nazarov, Alexander; Poborchi, Sergey; Polterovich, Iosif; Siudeja, Bartłomiej 33 2014 Small ball probabilities for Gaussian random fields and tensor products of compact operators. Zbl 1136.60024Karol’, Andrei; Nazarov, Alexander; Nikitin, Yakov 30 2008 The Harnack inequality and related properties for solutions of elliptic and parabolic equations with divergence-free lower-order coefficients. Zbl 1235.35054Nazarov, A. I.; Ural’tseva, N. N. 22 2012 A survey of results on nonlinear Venttsel problems. Zbl 1058.35118Apushkinskaya, D. E.; Nazarov, A. I. 19 2000 Exact \(L_{2}\)-small ball asymptotics of Gaussian processes and the spectrum of boundary-value problems. Zbl 1187.60025Nazarov, Alexander I. 18 2009 The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients. Zbl 1179.35078Kozlov, Vladimir; Nazarov, Alexander 14 2009 Sharp constants in the Poincaré, Steklov and related inequalities (a survey). Zbl 1321.26042Kuznetsov, Nikolay; Nazarov, Alexander 14 2015 On fractional Laplacians. II. Zbl 1358.47030Musina, Roberta; Nazarov, Alexander I. 13 2016 Exact constants in Poincaré type inequalities for functions with zero mean boundary traces. Zbl 1348.46041Nazarov, A. I.; Repin, S. I. 13 2015 Hardy–Sobolev inequalities in a cone. Zbl 1099.26018Nazarov, A. I. 12 2005 On a set of transformations of Gaussian random functions. Zbl 1214.60011Nazarov, A. I. 11 2009 Logarithmic asymptotics of small deviations for some Gaussian processes in the \(L_2\)-norm with respect to a self-similar measure. Zbl 1076.60030Nazarov, A. I. 11 2004 A centennial of the Zaremba-Hopf-Oleinik lemma. Zbl 1243.35031Nazarov, A. I. 11 2012 On the Sobolev and Hardy constants for the fractional Navier Laplacian. Zbl 1352.46035Musina, Roberta; Nazarov, Alexander I. 11 2015 Logarithmic \(L_2\)-small ball asymptotics for some fractional Gaussian processes. Zbl 1107.60014Nazarov, A. I.; Nikitin, Ya. Yu. 10 2005 Dirichlet and Neumann problems to critical Emden-Fowler type equations. Zbl 1295.49003Nazarov, Alexander I. 10 2008 Hölder estimates of solutions to initial-boundary value problems for parabolic equations of nondivergent form with Wentzel boundary condition. Zbl 0854.35056Apushkinskaya, D. E.; Nazarov, A. I. 10 1995 Convex-monotone hulls and estimation of the maximum of a solution of a parabolic equation. Zbl 0596.35008Nazarov, A. I.; Ural’tseva, N. N. 9 1985 The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients in a wedge. Zbl 1295.35243Kozlov, Vladimir; Nazarov, Alexander 9 2014 Fractional Hardy-Sobolev inequalities on half spaces. Zbl 06992582Musina, Roberta; Nazarov, Alexander I. 8 2019 A counterexample to the Hopf-Oleinik lemma (elliptic case). Zbl 1354.35024Apushkinskaya, Darya E.; Nazarov, Alexander I. 8 2016 On solutions to the Dirichlet problem for an equation with \(p\)-Laplacian in a spherical layer. Zbl 1387.35249Nazarov, A. I. 8 2005 Log-level comparison principle for small ball probabilities. Zbl 1166.60310Nazarov, Alexander 8 2009 Strong maximum principles for fractional Laplacians. Zbl 1425.35220Musina, Roberta; Nazarov, Alexander I. 8 2019 Exact small ball asymptotics in weighted \(L_2\)-norm for some Gaussian processes. Zbl 1288.60045Nazarov, A. I.; Pusev, R. S. 8 2009 On fractional Laplacians. III. Zbl 1354.35179Musina, Roberta; Nazarov, Alexander I. 7 2016 On the sharp constant in the small ball asymptotics of some Gaussian processes under \(L_2\)-norm. Zbl 1046.60035Nazarov, A. I. 7 2003 The Tamarkin equiconvergence theorem and a first-order trace formula for regular differential operators revisited. Zbl 1311.34169Nazarov, Alexander I.; Stolyarov, Dmitry M.; Zatitskiy, Pavel B. 7 2014 Small ball probabilities for smooth Gaussian fields and tensor products of compact operators. Zbl 1301.60044Karol’, Andrei