Edit Profile Nazarov, Alexander I. Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 107 Publications have been cited 561 times in 352 Documents Cited by ▼ Year ▼ On fractional Laplacians. Zbl 1304.47061Musina, Roberta; Nazarov, Alexander I. 45 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. 32 2004 Small ball probabilities for Gaussian random fields and tensor products of compact operators. Zbl 1136.60024Karol’, Andrei; Nazarov, Alexander; Nikitin, Yakov 25 2008 The legacy of Vladimir Andreevich Steklov. Zbl 1322.01050Kuznetsov, Nikolay; Kulczycki, Tadeusz; Kwaśnicki, Mateusz; Nazarov, Alexander; Poborchi, Sergey; Polterovich, Iosif; Siudeja, Bartłomiej 24 2014 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. 18 2012 A survey of results on nonlinear Venttsel problems. Zbl 1058.35118Apushkinskaya, D. E.; Nazarov, A. I. 18 2000 Exact \(L_{2}\)-small ball asymptotics of Gaussian processes and the spectrum of boundary-value problems. Zbl 1187.60025Nazarov, Alexander I. 14 2009 The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients. Zbl 1179.35078Kozlov, Vladimir; Nazarov, Alexander 12 2009 Sharp constants in the Poincaré, Steklov and related inequalities (a survey). Zbl 1321.26042Kuznetsov, Nikolay; Nazarov, Alexander 11 2015 A centennial of the Zaremba-Hopf-Oleinik lemma. Zbl 1243.35031Nazarov, A. I. 10 2012 On a set of transformations of Gaussian random functions. Zbl 1214.60011Nazarov, A. I. 10 2009 Dirichlet and Neumann problems to critical Emden-Fowler type equations. Zbl 1295.49003Nazarov, Alexander I. 10 2008 Logarithmic \(L_2\)-small ball asymptotics for some fractional Gaussian processes. Zbl 1107.60014Nazarov, A. I.; Nikitin, Ya. Yu. 10 2005 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. 10 2004 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 Exact constants in Poincaré type inequalities for functions with zero mean boundary traces. Zbl 1348.46041Nazarov, A. I.; Repin, S. I. 9 2015 Hardy–Sobolev inequalities in a cone. Zbl 1099.26018Nazarov, A. I. 9 2005 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 On fractional Laplacians. II. Zbl 1358.47030Musina, Roberta; Nazarov, Alexander I. 8 2016 Exact small ball asymptotics in weighted \(L_2\)-norm for some Gaussian processes. Zbl 1288.60045Nazarov, A. I.; Pusev, R. S. 8 2009 Fractional Hardy-Sobolev inequalities on half spaces. Zbl 06992582Musina, Roberta; Nazarov, Alexander I. 7 2019 A counterexample to the Hopf-Oleinik lemma (elliptic case). Zbl 1354.35024Apushkinskaya, Darya E.; Nazarov, Alexander I. 7 2016 On the Sobolev and Hardy constants for the fractional Navier Laplacian. Zbl 1352.46035Musina, Roberta; Nazarov, Alexander I. 7 2015 The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients in a wedge. Zbl 1295.35243Kozlov, Vladimir; Nazarov, Alexander 7 2014 On the quasilinear stationary Venttsel boundary value problem. Zbl 0937.35503Apushkinskaya, D. E.; Nazarov, A. I. 7 1995 On fractional Laplacians. III. Zbl 1354.35179Musina, Roberta; Nazarov, Alexander I. 6 2016 Small ball probabilities for smooth Gaussian fields and tensor products of compact operators. Zbl 1301.60044Karol’, Andrei I.; Nazarov, Alexander I. 6 2014 On the existence of an extremal function in critical Sobolev trace embedding theorem. Zbl 1201.46033Nazarov, A. I.; Reznikov, A. B. 6 2010 On solutions to the Dirichlet problem for an equation with \(p\)-Laplacian in a spherical layer. Zbl 1387.35249Nazarov, A. I. 6 2005 On the sharp constant in the small ball asymptotics of some Gaussian processes under \(L_2\)-norm. Zbl 1046.60035Nazarov, A. I. 6 2003 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. 6 2001 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. 