Edit Profile (opens in new tab) Gol’dshtein, Vladimir Mikhailovich Co-Author Distance Author ID: goldshtein.vladimir Published as: Gol’dshtein, Vladimir; Gol’dshtein, V.; Gol’dshteĭn, V. M.; Goldshtein, V.; Gol’dhstein, Vladimir; Gold’shtein, Vladimir; Goldshtein, Vladimir; Gol’dshtein, V. M. more...less Homepage: https://www.math.bgu.ac.il/~vladimir/ External Links: MGP · ORCID · Google Scholar · Math-Net.Ru · dblp Documents Indexed: 121 Publications since 1979, including 1 Book and 14 Additional arXiv Preprints Co-Authors: 52 Co-Authors with 120 Joint Publications 1,031 Co-Co-Authors all top 5 Co-Authors 1 single-authored 40 Ukhlov, Alexander Dadar-Oolovich 22 Goldfarb, Igor 15 Pchelintsev, Valery Anatol’evich 14 Troyanov, Marc 13 Bykov, Viatcheslav 7 Zinoviev, Ann 6 Maas, Ulrich 5 Borok, Sofia 5 Shreiber, Isaak 4 Krapivnik, N. 4 Kuzmenko, Grigory 4 Nave, Ophir 4 Sazhin, Sergei S. 3 Greenberg, Jerrold Barry 3 Hurri-Syrjānen, Ritva 3 Kopylov, Yaroslav Anatol’evich 3 Reshetnyak, Yuriĭ Grigor’evich 3 Segev, Reuven 3 Sevost’yanov, Yevgen Oleksandrovych 2 Burenkov, Viktor Ivanovich 2 Cherkinsky, Y. 2 Gurov, L. G. 2 Lehavi, Yaron 2 McIntosh, Andy C. 2 Motreanu, Viorica Venera 2 Panenko, Roman Anatol’evich 2 Panfilov, Vadim 2 Sazhina, E. M. 2 Sivashinsky, Gregory I. 2 Sobolev, Vladimir A. 2 Vodop’yanov, Sergeĭ Konstantinovich 1 Ajadi, Suraj 1 Ajadi, Suraju Olusegun 1 Birbrair, Lev 1 Braiman, Alex 1 Dubrovskiy, Stanislav 1 Hareli, Shlomo 1 Hashash, Paz 1 Kuz’minov, Vladimir I. 1 Mariano, Paolo Maria 1 Mitrea, Irina 1 Mitrea, Marius 1 Motreanu, Dumitru 1 Mucci, Domenico 1 Priel, Zvi 1 Ramm, Alexander G. 1 Romanov, Aleksandr Sergeevich 1 Rubin, Matatyahu 1 Shchepakina, Elena Anatol’evna 1 Shvedov, Igor A. 1 Vasiltchik, M. Ju. 1 Zobin, Nahum all top 5 Serials 6 IMA Journal of Applied Mathematics 6 Combustion Theory and Modelling 5 Journal of Mathematical Sciences (New York) 4 Journal of Engineering Mathematics 4 Complex Variables and Elliptic Equations 3 Integral Equations and Operator Theory 3 International Journal of Pure and Applied Mathematics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 The Journal of Geometric Analysis 2 Applied Mathematical Modelling 2 SIAM Journal on Applied Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Communications in Nonlinear Science and Numerical Simulation 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Analysis and Mathematical Physics 2 Nonlinear Analysis. Theory, Methods & Applications 2 Transactions of A. Razmadze Mathematical Institute 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 International Journal of Multiphase Flow 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Shock Waves 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Rendiconti del Seminario Matematico della Università di Padova 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Annals of Global Analysis and Geometry 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 Siberian Advances in Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 St. Petersburg Mathematical Journal 1 Annales Mathématiques Blaise Pascal 1 Georgian Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Mathematical Inequalities & Applications 1 Lobachevskii Journal of Mathematics 1 Mathematical Reports 1 Computational Methods and Function Theory 1 Applied Mathematics, Informatics and Mechanics 1 