I.; Nazarov, Alexander I. 7 2014 The A. D. Aleksandrov maximum principle. Zbl 1157.35019Nazarov, A. I. 6 2007 On the quasilinear stationary Venttsel boundary value problem. Zbl 0937.35503Apushkinskaya, D. E.; Nazarov, A. I. 6 1995 Hölder estimates for bounded solutions of oblique derivative problems for parabolic equations with nondivergent structure. Zbl 0781.35009Nazarov, A. I. 6 1990 Solving the Venttsel’ problem for the Laplace and Helmholtz equations with the help of iterated potentials. Zbl 1071.35513Luk’yanov, V. V.; Nazarov, A. I. 6 1998 Linear two-phase Venttsel problems. Zbl 1024.35036Apushkinskaya, Darya E.; Nazarov, Aleksandr Il. 6 2001 On the existence of an extremal function in critical Sobolev trace embedding theorem. Zbl 1201.46033Nazarov, A. I.; Reznikov, A. B. 6 2010 Variational inequalities for the fractional Laplacian. Zbl 1368.35142Musina, Roberta; Nazarov, Alexander I.; Sreenadh, Konijeti 6 2017 \(L_p\)-Estimates for solutions to the Dirichlet and Neumann problems for the heat equation in a wedge with edge of arbitrary codimension. Zbl 0983.35029Nazarov, A. I. 5 2001 On exact constants in some embedding theorems of high order. Zbl 1181.46027Nazarov, A. I.; Petrova, A. N. 5 2008 On the symmetry of extremal in several embedding theorems. Zbl 1329.05297Mukoseeva, E. V.; Nazarov, A. I. 5 2015 On the nonstationary two-phase Venttsel problem in the transversal case. Zbl 1099.35044Nazarov, A. I. 5 2004 On the solvability of the Dirichlet problem for the semilinear Schrödinger equation with a singular potential. Zbl 1136.35088Dem’yanov, A. V.; Nazarov, A. I. 5 2006 Multiplicity of solutions to the Dirichlet problem for generalized Hénon equation. Zbl 1202.35089Kolonitskii, S. B.; Nazarov, A. I. 5 2007 Variational inequalities for the spectral fractional Laplacian. Zbl 06736023Musina, Roberta; Nazarov, A. I. 5 2017 Convex-monotone hulls and an estimate of the maximum of the solution of a parabolic equation. Zbl 0614.35006Nazarov, A. I.; Ural’tseva, N. N. 4 1987 The one-dimensional character of an extremum point of the Friedrichs inequality in spherical and plane layers. Zbl 1002.46025Nazarov, A. I. 4 2000 On a family of extremum problems and the properties of an integral. Zbl 0944.49019Buslaev, A. P.; Kondrat’ev, V. A.; Nazarov, A. I. 4 1998 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 0860.35046Apushkinskaya, D. E.; Nazarov, A. I. 4 1995 The small ball asymptotics in Hilbert norm for the Kac-Kiefer-Wolfowitz processes. Zbl 1347.60038Nazarov, A. I.; Petrova, Y. P. 4 2016 Non-critical dimensions for critical problems involving fractional Laplacians. Zbl 1479.35924Musina, Roberta; Nazarov, Alexander I. 4 2016 The initial-boundary value problem for nondivergent parabolic equations with Venttsel’ boundary condition. Zbl 0839.35061Apushkinskaya, D. E.; Nazarov, A. I. 4 1994 Degenerate self-similar measures, spectral asymptotics and small deviations of Gaussian processes. Zbl 1244.60040Nazarov, A. I.; Sheipak, I. A. 4 2012 On the existence of extremal functions in Sobolev embedding theorems with critical exponents. Zbl 1113.49010Dem’yanov, A. V.; Nazarov, A. I. 4 2006 Hölder estimates for solutions to degenerate boundary Venttsel’s problems for parabolic and elliptic nondivergence equations. Zbl 0917.35014Apushkinskaya, D. E.; Nazarov, A. I. 4 1997 Sobolev inequalities for fractional Neumann Laplacians on half spaces. Zbl 1459.35100Musina, Roberta; Nazarov, Alexander I. 4 2021 A note on truncations in fractional Sobolev spaces. Zbl 1479.46042Musina, Roberta; Nazarov, Alexander I. 4 2019 A tool for symmetry breaking and multiplicity in some nonlocal problems. Zbl 1453.35182Musina, Roberta; Nazarov, Alexander I. 4 2020 Estimates for the gradient of solutions to stationary