5 2014 Log-level comparison principle for small ball probabilities. Zbl 1166.60310Nazarov, Alexander 5 2009 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. 5 2006 On the nonstationary two-phase Venttsel problem in the transversal case. Zbl 1099.35044Nazarov, A. I. 5 2004 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. 5 1998 Hölder estimates for bounded solutions of oblique derivative problems for parabolic equations with nondivergent structure. Zbl 0781.35009Nazarov, A. I. 5 1990 Strong maximum principles for fractional Laplacians. Zbl 1425.35220Musina, Roberta; Nazarov, Alexander I. 4 2019 Variational inequalities for the spectral fractional Laplacian. Zbl 06736023Musina, Roberta; Nazarov, A. I. 4 2017 Non-critical dimensions for critical problems involving fractional Laplacians. Zbl 06569056Musina, Roberta; Nazarov, Alexander I. 4 2016 Degenerate self-similar measures, spectral asymptotics and small deviations of Gaussian processes. Zbl 1244.60040Nazarov, A. I.; Sheipak, I. A. 4 2012 Multiplicity of solutions to the Dirichlet problem for generalized Hénon equation. Zbl 1202.35089Kolonitskii, S. B.; Nazarov, A. I. 4 2007 On an exact constant in the generalized Poincaré inequality. Zbl 1050.26014Nazarov, A. I. 4 2002 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 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 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 initial-boundary value problem for nondivergent parabolic equations with Venttsel’ boundary condition. Zbl 0839.35061Apushkinskaya, D. E.; Nazarov, A. I. 4 1994 Variational inequalities for the fractional Laplacian. Zbl 1368.35142Musina, Roberta; Nazarov, Alexander I.; Sreenadh, Konijeti 3 2017 Stability by linear approximation for time scale dynamical systems. Zbl 1366.34119Kryzhevich, Sergey; Nazarov, Alexander 3 2017 The small ball asymptotics in Hilbert norm for the Kac-Kiefer-Wolfowitz processes. Zbl 1347.60038Nazarov, A. I.; Petrova, Y. P. 3 2016 Small deviations in \(L_2\)-norm for Gaussian dependent sequences. Zbl 1336.60075Hong, Seok Young; Lifshits, Mikhail; Nazarov, Alexander 3 2016 On monotonicity of some functionals under rearrangements. Zbl 1345.49021Bankevich, S. V.; Nazarov, A. I. 3 2015 On exact constants in some embedding theorems of high order. Zbl 1181.46027Nazarov, A. I.; Petrova, A. N. 3 2008 The A. D. Aleksandrov maximum principle. Zbl 1157.35019Nazarov, A. I. 3 2007 Dirichlet problem for quasilinear parabolic equations in domains with smooth closed edges. Zbl 1041.35023Nazarov, A. I. 3 2001 Quasilinear two-phase Venttsel problems. Zbl 1031.35036Apushkinskaya, D. E.; Nazarov, A. I. 3 2000 The one-dimensional character of an extremum point of the Friedrichs inequality in spherical and plane layers. Zbl 1002.46025Nazarov, A. I. 3 2000 Estimates for the gradient of solutions to stationary degenerate Venttsel’ problems. Zbl 0944.35028Apushkinskaya, D. E.; Nazarov, A. I. 3 1998 The oblique boundary-value problem for a quasilinear parabolic equation. Zbl 0836.35075Nazarov, A. I.; Ural’tseva, N. N. 3 1992 Hölder estimates for bounded solutions of problems with an oblique derivative for parabolic equations of nondivergence structure. Zbl 0792.35019Nazarov, A. I. 3 1990 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. 3 1987 On two-dimensional nonlocal Venttsel’ problems in piecewise smooth domains. Zbl 1416.35098Creo, Simone; Lancia, Maria Rosaria; Nazarov, Alexander; Vernole, Paola 2 2019 On the Hölder continuity of solutions of the Venttsel’ elliptic problem. Zbl 1341.35033Nazarov, A. I.; Paletskikh, A. A. 2 2015 On the symmetry of extremal in several embedding theorems. Zbl 1329.05297Mukoseeva, E. V.; Nazarov, A. I. 