Mathematics and Its Applications. Soviet Series 1 Complex Analysis and Operator Theory 1 Mathematical Modelling of Natural Phenomena 1 Journal of Spectral Theory 1 Eurasian Mathematical Journal 1 Pure and Applied Functional Analysis 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 52 Functional analysis (46-XX) 41 Functions of a complex variable (30-XX) 32 Partial differential equations (35-XX) 32 Classical thermodynamics, heat transfer (80-XX) 19 Fluid mechanics (76-XX) 17 Ordinary differential equations (34-XX) 15 Global analysis, analysis on manifolds (58-XX) 7 Potential theory (31-XX) 7 Differential geometry (53-XX) 6 Biology and other natural sciences (92-XX) 5 Operator theory (47-XX) 4 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 636 times in 331 Documents Cited by ▼ Year ▼ Weighted Sobolev spaces and embedding theorems. Zbl 1180.46022 Gol’dshtein, V.; Ukhlov, A. 91 2009 Quasiconformal mappings and Sobolev spaces. Transl. from the Russian by O. Korneeva. Rev. translation. Zbl 0687.30001 Gol’dshtejn, V. M.; Reshetnyak, Yu. G. 42 1990 Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology. Zbl 1105.58008 Gol’dshtein, Vladimir; Troyanov, Marc 38 2006 Applications of change of variables operators for exact embedding theorems. Zbl 0806.46033 Gol’dshtein, V.; Gurov, L. 36 1994 Axiomatic theory of Sobolev spaces. Zbl 1006.46023 Gol’dshtein, Vladimir; Troyanov, Marc 31 2001 Homeomorphisms that induce monomorphisms of Sobolev spaces. Zbl 0836.46021 Gol’dshtein, Vladimir; Gurov, L. G.; Romanov, Alexandr Sergeevich 28 1995 Hodge decompositions with mixed boundary conditions and applications to partial differential equations on Lipschitz manifolds. Zbl 1230.58018 Gol’dshtein, V.; Mitrea, I.; Mitrea, M. 23 2011 On geometric properties of functions with generalized first derivatives. Zbl 0429.30017 Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G. 21 1979 On the first eigenvalues of free vibrating membranes in conformal regular domains. Zbl 1338.35422 Gol’dshtein, V.; Ukhlov, A. 21 2016 The Kelvin-Nevanlinna-Royden criterion for \(p\)-parabolicity. Zbl 0939.31011 Gol’dshtein, Vladimir; Troyanov, Marc 18 1999 About homeomorphisms that induce composition operators on Sobolev spaces. Zbl 1246.30039 Gol’dshtein, V.; Ukhlov, A. 18 2010 Conformal spectral stability estimates for the Dirichlet Laplacian. Zbl 1330.47058 Burenkov, V. I.; Gol’dshtein, V.; Ukhlov, A. 17 2015 Simple global reduction technique based on decomposition approach. Zbl 1148.80391 Bykov, V.; Gol’dshtein, V.; Maas, U. 16 2008 Criterion for thermal explosion with reactant consumption in a dusty gas. Zbl 0874.34052 Gol’dshtein, V.; Zinoviev, A.; Sobolev, V.; Shchepakina, E. 13 1996 Capacities in metric spaces. Zbl 1030.46038 Gol’dshtein, Vladimir; Troyanov, Marc 13 2002 The spectral estimates for the Neumann-Laplace operator in space domains. Zbl 1387.35433 Gol’dshtein, V.; Ukhlov, A. 13 2017 Conformal weights and Sobolev embeddings. Zbl 1294.30102 Gol’dshtein, V.; Ukhlov, A. 12 2013 Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian. Zbl 1397.30007 Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A. 10 2018 Brennan’s conjecture and universal Sobolev inequalities. Zbl 1301.46013 Gol’dshtein, V.; Ukhlov, A. 10 2014 Sobolev homeomorphisms and Brennan’s conjecture. Zbl 1307.30010 Gol’dshtein, V.; Ukhlov, A. 9 2014 