degenerate Venttsel’ problems. Zbl 0944.35028Apushkinskaya, D. E.; Nazarov, A. I. 3 1998 Best constant in a three-parameter Poincaré inequality. Zbl 1291.49026Gerasimov, I. V.; Nazarov, A. I. 3 2011 Stability by linear approximation for time scale dynamical systems. Zbl 1366.34119Kryzhevich, Sergey; Nazarov, Alexander 3 2017 Oblique derivative problem for a quasilinear parabolic equation. Zbl 0827.35061Nazarov, A. I.; Ural’tseva, N. N. 3 1992 Quasilinear two-phase Venttsel problems. Zbl 1031.35036Apushkinskaya, D. E.; Nazarov, A. I. 3 2000 Dirichlet problem for quasilinear parabolic equations in domains with smooth closed edges. Zbl 1041.35023Nazarov, A. I. 3 2001 On an exact constant in the generalized Poincaré inequality. Zbl 1050.26014Nazarov, A. I. 3 2002 Trace Hardy-Sobolev inequalities in cones. Zbl 1237.46018Nazarov, A. I. 3 2011 On small deviation asymptotics in \(L_2\) of some mixed Gaussian processes. Zbl 1391.60070Nazarov, Alexander I.; Nikitin, Yakov Yu. 3 2018 Small deviations in \(L_2\)-norm for Gaussian dependent sequences. Zbl 1336.60075Hong, Seok Young; Lifshits, Mikhail; Nazarov, Alexander 3 2016 On two-dimensional nonlocal Venttsel’ problems in piecewise smooth domains. Zbl 1416.35098Creo, Simone; Lancia, Maria Rosaria; Nazarov, Alexander; Vernole, Paola 3 2019 On monotonicity of some functionals under rearrangements. Zbl 1345.49021Bankevich, S. V.; Nazarov, A. I. 3 2015 Hölder estimates for bounded solutions of problems with an oblique derivative for parabolic equations of nondivergence structure. Zbl 0792.35019Nazarov, A. I. 2 1990 Some extremal problems for Gaussian and empirical random fields. Zbl 1023.60031Nazarov, A. I.; Nikitin, Ya. Yu. 2 2002 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 0892.35028Apushkinskaya, D. E.; Nazarov, A. I. 2 1995 Comparison theorems for the small ball probabilities of the Green Gaussian processes in weighted \(L_2\)-norms. Zbl 1301.60045Nazarov, A. I.; Pusev, R. S. 2 2014 On the Hölder continuity of solutions of the Venttsel’ elliptic problem. Zbl 1341.35033Nazarov, A. I.; Paletskikh, A. A. 2 2015 Initial-boundary value problem with Venttsel’ boundary condition for nondivergent parabolic equations. Zbl 0831.35084Apushkinskaya, D. E.; Nazarov, A. I. 2 1994 On exact constant in a one-dimensional embedding theorem. Zbl 0961.46020Nazarov, A. I. 2 1999 On the “one-dimensionality” of the extremal in the Poincaré inequality in a square. Zbl 0999.49004Nazarov, A. I. 2 1999 The oblique boundary-value problem for a quasilinear parabolic equation. Zbl 0836.35075Nazarov, A. I.; Ural’tseva, N. N. 2 1992 Tail behavior of anisotropic norms for Gaussian random fields. Zbl 1023.60047Lifshits, Mikhail; Nazarov, Alexander; Nikitin, Yakov 2 2003 The nonstationary Venttsel’ problem with quadratic growth with respect to the gradient. Zbl 0867.35048Apushkinskaya, D. E.; Nazarov, A. I. 2 1995 On the symmetry of extremals in the weight embedding theorem. Zbl 1049.49002Nazarov, A. I. 2 2001 On some properties of an extremal in a variational problem generated by the Sobolev embedding theorem. Zbl 1060.46024Nazarov, A. I.; Shcheglova, A. P. 2 2004 Weighted Sobolev-type embedding theorems for functions with symmetries. Zbl 1126.46022Ivanov, S. V.; Nazarov, A. I. 2 2007 What is the least expected number of real roots of a random polynomial? Zbl 1196.60097Nazarov, A.; Zaporozhets, D. 2 2009 On Tabachnikov’s conjecture. Zbl 1152.53003Nazarov, A. I.; Petrov, F. V. 2 2008 The Dirichlet problem in weight spaces. Zbl 1130.35046Apushkinskaya, D. E.; Nazarov, A. I. 2 2002 A comparison theorem for nonsmooth nonlinear operators. Zbl 1471.35159Kozlov, Vladimir; Nazarov, Alexander 2 2021 Regularity results for nonlocal evolution Venttsel’ problems. Zbl 