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 Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients. Zbl 1338.35212Kozlov, V.; Nazarov, A. 2 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 Best constant in a three-parameter Poincaré inequality. Zbl 1291.49026Gerasimov, I. V.; Nazarov, A. I. 2 2011 Trace Hardy-Sobolev inequalities in cones. Zbl 1237.46018Nazarov, A. I. 2 2011 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 Weighted Sobolev-type embedding theorems for functions with symmetries. Zbl 1126.46022Ivanov, S. V.; Nazarov, A. I. 2 2007 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 Tail behavior of anisotropic norms for Gaussian random fields. Zbl 1023.60047Lifshits, Mikhail; Nazarov, Alexander; Nikitin, Yakov 2 2003 The Dirichlet problem in weight spaces. Zbl 1130.35046Apushkinskaya, D. E.; Nazarov, A. I. 2 2002 Some extremal problems for Gaussian and empirical random fields. Zbl 1023.60031Nazarov, A. I.; Nikitin, Ya. Yu. 2 2002 On the symmetry of extremals in the weight embedding theorem. Zbl 1049.49002Nazarov, A. I. 2 2001 On exact constant in a one-dimensional embedding theorem. Zbl 0961.46020Nazarov, A. I. 2 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 0892.35028Apushkinskaya, D. E.; Nazarov, A. I. 2 1995 The nonstationary Venttsel’ problem with quadratic growth with respect to the gradient. Zbl 0867.35048Apushkinskaya, D. E.; Nazarov, A. I. 2 1995 Initial-boundary value problem with Venttsel’ boundary condition for nondivergent parabolic equations. Zbl 0831.35084Apushkinskaya, D. E.; Nazarov, A. I. 2 1994 Oblique derivative problem for a quasilinear parabolic equation. Zbl 0827.35061Nazarov, A. I.; Ural’tseva, N. N. 2 1992 Regularity results for nonlocal evolution Venttsel’ problems. Zbl 07329864Creo, Simone; Lancia, Maria Rosaria; Nazarov, Alexander I. 1 2020 A tool for symmetry breaking and multiplicity in some nonlocal problems. Zbl 1453.35182Musina, Roberta; Nazarov, Alexander I. 1 2020 On a family of ordinary differential equations integrable in elementary functions. Zbl 1457.34004Nazarov, A. I. 1 2020 A generalization of the Hardy inequality. Zbl 1447.26029Nazarov, A. I.; Ustinov, N. S. 1 2020 Elliptic Venttsel problems with \(VMO\) coefficients. Zbl 1446.35241Apushkinskaya, Darya E.; Nazarov, Alexander I.; Palagachev, Dian K.; Softova, Lubomira G. 1 2020 On the boundary point principle for divergence-type equations. Zbl 1433.35029Apushkinskaya, Darya E.; Nazarov, Alexander I. 1 2019 On Brownian exit times from perturbed multi-strips. Zbl 1407.60112Lifshits, M.; Nazarov, A. 1 2019 \(L_{2}\)-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 Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients in a wedge. Zbl 1333.35310Kozlov, Vladimir; Nazarov, Alexander 1 2016 On validity conditions for the Poincaré inequality. Zbl 1303.46026Nazarov, A. I.; Poborchi, S. V. 1 2013 An extremal problem with applications to the problem of testing multivariate independence. Zbl 1241.62068Nazarov, Alexander; Stepanova, Natalia 1 2012 A generalization of the Pólya-Szegő inequality for one-dimensional functionals. Zbl 1275.26033Bankevich, S. V.; Nazarov, A. I. 1 2011 Attainability of infima in the critical Sobolev trace embedding theorem on manifolds. Zbl 1213.46031Nazarov, Alexander; Reznikov, Alexander 1 2010 Hölder estimates for solutions of degenerate nondivergence elliptic and parabolic equations. Zbl 1200.35037Nazarov, A. I. 1 2010 The degenerate Venttsel’ problem for elliptic equations. Zbl 1142.35429Nazarov, A. I. 1 2004 Regularity results for nonlocal evolution Venttsel’ problems. Zbl 07329864Creo, Simone; Lancia, Maria Rosaria; Nazarov, Alexander