Brennan’s conjecture for composition operators on Sobolev spaces. Zbl 1281.30008 Gol’dshtein, V.; Ukhlov, A. 9 2012 On the first eigenvalue of the degenerate \(p\)-Laplace operator in non-convex domains. Zbl 1401.35222 Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A. 9 2018 Über geometrische Eigenschaften von Funktionen mit ersten verallgemeinerten Ableitungen. Zbl 0407.30012 Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G. 8 1979 Thermal explosion in a combustible gas containing fuel droplets. Zbl 0974.76093 McIntosh, A. C.; Gol’dshtein, V.; Goldfarb, I.; Zinoviev, A. 8 1998 Traces of functions of \(L^1_2\) Dirichlet spaces on the Carathéodory boundary. Zbl 1367.46029 Gol’dshtein, Vladimir; Ukhlov, Alexander 8 2016 Thermal radiation effect on thermal explosion in gas containing fuel droplets. Zbl 0982.76568 Goldfarb, Igor; Gol’dshtein, Vladimir; Kuzmenko, Grigory; Sazhin, Sergei 7 1999 On a modified version of ILDM approach: asymptotic analysis based on integral manifolds. Zbl 1228.34066 Bykov, Viatcheslav; Goldfarb, Igor; Gol’dshtein, Vladimir; Maas, Ulrich 7 2006 Comparative analysis of two asymptotic approaches based on integral manifolds. Zbl 1109.80009 Goldfarb, Igor; Gol’dshtein, Vladimir; Maas, Ulrich 7 2004 Spectral estimates of the \(p\)-Laplace Neumann operator in conformal regular domains. Zbl 1354.35063 Gol’dshtein, V.; Ukhlov, A. 7 2016 Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains. Zbl 1423.35276 Gol’dshtein, Vladimir; Pchelintsev, V.; Ukhlov, A. 6 2019 Fast and slow invariant manifolds in chemical kinetics. Zbl 1361.34049 Bykov, V.; Gol’dshtein, V. 6 2013 Compactness of the embedding operators for rough domains. Zbl 0976.46022 Gol’dshtein, Vladimir; Ramm, Alexander G. 5 2001 Embeddings of weighted Sobolev spaces and degenerate Dirichlet problems involving the weighted \(p\)-Laplacian. Zbl 1232.46031 Gol’dshtein, V.; Motreanu, V. V.; Ukhlov, A. 5 2011 The Hölder-Poincaré duality for \(L _{q,p }\)-cohomology. Zbl 1255.58001 Gol’dshtein, Vladimir; Troyanov, Marc 5 2012 Spectral estimates of the \(p\)-Laplace Neumann operator and Brennan’s conjecture. Zbl 1393.35131 Gol’dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander 5 2018 Conformal spectral stability estimates for the Neumann Laplacian. Zbl 1355.47010 Burenkov, V. I.; Gol’dshtein, V.; Ukhlov, A. 5 2016 Space quasiconformal mappings and Neumann eigenvalues in fractal type domains. Zbl 1391.35298 Gol’dshtein, Vladimir; Hurri-Syrjänen, Ritva; Ukhlov, Alexander 4 2018 A short proof of the Hölder-Poincaré duality for \(L_p\)-cohomology. Zbl 1225.58004 Gol’dshtein, Vladimir; Troyanov, Marc 4 2010 A conformal de Rham complex. Zbl 1196.30022 Gol’dshtein, Vladimir; Troyanov, Marc 4 2010 Distortion of mappings and \(L_{q,p}\)-cohomology. Zbl 1219.58007 Gol’dshtein, Vladimir; Troyanov, Marc 4 2010 Sobolev homeomorphisms and composition operators. Zbl 1200.47031 Gol’dshtein, Vladimir; Ukhlov, Alexander 4 2010 Oscillations in a combustible gas bubble. Zbl 1040.80501 Gol’dshtein, V.; Goldfarb, I.; Shreiber, I.; Zinoviev, A. 3 1998 Delayed thermal explosion in porous media: Method of invariant manifolds. Zbl 1008.80004 Goldfarb, Igor; Gol’dshtein, Vladimir; Zinoviev, Ann 3 2002 Critical behaviour in a three-step reaction kinetics model. Zbl 1156.80401 Ajadi, S. O.; Gol’dshtein, V. 3 2009 Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities. Zbl 1440.46060 Gol’dshtein, Vladimir; Kopylov, Yaroslav Anatol’evich 3 2019 A probabilistic model of thermal explosion in polydisperse fuel spray. Zbl 1202.80019 Nave, Ophir; Bykov, Vitcheslav; Gol’dshtein, Vladimir 3 2010 Comparison of the homotopy perturbation method (HPM) and method of integral manifolds (MIM) on a thermal explosion of polydisperse fuel spray system. Zbl 1268.80008 Nave, Ophir; Ajadi, Suraj; Lehavi, Yaron; Gol’dshtein, Vladimir 3 2013 Thermal explosion in a droplet-gas cloud. Zbl 0995.76096 Goldfarb, Igor; Gol’dshtein, Vladimir; Greenberg, J. Barry; Kuzmenko, Grigory 2 2000 An example of noncoincidence of \(L_ p\)-cohomology and intersection homology for real algebraic varieties. Zbl 0826.14011 Birbrair, Lev; Gol’dshtein, Vladimir 2 1994 The \(L_{pq}\)-cohomology of \(\text{SOL}^{(*)}\). Zbl 0962.53031 Gol’dshtein, Vladimir; Troyanov, Marc 2 1998 An integral characterization of Hajłasz-Sobolev space. Zbl 1028.46051 Troyanov, Marc; Gol’dshtein, Vladimir 2 2001 Thermal explosion in multiple phase media. Zbl 0896.34062 Goldshtein, V.; Zinoviev, A. 2 1997 On the naturality of the exterior differential. Zbl 1173.58001 Gol’dshtein, Vladimir; Troyanov, Marc 2 2008 \(L_{q,p}\)-cohomology of Riemannian manifolds with negative curvature. Zbl 1169.58003 Gol’dshtein, Vladimir; Troyanov, Marc 2 2009 Drainage waves structure in gas-liquid foam. Zbl 1135.76424 Goldshtein, V.; Goldfarb, I.; Shreiber, I. 2 1996 On the functional properties of weak \((p, q)\)-quasiconformal homeomorphisms. Zbl 1455.30013 Gol’dshtein, Vladimir; Ukhlov, Alexander 2 2020 Composition operators on Sobolev spaces and Neumann eigenvalues. Zbl 1430.35174 Gol’dshtein, V.; Ukhlov, A. 2 2019 Spectral stability estimates of Dirichlet divergence form elliptic operators. Zbl 1472.35254 Gol’dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander 2 2020 Space quasiconformal composition operators with applications to Neumann eigenvalues. Zbl 1456.35146 Gol’dshtein, Vladimir; Hurri-Syrjänen, Ritva; Pchelintsev, Valerii; Ukhlov, Alexander 2 2020 Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators. Zbl 1495.35131 Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A. 2 2022 Sobolev extension operators and Neumann eigenvalues. Zbl 1442.35279 Gol’dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander 2 2020 Singularly perturbed homotopy analysis method. Zbl 1428.76171 Nave, Ophir; Hareli, Shlomo; Gol’dshtein, Vladimir 2 2014 About non-coincidence of invariant manifolds and intrinsic low dimensional manifolds (ILDM). Zbl 1221.80014 Borok, Sofia; Goldfarb, Igor; Gol’dshtein, Vladimir 2 2008 System decomposition technique for spray modelling in CFD codes. Zbl 1177.76279 Bykov, V.; Goldfarb, I.; Gol’dshtein, V.; Sazhin, S.; Sazhina, E. 2 2007 On creeping detonation in filtration combustion. Zbl 0812.76085 Gol’dshtein, V.; Shreiber, I.; Sivashinsky, G. 1 1994 Operation of heterogeneous CSTR by variable feed flow rate. Zbl 0900.65224 Gol’dshtein, V.; Panfilov, V.; Shreiber, I. 1 1996 Thermal radiation effect on thermal explosion in a gas containing evaporating fuel droplets. Zbl 1309.80006 Goldfarb, I.; Gol’dshtein, V.; Katz, D.; Sazhin, S. 1 2006 Analysis of radiative heat-loss effects in thermal explosion of a gas using the integral manifold method. Zbl 1141.76473 