1474.35358Creo, Simone; Lancia, Maria Rosaria; Nazarov, Alexander I. 2 2020 Multiplicity of solutions to the quasilinear Neumann problem in the 3-dimensional case. Zbl 1328.35056Enin, A. I.; Nazarov, A. I. 2 2015 Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients. Zbl 1338.35212Kozlov, V.; Nazarov, A. 2 2014 Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications. Zbl 1470.35406Musina, Roberta; Nazarov, Alexander I. 2 2021 On the boundary point principle for divergence-type equations. Zbl 1433.35029Apushkinskaya, Darya E.; Nazarov, Alexander I. 2 2019 A generalization of the Pólya-Szegő inequality for one-dimensional functionals. Zbl 1275.26033Bankevich, S. V.; Nazarov, A. I. 1 2011 On the maximum principle for parabolic equations with unbounded coefficients. Zbl 0778.47035Nazarov, A. I. 1 1988 The Dirichlet problem for quasilinear elliptic equations in domains with smooth closed edges. Zbl 0987.35043Apushkinskaya, D. E.; Nazarov, A. I. 1 2000 Estimates of the maximum for solutions of elliptic and parabolic equations in terms of weighted norms of the right-hand side. Zbl 0994.35032Nazarov, A. I. 1 2002 \(L_{2}\)-small deviations for weighted stationary processes. Zbl 1434.60115Lifshits, Mikhail; Nazarov, Alexander 1 2018 Hölder estimates for solutions of degenerate nondivergence elliptic and parabolic equations. Zbl 1200.35037Nazarov, A. I. 1 2010 Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients in a wedge. Zbl 1333.35310Kozlov, Vladimir; Nazarov, Alexander 1 2016 Sobolev inequalities for fractional Neumann Laplacians on half spaces. Zbl 1459.35100Musina, Roberta; Nazarov, Alexander I. 4 2021 A comparison theorem for nonsmooth nonlinear operators. Zbl 1471.35159Kozlov, Vladimir; Nazarov, Alexander 2 2021 Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications. Zbl 1470.35406Musina, Roberta; Nazarov, Alexander I. 2 2021 A note on higher order fractional Hardy-Sobolev inequalities. Zbl 1458.35010Musina, Roberta; Nazarov, Alexander I. 1 2021 Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes. Zbl 1469.45008Nazarov, Alexander I. 1 2021 Venttsel boundary value problems with discontinuous data. Zbl 1458.35182Apushkinskaya, Darya E.; Nazarov, Alexander I.; Palagachev, Dian K.; Softova, Lubomira G. 1 2021 A tool for symmetry breaking and multiplicity in some nonlocal problems. Zbl 1453.35182Musina, Roberta; Nazarov, Alexander I. 4 2020 Regularity results for nonlocal evolution Venttsel’ problems. Zbl 1474.35358Creo, Simone; Lancia, Maria Rosaria; Nazarov, Alexander I. 2 2020 Elliptic Venttsel problems with \(VMO\) coefficients. Zbl 1446.35241Apushkinskaya, Darya E.; Nazarov, Alexander I.; Palagachev, Dian K.; Softova, Lubomira G. 1 2020 Some lemmata on the perturbation of the spectrum. Zbl 07245842Nazarov, A. I. 1 2020 A generalization of the Hardy inequality. Zbl 1447.26029Nazarov, A. I.; Ustinov, N. S. 1 2020 A weighted estimate for generalized harmonic extensions. Zbl 1443.35007Musina, Roberta; Nazarov, Alexander I. 1 2020 On a family of ordinary differential equations integrable in elementary functions. Zbl 1457.34004Nazarov, A. I. 1 2020 Fractional Hardy-Sobolev inequalities on half spaces. Zbl 06992582Musina, Roberta; Nazarov, Alexander I. 8 2019 Strong maximum principles for fractional Laplacians. Zbl 1425.35220Musina, Roberta; Nazarov, Alexander I. 8 2019 A note on truncations in fractional Sobolev spaces. Zbl 1479.46042Musina, Roberta; Nazarov, Alexander I. 4 2019 On two-dimensional nonlocal Venttsel’ problems in piecewise smooth domains. Zbl 1416.35098Creo, Simone; Lancia, Maria Rosaria; Nazarov, Alexander; Vernole, Paola 3 2019 On the boundary point principle for divergence-type equations. Zbl 1433.35029Apushkinskaya, Darya E.; Nazarov, Alexander I. 2 2019 A general