I. 1 2020 A tool for symmetry breaking and multiplicity in some nonlocal problems. Zbl 1453.35182Musina, Roberta; Nazarov, Alexander I. 1 2020 On a family of ordinary differential equations integrable in elementary functions. Zbl 1457.34004Nazarov, A. I. 1 2020 A generalization of the Hardy inequality. Zbl 1447.26029Nazarov, A. I.; Ustinov, N. S. 1 2020 Elliptic Venttsel problems with \(VMO\) coefficients. Zbl 1446.35241Apushkinskaya, Darya E.; Nazarov, Alexander I.; Palagachev, Dian K.; Softova, Lubomira G. 1 2020 Fractional Hardy-Sobolev inequalities on half spaces. Zbl 06992582Musina, Roberta; Nazarov, Alexander I. 7 2019 Strong maximum principles for fractional Laplacians. Zbl 1425.35220Musina, 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 2 2019 On the boundary point principle for divergence-type equations. Zbl 1433.35029Apushkinskaya, Darya E.; Nazarov, Alexander I. 1 2019 On Brownian exit times from perturbed multi-strips. Zbl 1407.60112Lifshits, M.; Nazarov, A. 1 2019 \(L_{2}\)-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 spectral fractional Laplacian. Zbl 06736023Musina, Roberta; Nazarov, A. I. 4 2017 Variational inequalities for the fractional Laplacian. Zbl 1368.35142Musina, Roberta; Nazarov, Alexander I.; Sreenadh, Konijeti 3 2017 Stability by linear approximation for time scale dynamical systems. Zbl 1366.34119Kryzhevich, Sergey; Nazarov, Alexander 3 2017 On fractional Laplacians. II. Zbl 1358.47030Musina, Roberta; Nazarov, Alexander I. 8 2016 A counterexample to the Hopf-Oleinik lemma (elliptic case). Zbl 1354.35024Apushkinskaya, Darya E.; Nazarov, Alexander I. 7 2016 On fractional Laplacians. III. Zbl 1354.35179Musina, Roberta; Nazarov, Alexander I. 6 2016 Non-critical dimensions for critical problems involving fractional Laplacians. Zbl 06569056Musina, Roberta; Nazarov, Alexander I. 4 2016 The small ball asymptotics in Hilbert norm for the Kac-Kiefer-Wolfowitz processes. Zbl 1347.60038Nazarov, A. I.; Petrova, Y. P. 3 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 11 2015 Exact constants in Poincaré type inequalities for functions with zero mean boundary traces. Zbl 1348.46041Nazarov, A. I.; Repin, S. I. 9 2015 On the Sobolev and Hardy constants for the fractional Navier Laplacian. Zbl 1352.46035Musina, Roberta; Nazarov, Alexander I. 7 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 On the symmetry of extremal in several embedding theorems. Zbl 1329.05297Mukoseeva, E. V.; Nazarov, A. I. 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. 45 2014 The legacy of Vladimir Andreevich Steklov. Zbl 1322.01050Kuznetsov, Nikolay; Kulczycki, Tadeusz; Kwaśnicki, Mateusz; Nazarov, Alexander; Poborchi, Sergey; Polterovich, Iosif; Siudeja, Bartłomiej 24 2014 The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients in a wedge. Zbl 1295.35243Kozlov, Vladimir; Nazarov, Alexander 7 2014 Small ball probabilities for smooth Gaussian fields and tensor products of compact operators. Zbl 1301.60044Karol’, Andrei I.; Nazarov, Alexander I. 6 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. 5 2014 Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients. Zbl 1338.35212Kozlov, V.; Nazarov, A. 2 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 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. 18 2012 A centennial of the Zaremba-Hopf-Oleinik lemma. Zbl 1243.35031Nazarov, A. I. 10 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. 