Goldfarb, Igor; Gol’dshtein, Vladimir; Greenberg, J. Barry; Kuzmenko, Grigory 1 2002 “Ghost” ILDM-manifolds and their identification. Zbl 1140.34396 Borok, S.; Goldfarb, I.; Gol’dshtein, V.; Maas, U. 1 2006 On a modified version of ILDM method and its asymptotic analysis. Zbl 1360.34123 Borok, S.; Goldfarb, I.; Gol’dshtein, V. 1 2008 Reconstruction of domains from their groups of quasiconformal autohomeomorphisms. Zbl 0831.30009 Goldshtein, Vladimir; Rubin, Matatyahu 1 1995 On Cheeger’s theorem: Extensions to \(L_ p\)-cohomology of warped cylinders. Zbl 0848.53026 Gol’dshtein, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 1 1992 On the integral manifold approach to a flame propagation problem: pressure-driven flames in porous media. Zbl 1109.80008 Bykov, Viatcheslav; Goldfarb, Igor; Gol’dshtein, Vladimir 1 2004 Multi-scale analysis of pressure driven flames. Zbl 1097.34035 Bykov, V.; Goldfarb, I.; Gol’dshtein, V. 1 2005 On conformal spectral gap estimates of the Dirichlet-Laplacian. Zbl 1431.35091 Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A. 1 2020 Reduced \(L_{q,p}\)-cohomology of some twisted products. Zbl 1429.58004 Gol’dshtein, Vladimir; Kopylov, Yaroslav 1 2016 Inertia effect on a structure of pressure-driven flames in porous media. Zbl 1041.76566 Bykov, Viatcheslav; Goldfarb, Igor; Gol’dshtein, Vladimir 1 2004 On the boundary behavior of weak \((p, q)\)-quasiconformal mappings. Zbl 1515.30062 Gol’dshtein, Vladimir; Sevost’yanov, Evgeny; Ukhlov, Alexander 1 2023 Model reduction of the intracellular-signaling subsystem of apoptosis. Zbl 1338.92038 Bykov, V.; Gol’dshtein, V. 1 2016 Singularly perturbed profiles. Zbl 1408.80007 Bykov, V.; Cherkinsky, Y.; Gol’dshtein, V.; Krapivnik, N.; Maas, U. 1 2018 Non-homogeneous Dirichlet boundary value problems in weighted Sobolev spaces. Zbl 1317.35096 Gol’dshtein, V.; Motreanu, D.; Motreanu, V. V. 1 2015 Causes for “ghost” manifolds. Zbl 1221.34154 Borok, S.; Goldfarb, I.; Gol’dshtein, V. 1 2009 Embedding theorems and boundary-value problems for cusp domains. Zbl 1198.46032 Gol’dshtein, V.; Vasiltchik, M. Ju. 1 2010 On the boundary behavior of weak \((p, q)\)-quasiconformal mappings. Zbl 1515.30062 Gol’dshtein, Vladimir; Sevost’yanov, Evgeny; Ukhlov, Alexander 1 2023 Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators. Zbl 1495.35131 Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A. 2 2022 On the functional properties of weak \((p, q)\)-quasiconformal homeomorphisms. Zbl 1455.30013 Gol’dshtein, Vladimir; Ukhlov, Alexander 2 2020 Spectral stability estimates of Dirichlet divergence form elliptic operators. Zbl 1472.35254 Gol’dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander 2 2020 Space quasiconformal composition operators with applications to Neumann eigenvalues. Zbl 1456.35146 Gol’dshtein, Vladimir; Hurri-Syrjänen, Ritva; Pchelintsev, Valerii; Ukhlov, Alexander 2 2020 Sobolev extension operators and Neumann eigenvalues. Zbl 1442.35279 Gol’dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander 2 2020 On conformal spectral gap estimates of the Dirichlet-Laplacian. Zbl 1431.35091 Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A. 1 2020 Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains. Zbl 1423.35276 Gol’dshtein, Vladimir; Pchelintsev, V.; Ukhlov, A. 6 2019 Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities. Zbl 1440.46060 