trace formula for a differential operator on a segment with zero order coefficient perturbed by a finite signed measure. Zbl 1455.34088Gal’kovskiĭ, E. D.; Nazarov, A. I. 1 2019 On Brownian exit times from perturbed multi-strips. Zbl 1407.60112Lifshits, M.; Nazarov, A. 1 2019 On small deviation asymptotics in \(L_2\) of some mixed Gaussian processes. Zbl 1391.60070Nazarov, Alexander I.; Nikitin, Yakov Yu. 3 2018 \(L_{2}\)-small deviations for weighted stationary processes. Zbl 1434.60115Lifshits, Mikhail; Nazarov, Alexander 1 2018 Vladimir Ivanovich Smirnov (1887–1974). Zbl 1388.01010Apushkinskaya, Darya; Nazarov, Alexander I. 1 2018 Variational inequalities for the fractional Laplacian. Zbl 1368.35142Musina, Roberta; Nazarov, Alexander I.; Sreenadh, Konijeti 6 2017 Variational inequalities for the spectral fractional Laplacian. Zbl 06736023Musina, Roberta; Nazarov, A. I. 5 2017 Stability by linear approximation for time scale dynamical systems. Zbl 1366.34119Kryzhevich, Sergey; Nazarov, Alexander 3 2017 The multiplicity of positive solutions to a quasilinear equation generated by the Il’in-Caffarelli-Cohn-Nirenberg inequality. Zbl 1378.35136Nazarov, A. I.; Neterebskii, B. O. 1 2017 On fractional Laplacians. II. Zbl 1358.47030Musina, Roberta; Nazarov, Alexander I. 13 2016 A counterexample to the Hopf-Oleinik lemma (elliptic case). Zbl 1354.35024Apushkinskaya, Darya E.; Nazarov, Alexander I. 8 2016 On fractional Laplacians. III. Zbl 1354.35179Musina, Roberta; Nazarov, Alexander I. 7 2016 The small ball asymptotics in Hilbert norm for the Kac-Kiefer-Wolfowitz processes. Zbl 1347.60038Nazarov, A. I.; Petrova, Y. P. 4 2016 Non-critical dimensions for critical problems involving fractional Laplacians. Zbl 1479.35924Musina, Roberta; Nazarov, Alexander I. 4 2016 Small deviations in \(L_2\)-norm for Gaussian dependent sequences. Zbl 1336.60075Hong, Seok Young; Lifshits, Mikhail; Nazarov, Alexander 3 2016 Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients in a wedge. Zbl 1333.35310Kozlov, Vladimir; Nazarov, Alexander 1 2016 Sharp constants in the Poincaré, Steklov and related inequalities (a survey). Zbl 1321.26042Kuznetsov, Nikolay; Nazarov, Alexander 14 2015 Exact constants in Poincaré type inequalities for functions with zero mean boundary traces. Zbl 1348.46041Nazarov, A. I.; Repin, S. I. 13 2015 On the Sobolev and Hardy constants for the fractional Navier Laplacian. Zbl 1352.46035Musina, Roberta; Nazarov, Alexander I. 11 2015 On the symmetry of extremal in several embedding theorems. Zbl 1329.05297Mukoseeva, E. V.; Nazarov, A. I. 5 2015 On monotonicity of some functionals under rearrangements. Zbl 1345.49021Bankevich, S. V.; Nazarov, A. I. 3 2015 On the Hölder continuity of solutions of the Venttsel’ elliptic problem. Zbl 1341.35033Nazarov, A. I.; Paletskikh, A. A. 2 2015 Multiplicity of solutions to the quasilinear Neumann problem in the 3-dimensional case. Zbl 1328.35056Enin, A. I.; Nazarov, A. I. 2 2015 On fractional Laplacians. Zbl 1304.47061Musina, Roberta; Nazarov, Alexander I. 65 2014 The legacy of Vladimir Andreevich Steklov. Zbl 1322.01050Kuznetsov, Nikolay; Kulczycki, Tadeusz; Kwaśnicki, Mateusz; Nazarov, Alexander; Poborchi, Sergey; Polterovich, Iosif; Siudeja, Bartłomiej 33 2014 The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients in a wedge. Zbl 1295.35243Kozlov, Vladimir; Nazarov, Alexander 9 2014 The Tamarkin equiconvergence theorem and a first-order trace formula for regular differential operators revisited. Zbl 1311.34169Nazarov, Alexander I.; Stolyarov, Dmitry M.; Zatitskiy, Pavel B. 7 2014 Small ball probabilities for smooth Gaussian fields and tensor products of compact operators. Zbl 1301.60044Karol’, Andrei I.; Nazarov, Alexander I. 7 2014 Comparison theorems