2 2011 Trace Hardy-Sobolev inequalities in cones. Zbl 1237.46018Nazarov, A. I. 2 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 Attainability of infima in the critical Sobolev trace embedding theorem on manifolds. Zbl 1213.46031Nazarov, Alexander; Reznikov, Alexander 1 2010 Hölder estimates for solutions of degenerate nondivergence elliptic and parabolic equations. Zbl 1200.35037Nazarov, A. I. 1 2010 Exact \(L_{2}\)-small ball asymptotics of Gaussian processes and the spectrum of boundary-value problems. Zbl 1187.60025Nazarov, Alexander I. 14 2009 The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients. Zbl 1179.35078Kozlov, Vladimir; Nazarov, Alexander 12 2009 On a set of transformations of Gaussian random functions. Zbl 1214.60011Nazarov, A. I. 10 2009 Exact small ball asymptotics in weighted \(L_2\)-norm for some Gaussian processes. Zbl 1288.60045Nazarov, A. I.; Pusev, R. S. 8 2009 Log-level comparison principle for small ball probabilities. Zbl 1166.60310Nazarov, Alexander 5 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 25 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. 3 2008 On Tabachnikov’s conjecture. Zbl 1152.53003Nazarov, A. I.; Petrov, F. V. 2 2008 Multiplicity of solutions to the Dirichlet problem for generalized Hénon equation. Zbl 1202.35089Kolonitskii, S. B.; Nazarov, A. I. 4 2007 The A. D. Aleksandrov maximum principle. Zbl 1157.35019Nazarov, A. I. 3 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. 5 2006 Logarithmic \(L_2\)-small ball asymptotics for some fractional Gaussian processes. Zbl 1107.60014Nazarov, A. I.; Nikitin, Ya. Yu. 10 2005 Hardy–Sobolev inequalities in a cone. Zbl 1099.26018Nazarov, A. I. 9 2005 On solutions to the Dirichlet problem for an equation with \(p\)-Laplacian in a spherical layer. Zbl 1387.35249Nazarov, A. I. 6 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. 32 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. 10 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 The degenerate Venttsel’ problem for elliptic equations. Zbl 1142.35429Nazarov, A. I. 1 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 On the sharp constant in the small ball asymptotics of some Gaussian processes under \(L_2\)-norm. Zbl 1046.60035Nazarov, A. I. 6 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. 4 2002 The Dirichlet problem in weight spaces. Zbl 1130.35046Apushkinskaya, D. E.; Nazarov, A. I. 2 2002 Some extremal problems for Gaussian and empirical random fields. Zbl 1023.60031Nazarov, A. I.; Nikitin, Ya. Yu. 2 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 Quasilinear elliptic two-phase Venttsel’s problems in the transversal case. Zbl 1113.35324Apushkinskaya, D. E.; Nazarov, A. I. 1 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 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. 6 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. 18 2000 Quasilinear two-phase Venttsel problems. Zbl 1031.35036Apushkinskaya, D. E.; Nazarov, A. I. 3 2000 The one-dimensional character of an extremum point of the Friedrichs inequality in spherical and plane layers. Zbl 1002.46025Nazarov, 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 On the “one-dimensionality” of the extremal in the Poincaré inequality in a square. Zbl 0999.49004Nazarov, A. I. 1 1999 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. 5 1998 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 Estimates for the gradient of solutions to stationary degenerate Venttsel’ problems. Zbl 0944.35028Apushkinskaya, D. E.; Nazarov, A. I. 3 1998 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 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 On the quasilinear stationary Venttsel boundary value problem. Zbl 0937.35503Apushkinskaya, D. E.; Nazarov, A. I. 7 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 0860.35046Apushkinskaya, D. E.; Nazarov, A. I. 4 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 