Gol’dshtein, Vladimir; Kopylov, Yaroslav Anatol’evich 3 2019 Composition operators on Sobolev spaces and Neumann eigenvalues. Zbl 1430.35174 Gol’dshtein, V.; Ukhlov, A. 2 2019 Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian. Zbl 1397.30007 Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A. 10 2018 On the first eigenvalue of the degenerate \(p\)-Laplace operator in non-convex domains. Zbl 1401.35222 Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A. 9 2018 Spectral estimates of the \(p\)-Laplace Neumann operator and Brennan’s conjecture. Zbl 1393.35131 Gol’dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander 5 2018 Space quasiconformal mappings and Neumann eigenvalues in fractal type domains. Zbl 1391.35298 Gol’dshtein, Vladimir; Hurri-Syrjänen, Ritva; Ukhlov, Alexander 4 2018 Singularly perturbed profiles. Zbl 1408.80007 Bykov, V.; Cherkinsky, Y.; Gol’dshtein, V.; Krapivnik, N.; Maas, U. 1 2018 The spectral estimates for the Neumann-Laplace operator in space domains. Zbl 1387.35433 Gol’dshtein, V.; Ukhlov, A. 13 2017 On the first eigenvalues of free vibrating membranes in conformal regular domains. Zbl 1338.35422 Gol’dshtein, V.; Ukhlov, A. 21 2016 Traces of functions of \(L^1_2\) Dirichlet spaces on the Carathéodory boundary. Zbl 1367.46029 Gol’dshtein, Vladimir; Ukhlov, Alexander 8 2016 Spectral estimates of the \(p\)-Laplace Neumann operator in conformal regular domains. Zbl 1354.35063 Gol’dshtein, V.; Ukhlov, A. 7 2016 Conformal spectral stability estimates for the Neumann Laplacian. Zbl 1355.47010 Burenkov, V. I.; Gol’dshtein, V.; Ukhlov, A. 5 2016 Reduced \(L_{q,p}\)-cohomology of some twisted products. Zbl 1429.58004 Gol’dshtein, Vladimir; Kopylov, Yaroslav 1 2016 Model reduction of the intracellular-signaling subsystem of apoptosis. Zbl 1338.92038 Bykov, V.; Gol’dshtein, V. 1 2016 Conformal spectral stability estimates for the Dirichlet Laplacian. Zbl 1330.47058 Burenkov, V. I.; Gol’dshtein, V.; Ukhlov, A. 17 2015 Non-homogeneous Dirichlet boundary value problems in weighted Sobolev spaces. Zbl 1317.35096 Gol’dshtein, V.; Motreanu, D.; Motreanu, V. V. 1 2015 Brennan’s conjecture and universal Sobolev inequalities. Zbl 1301.46013 Gol’dshtein, V.; Ukhlov, A. 10 2014 Sobolev homeomorphisms and Brennan’s conjecture. Zbl 1307.30010 Gol’dshtein, V.; Ukhlov, A. 9 2014 Singularly perturbed homotopy analysis method. Zbl 1428.76171 Nave, Ophir; Hareli, Shlomo; Gol’dshtein, Vladimir 2 2014 Conformal weights and Sobolev embeddings. Zbl 1294.30102 Gol’dshtein, V.; Ukhlov, A. 12 2013 Fast and slow invariant manifolds in chemical kinetics. Zbl 1361.34049 Bykov, V.; Gol’dshtein, V. 6 2013 Comparison of the homotopy perturbation method (HPM) and method of integral manifolds (MIM) on a thermal explosion of polydisperse fuel spray system. Zbl 1268.80008 Nave, Ophir; Ajadi, Suraj; Lehavi, Yaron; Gol’dshtein, Vladimir 3 2013 Brennan’s conjecture for composition operators on Sobolev spaces. Zbl 1281.30008 Gol’dshtein, V.; Ukhlov, A. 9 2012 The Hölder-Poincaré duality for \(L _{q,p }\)-cohomology. Zbl 1255.58001 Gol’dshtein, Vladimir; Troyanov, Marc 5 2012 Hodge decompositions with mixed boundary conditions and applications to partial differential equations on Lipschitz manifolds. Zbl 1230.58018 Gol’dshtein, V.; Mitrea, I.; Mitrea, M. 23 2011 Embeddings of weighted Sobolev spaces and