for the small ball probabilities of the Green Gaussian processes in weighted \(L_2\)-norms. Zbl 1301.60045Nazarov, A. I.; Pusev, R. S. 2 2014 Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients. Zbl 1338.35212Kozlov, V.; Nazarov, A. 2 2014 On validity conditions for the Poincaré inequality. Zbl 1303.46026Nazarov, A. I.; Poborchi, S. V. 1 2013 The Harnack inequality and related properties for solutions of elliptic and parabolic equations with divergence-free lower-order coefficients. Zbl 1235.35054Nazarov, A. I.; Ural’tseva, N. N. 22 2012 A centennial of the Zaremba-Hopf-Oleinik lemma. Zbl 1243.35031Nazarov, A. I. 11 2012 Degenerate self-similar measures, spectral asymptotics and small deviations of Gaussian processes. Zbl 1244.60040Nazarov, A. I.; Sheipak, I. A. 4 2012 An extremal problem with applications to the problem of testing multivariate independence. Zbl 1241.62068Nazarov, Alexander; Stepanova, Natalia 1 2012 Best constant in a three-parameter Poincaré inequality. Zbl 1291.49026Gerasimov, I. V.; Nazarov, A. I. 3 2011 Trace Hardy-Sobolev inequalities in cones. Zbl 1237.46018Nazarov, A. I. 3 2011 A generalization of the Pólya-Szegő inequality for one-dimensional functionals. Zbl 1275.26033Bankevich, S. V.; Nazarov, A. I. 1 2011 On the existence of an extremal function in critical Sobolev trace embedding theorem. Zbl 1201.46033Nazarov, A. I.; Reznikov, A. B. 6 2010 Hölder estimates for solutions of degenerate nondivergence elliptic and parabolic equations. Zbl 1200.35037Nazarov, A. I. 1 2010 Attainability of infima in the critical Sobolev trace embedding theorem on manifolds. Zbl 1213.46031Nazarov, Alexander; Reznikov, Alexander 1 2010 Exact \(L_{2}\)-small ball asymptotics of Gaussian processes and the spectrum of boundary-value problems. Zbl 1187.60025Nazarov, Alexander I. 18 2009 The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients. Zbl 1179.35078Kozlov, Vladimir; Nazarov, Alexander 14 2009 On a set of transformations of Gaussian random functions. Zbl 1214.60011Nazarov, A. I. 11 2009 Log-level comparison principle for small ball probabilities. Zbl 1166.60310Nazarov, Alexander 8 2009 Exact small ball asymptotics in weighted \(L_2\)-norm for some Gaussian processes. Zbl 1288.60045Nazarov, A. I.; Pusev, R. S. 8 2009 What is the least expected number of real roots of a random polynomial? Zbl 1196.60097Nazarov, A.; Zaporozhets, D. 2 2009 Small ball probabilities for Gaussian random fields and tensor products of compact operators. Zbl 1136.60024Karol’, Andrei; Nazarov, Alexander; Nikitin, Yakov 30 2008 Dirichlet and Neumann problems to critical Emden-Fowler type equations. Zbl 1295.49003Nazarov, Alexander I. 10 2008 On exact constants in some embedding theorems of high order. Zbl 1181.46027Nazarov, A. I.; Petrova, A. N. 5 2008 On Tabachnikov’s conjecture. Zbl 1152.53003Nazarov, A. I.; Petrov, F. V. 2 2008 The A. D. Aleksandrov maximum principle. Zbl 1157.35019Nazarov, A. I. 6 2007 Multiplicity of solutions to the Dirichlet problem for generalized Hénon equation. Zbl 1202.35089Kolonitskii, S. B.; Nazarov, A. I. 5 2007 Weighted Sobolev-type embedding theorems for functions with symmetries. Zbl 1126.46022Ivanov, S. V.; Nazarov, A. I. 2 2007 On the solvability of the Dirichlet problem for the semilinear Schrödinger equation with a singular potential. Zbl 1136.35088Dem’yanov, A. V.; Nazarov, A. I. 5 2006 On the existence of extremal functions in Sobolev embedding theorems with critical exponents. Zbl 1113.49010Dem’yanov, A. V.; Nazarov, A. I. 4 2006 Hardy–Sobolev inequalities in a cone. Zbl 1099.26018Nazarov, A. I. 12 2005 Logarithmic \(L_2\)-small ball asymptotics for some fractional Gaussian processes. Zbl 1107.60014Nazarov, A. I.; Nikitin, Ya. Yu. 10 2005 On solutions to the