0892.35028Apushkinskaya, D. E.; Nazarov, A. I. 2 1995 The nonstationary Venttsel’ problem with quadratic growth with respect to the gradient. Zbl 0867.35048Apushkinskaya, D. E.; Nazarov, A. I. 2 1995 The initial-boundary value problem for nondivergent parabolic equations with Venttsel’ boundary condition. Zbl 0839.35061Apushkinskaya, D. E.; Nazarov, A. I. 4 1994 Initial-boundary value problem with Venttsel’ boundary condition for nondivergent parabolic equations. Zbl 0831.35084Apushkinskaya, D. E.; Nazarov, A. I. 2 1994 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 467 Authors 60 Nazarov, Alexander I. 11 Musina, Roberta 8 Apushkinskaya, Darya E. 8 Kozlov, Vladimir A. 7 Nikitin, Yakov Yu. 6 Arkhipova, Arina A. Arkhipova 6 Repin, Sergeĭ Igorevich 6 Rossmann, Jürgen 5 Li, Wenbo V. 5 Lifshits, Mikhail A. 5 Sheipak, Igor A. 4 Ai, Xiaohui 4 Dong, Hongjie 4 Fall, Mouhamed Moustapha 4 Galakhov, Evgeniĭ Igorevich 4 Khartov, A. A. 4 Krylov, Nicolaĭ Vladimirovich 4 Lancia, Maria Rosaria 4 Molica Bisci, Giovanni 4 Petrova, Yu. P. 4 Pusev, R. S. 4 Vazquez, Juan Luis 4 Yu, Chengjie 4 Zani, Marguerite 3 Ambrosio, Vincenzo 3 Bankevich, Sergey V. 3 Creo, Simone 3 Fatalov, Vadim Rolandovich 3 Gao, Fuchang 3 Girouard, Alexandre 3 Grubb, Gerd 3 Kim, Doyoon 3 Kolonitskii, S. B. 3 Leckband, Mark 3 Lieberman, Gary M. 3 Nazarov, Sergeĭ Aleksandrovich 3 Rozovskiĭ, Leonid Viktorovich 3 Sadovnichaya, I. V. 3 Seregin, Gregory A. 3 Shi, Yongjie 3 Siudeja, Bartłomiej Andrzej 3 Softova, Lubomira G. 3 Ural’tseva, Nina Nikolaevna 3 Vladimirov, Anton A. 3 Zaporozhets, Dmitry 2 Abatangelo, Nicola 2 Bakharev, Fedor L’vovich 2 Barczy, Mátyás 2 Bobkov, Vladimir E. 2 Bouzebda, Salim 2 Choi, Woocheol 2 Colbois, Bruno 2 Colorado, Eduardo 2 Edward, Julian 2 Gal’kovskiĭ, E. D. 2 Garmanova, T. A. 2 Gol’dshtein, Vladimir Mikhailovich 2 Gómez, Delfina 2 Hassannezhad, Asma 2 Huang, Yongpan 2 Hudson, Steve M. 2 Ibragimov, Il’dar Abdullovich 2 Jarohs, Sven 2 Kao, Chiu-Yen 2 Karol’, Andrei I. 2 Kim, KyeongHun 2 Kim, Seunghyeok 2 Kleptsyna, Marina L. 2 Kühn, Thomas 2 Kuo, Hung-Ju 2 Kwaśnicki, Mateusz 2 Laugesen, Richard Snyder 2 Lukina, A. A. 2 Luo, Yousong 2 Marushkevych, Dmytro 2 Matculevich, S. V. 2 Matculevich, Svetlana 2 Méhats, Florian 2 Miyagaki, Olimpio Hiroshi 2 Nguyễn Văn Hoàng 2 Nitsch, Carlo 2 Otárola, Enrique 2 Palagachev, Dian K. 2 Pérez, Eugenia 2 Rastegaev, N. V. 2 Ros-Oton, Xavier 2 Safonov, Mikhail V. 2 Saldaña, Alberto 2 Salgado, Abner J. 2 Savchuk, Artem M. 2 Shcheglova, A. P. 2 Shilkin, T. N. 2 Sprekels, Jürgen 2 Takahashi, Futoshi 2 Thiam, El Hadji Abdoulaye 2 Trombetti, Cristina 2 Trudinger, Neil Sidney 2 Ukhlov, Alexander Dadar-Oolovich 2 Ustinov, N. S. 2 Vernole, Paola Gioia ...and 367 more Authors all top 5 Cited in 141 Serials 36 Journal of Mathematical Sciences (New York) 18 Journal of Differential Equations 14 Journal of Mathematical Analysis and Applications 13 St. Petersburg Mathematical Journal 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of Functional Analysis 8 Calculus of Variations and Partial Differential Equations 7 Journal of Complexity 7 Journal of Theoretical Probability 6 Statistics & Probability Letters 6 Doklady Mathematics 5 Functional Analysis and its Applications 5 Vestnik St. Petersburg University. Mathematics 4 Mathematical Notes 4 Mathematische Nachrichten 4 Transactions of the American Mathematical Society 4 SIAM Journal on Mathematical Analysis 4 Potential Analysis 4 Complex Variables and Elliptic Equations 3 Archive for Rational Mechanics and Analysis 3 Advances in Mathematics 3 Mathematika 3 Annales de l’Institut Henri Poincaré. 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