degenerate Dirichlet problems involving the weighted \(p\)-Laplacian. Zbl 1232.46031 Gol’dshtein, V.; Motreanu, V. V.; Ukhlov, A. 5 2011 About homeomorphisms that induce composition operators on Sobolev spaces. Zbl 1246.30039 Gol’dshtein, V.; Ukhlov, A. 18 2010 A short proof of the Hölder-Poincaré duality for \(L_p\)-cohomology. Zbl 1225.58004 Gol’dshtein, Vladimir; Troyanov, Marc 4 2010 A conformal de Rham complex. Zbl 1196.30022 Gol’dshtein, Vladimir; Troyanov, Marc 4 2010 Distortion of mappings and \(L_{q,p}\)-cohomology. Zbl 1219.58007 Gol’dshtein, Vladimir; Troyanov, Marc 4 2010 Sobolev homeomorphisms and composition operators. Zbl 1200.47031 Gol’dshtein, Vladimir; Ukhlov, Alexander 4 2010 A probabilistic model of thermal explosion in polydisperse fuel spray. Zbl 1202.80019 Nave, Ophir; Bykov, Vitcheslav; Gol’dshtein, Vladimir 3 2010 Embedding theorems and boundary-value problems for cusp domains. Zbl 1198.46032 Gol’dshtein, V.; Vasiltchik, M. Ju. 1 2010 Weighted Sobolev spaces and embedding theorems. Zbl 1180.46022 Gol’dshtein, V.; Ukhlov, A. 91 2009 Critical behaviour in a three-step reaction kinetics model. Zbl 1156.80401 Ajadi, S. O.; Gol’dshtein, V. 3 2009 \(L_{q,p}\)-cohomology of Riemannian manifolds with negative curvature. Zbl 1169.58003 Gol’dshtein, Vladimir; Troyanov, Marc 2 2009 Causes for “ghost” manifolds. Zbl 1221.34154 Borok, S.; Goldfarb, I.; Gol’dshtein, V. 1 2009 Simple global reduction technique based on decomposition approach. Zbl 1148.80391 Bykov, V.; Gol’dshtein, V.; Maas, U. 16 2008 On the naturality of the exterior differential. Zbl 1173.58001 Gol’dshtein, Vladimir; Troyanov, Marc 2 2008 About non-coincidence of invariant manifolds and intrinsic low dimensional manifolds (ILDM). Zbl 1221.80014 Borok, Sofia; Goldfarb, Igor; Gol’dshtein, Vladimir 2 2008 On a modified version of ILDM method and its asymptotic analysis. Zbl 1360.34123 Borok, S.; Goldfarb, I.; Gol’dshtein, V. 1 2008 System decomposition technique for spray modelling in CFD codes. Zbl 1177.76279 Bykov, V.; Goldfarb, I.; Gol’dshtein, V.; Sazhin, S.; Sazhina, E. 2 2007 Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology. Zbl 1105.58008 Gol’dshtein, Vladimir; Troyanov, Marc 38 2006 On a modified version of ILDM approach: asymptotic analysis based on integral manifolds. Zbl 1228.34066 Bykov, Viatcheslav; Goldfarb, Igor; Gol’dshtein, Vladimir; Maas, Ulrich 7 2006 Thermal radiation effect on thermal explosion in a gas containing evaporating fuel droplets. Zbl 1309.80006 Goldfarb, I.; Gol’dshtein, V.; Katz, D.; Sazhin, S. 1 2006 “Ghost” ILDM-manifolds and their identification. Zbl 1140.34396 Borok, S.; Goldfarb, I.; Gol’dshtein, V.; Maas, U. 1 2006 Multi-scale analysis of pressure driven flames. Zbl 1097.34035 Bykov, V.; Goldfarb, I.; Gol’dshtein, V. 1 2005 Comparative analysis of two asymptotic approaches based on integral manifolds. Zbl 1109.80009 Goldfarb, Igor; Gol’dshtein, Vladimir; Maas, Ulrich 7 2004 On the integral manifold approach to a flame propagation problem: pressure-driven flames in porous media. Zbl 1109.80008 Bykov, Viatcheslav; Goldfarb, Igor; Gol’dshtein, Vladimir 1 2004 Inertia effect on a structure of pressure-driven flames in porous media. Zbl 1041.76566 Bykov, Viatcheslav; Goldfarb, Igor; Gol’dshtein, Vladimir 1 2004 Capacities in metric spaces. Zbl 1030.46038 Gol’dshtein, Vladimir; Troyanov, Marc 