Dirichlet problem for an equation with \(p\)-Laplacian in a spherical layer. Zbl 1387.35249Nazarov, A. I. 8 2005 Exact \(L_2\)-small ball behavior of integrated Gaussian processes and spectral asymptotics of boundary value problems. Zbl 1051.60041Nazarov, A. I.; Nikitin, Ya. Yu. 35 2004 Logarithmic asymptotics of small deviations for some Gaussian processes in the \(L_2\)-norm with respect to a self-similar measure. Zbl 1076.60030Nazarov, A. I. 11 2004 On the nonstationary two-phase Venttsel problem in the transversal case. Zbl 1099.35044Nazarov, A. I. 5 2004 On some properties of an extremal in a variational problem generated by the Sobolev embedding theorem. Zbl 1060.46024Nazarov, A. I.; Shcheglova, A. P. 2 2004 On one property of concave functions and on an inequality for the Vandermonde determinants. Zbl 1055.30002Nazarov, A. I.; Nazarov, F. L. 1 2004 The degenerate Venttsel’ problem for elliptic equations. Zbl 1142.35429Nazarov, A. I. 1 2004 On the sharp constant in the small ball asymptotics of some Gaussian processes under \(L_2\)-norm. Zbl 1046.60035Nazarov, A. I. 7 2003 Tail behavior of anisotropic norms for Gaussian random fields. Zbl 1023.60047Lifshits, Mikhail; Nazarov, Alexander; Nikitin, Yakov 2 2003 On an exact constant in the generalized Poincaré inequality. Zbl 1050.26014Nazarov, A. I. 3 2002 Some extremal problems for Gaussian and empirical random fields. Zbl 1023.60031Nazarov, A. I.; Nikitin, Ya. Yu. 2 2002 The Dirichlet problem in weight spaces. Zbl 1130.35046Apushkinskaya, D. E.; Nazarov, A. I. 2 2002 Estimates of the maximum for solutions of elliptic and parabolic equations in terms of weighted norms of the right-hand side. Zbl 0994.35032Nazarov, A. I. 1 2002 Quasilinear elliptic two-phase Venttsel’s problems in the transversal case. Zbl 1113.35324Apushkinskaya, D. E.; Nazarov, A. I. 1 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 1113.35325Nazarov, A. I. 1 2002 Linear two-phase Venttsel problems. Zbl 1024.35036Apushkinskaya, Darya E.; Nazarov, Aleksandr Il. 6 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 0983.35029Nazarov, A. I. 5 2001 Dirichlet problem for quasilinear parabolic equations in domains with smooth closed edges. Zbl 1041.35023Nazarov, A. I. 3 2001 On the symmetry of extremals in the weight embedding theorem. Zbl 1049.49002Nazarov, A. I. 2 2001 A survey of results on nonlinear Venttsel problems. Zbl 1058.35118Apushkinskaya, D. E.; Nazarov, A. I. 19 2000 The one-dimensional character of an extremum point of the Friedrichs inequality in spherical and plane layers. Zbl 1002.46025Nazarov, A. I. 4 2000 Quasilinear two-phase Venttsel problems. Zbl 1031.35036Apushkinskaya, D. E.; Nazarov, A. I. 3 2000 The Dirichlet problem for quasilinear elliptic equations in domains with smooth closed edges. Zbl 0987.35043Apushkinskaya, D. E.; Nazarov, A. I. 1 2000 On exact constant in a one-dimensional embedding theorem. Zbl 0961.46020Nazarov, A. I. 2 1999 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 575 Authors 66 Nazarov, Alexander I. 13 Musina, Roberta 8 Apushkinskaya, Darya E. 8 Nikitin, Yakov Yu. 7 Krylov, Nicolaĭ Vladimirovich 7 Sheipak, Igor A. 6 Arkhipova, Arina A. Arkhipova 6 Khartov, Alekseĭ Andreevich 6 Repin, Sergeĭ Igorevich 6 Rossmann, Jürgen 5 Garmanova, T. A. 5 Kozlov, Vladimir A. 5 Li, Wenbo V. 5 Lifshits, Mikhail A. 5 Vazquez, Juan Luis 5 Yu, Chengjie 4 Ai, Xiaohui 4 Creo, Simone 4 Dong, Hongjie 4 Fall, Mouhamed Moustapha 4 Galakhov, Evgeniĭ Igorevich 4 Girouard, Alexandre 4 Kim, KyeongHun 4 Lancia, Maria Rosaria 4 Molica Bisci, Giovanni 4 Petrova, Yu. P. 4 Pusev, R. S. 4 Sadovnichaya, Inna Viktorovna 4 Seregin, Gregory A. 4 Shi, Yongjie 4 Ustinov, N. S. 3 Abatangelo, Nicola 3 Abdelhedi, Wael 3 Ambrosio, Vincenzo 3 Bankevich, Sergey V. 3 Bobkov, Vladimir E. 3 Fatalov, Vadim Rolandovich 3 Gal’kovskii, Egor D. 3 Gao, Fuchang 3 Grubb, Gerd 3 Karol’, Andrei I. 3 Kim, Doyoon 3 Kleptsyna, Marina L. 3 Kolonitskiĭ, Sergeĭ B. 3 Laptev, Ari 3 Leckband, Mark 3 Lee, Kijung 3 Lieberman, Gary M. 3 Nazarov, Sergeĭ Aleksandrovich 3 Rozovskiĭ, Leonid Viktorovich 3 Safonov, Mikhail V. 3 Saldaña, Alberto 3 Savchuk, Artem M. 3 Shcheglova, A. P. 3 Siudeja, Bartłomiej Andrzej 3 Softova, Lubomira G. 3 Surnachëv, Mikhaĭl Dmitrievich 3 Ural’tseva, Nina Nikolaevna 3 Vladimirov, Anton A. 3 Weth, Tobias 3 Zaporozhets, Dmitry 2 Alkhutov, Yuriy Alexandrovich 2 Barczy, Mátyás 2 Borthagaray, Juan Pablo 2 Bouzebda, Salim 2 Burkovska, Olena 2 Chen, Huyuan 2 Chigansky, Pavel 2 Cho, Sungwon 2 Choi, Woocheol 2 Chtioui, Hichem 2 Colbois, Bruno 2 Colorado, Eduardo 2 Cora, Gabriele 2 Croce, Gisella 2 Edward, Julian 2 Filimonenkova, Nadezhda Viktorovna 2 Gol’dshtein, Vladimir Mikhailovich 2 Gómez, Delfina 2 Hajaiej, Hichem 2 Hassannezhad, Asma 2 Henrot, Antoine 2 Hua, Bobo 2 Huang, Yongpan 2 Hudson, Steve M. 2 Ibragimov, Il’dar Abdullovich 2 Ivochkina, Nina Mikhaĭlovna 2 Jarohs, Sven 2 Kao, Chiu-Yen 2 Kim, Seunghyeok 2 Kühn, Thomas 2 Kuo, Hung-Ju 2 Kwaśnicki, Mateusz 2 Laamri, El Haj 2 Laugesen, Richard Snyder 2 Lukina, A. A. 2 Luo, Yousong 2 Marushkevych, Dmytro 2 Méhats, Florian 2 Mhamdi, Zeinab ...and 475 more Authors all top 5 Cited in 157 Serials 40 Journal of Mathematical Sciences (New York) 22 Journal of Differential Equations 17 Journal of Mathematical Analysis and Applications 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 St. Petersburg Mathematical Journal 10 Journal of Functional Analysis 10 Calculus of Variations and Partial Differential Equations 8 Functional Analysis and its Applications 8 Journal of Complexity 7 Journal of Theoretical Probability 7 Doklady Mathematics 7 Complex Variables and Elliptic Equations 6 Mathematical Notes 6 Statistics & Probability Letters 6 Vestnik St. Petersburg University. 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RACSAM 2 Analysis and Mathematical Physics 1 Applicable Analysis 1 Inverse Problems 1 Israel Journal of Mathematics 1 Journal of Engineering Mathematics 1 Moscow University Mathematics Bulletin 1 Physica A 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 The Mathematical Intelligencer 1 Acta Mathematica Vietnamica 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Computational and Applied Mathematics 1 Journal of Econometrics 1 Journal of Soviet Mathematics 1 Numerische Mathematik 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Numerical Analysis 1 Transactions of the Moscow Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 ACM Transactions on Graphics 1 Revista Matemática Iberoamericana ...and 57 more Serials all top 5 Cited in 42 Fields 294 Partial differential equations (35-XX) 83 Probability theory and stochastic processes (60-XX) 44 Functional analysis (46-XX) 43 Numerical analysis (65-XX) 42 Real functions (26-XX) 37 Operator theory (47-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 26 Ordinary differential equations (34-XX) 18 Fluid mechanics (76-XX) 16 Statistics (62-XX) 15 Global analysis, analysis on manifolds (58-XX) 7 Integral equations (45-XX) 7 Mechanics of deformable solids (74-XX) 6 Potential theory (31-XX) 5 Functions of a complex variable (30-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Systems theory; control (93-XX) 4 Combinatorics (05-XX) 4 Difference and functional equations (39-XX) 4 Differential geometry (53-XX) 4 Computer science (68-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Biology and other natural sciences (92-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 2 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year