13 2002 Delayed thermal explosion in porous media: Method of invariant manifolds. Zbl 1008.80004 Goldfarb, Igor; Gol’dshtein, Vladimir; Zinoviev, Ann 3 2002 Analysis of radiative heat-loss effects in thermal explosion of a gas using the integral manifold method. Zbl 1141.76473 Goldfarb, Igor; Gol’dshtein, Vladimir; Greenberg, J. Barry; Kuzmenko, Grigory 1 2002 Axiomatic theory of Sobolev spaces. Zbl 1006.46023 Gol’dshtein, Vladimir; Troyanov, Marc 31 2001 Compactness of the embedding operators for rough domains. Zbl 0976.46022 Gol’dshtein, Vladimir; Ramm, Alexander G. 5 2001 An integral characterization of Hajłasz-Sobolev space. Zbl 1028.46051 Troyanov, Marc; Gol’dshtein, Vladimir 2 2001 Thermal explosion in a droplet-gas cloud. Zbl 0995.76096 Goldfarb, Igor; Gol’dshtein, Vladimir; Greenberg, J. Barry; Kuzmenko, Grigory 2 2000 The Kelvin-Nevanlinna-Royden criterion for \(p\)-parabolicity. Zbl 0939.31011 Gol’dshtein, Vladimir; Troyanov, Marc 18 1999 Thermal radiation effect on thermal explosion in gas containing fuel droplets. Zbl 0982.76568 Goldfarb, Igor; Gol’dshtein, Vladimir; Kuzmenko, Grigory; Sazhin, Sergei 7 1999 Thermal explosion in a combustible gas containing fuel droplets. Zbl 0974.76093 McIntosh, A. C.; Gol’dshtein, V.; Goldfarb, I.; Zinoviev, A. 8 1998 Oscillations in a combustible gas bubble. Zbl 1040.80501 Gol’dshtein, V.; Goldfarb, I.; Shreiber, I.; Zinoviev, A. 3 1998 The \(L_{pq}\)-cohomology of \(\text{SOL}^{(*)}\). Zbl 0962.53031 Gol’dshtein, Vladimir; Troyanov, Marc 2 1998 Thermal explosion in multiple phase media. Zbl 0896.34062 Goldshtein, V.; Zinoviev, A. 2 1997 Criterion for thermal explosion with reactant consumption in a dusty gas. Zbl 0874.34052 Gol’dshtein, V.; Zinoviev, A.; Sobolev, V.; Shchepakina, E. 13 1996 Drainage waves structure in gas-liquid foam. Zbl 1135.76424 Goldshtein, V.; Goldfarb, I.; Shreiber, I. 2 1996 Operation of heterogeneous CSTR by variable feed flow rate. Zbl 0900.65224 Gol’dshtein, V.; Panfilov, V.; Shreiber, I. 1 1996 Homeomorphisms that induce monomorphisms of Sobolev spaces. Zbl 0836.46021 Gol’dshtein, Vladimir; Gurov, L. G.; Romanov, Alexandr Sergeevich 28 1995 Reconstruction of domains from their groups of quasiconformal autohomeomorphisms. Zbl 0831.30009 Goldshtein, Vladimir; Rubin, Matatyahu 1 1995 Applications of change of variables operators for exact embedding theorems. Zbl 0806.46033 Gol’dshtein, V.; Gurov, L. 36 1994 An example of noncoincidence of \(L_ p\)-cohomology and intersection homology for real algebraic varieties. Zbl 0826.14011 Birbrair, Lev; Gol’dshtein, Vladimir 2 1994 On creeping detonation in filtration combustion. Zbl 0812.76085 Gol’dshtein, V.; Shreiber, I.; Sivashinsky, G. 1 1994 On Cheeger’s theorem: Extensions to \(L_ p\)-cohomology of warped cylinders. Zbl 0848.53026 Gol’dshtein, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 1 1992 Quasiconformal mappings and Sobolev spaces. Transl. from the Russian by O. Korneeva. Rev. translation. Zbl 0687.30001 Gol’dshtejn, V. M.; Reshetnyak, Yu. G. 42 1990 On geometric properties of functions with generalized first derivatives. Zbl 0429.30017 Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G. 21 1979 Über geometrische Eigenschaften von Funktionen mit ersten verallgemeinerten Ableitungen. Zbl 0407.30012 Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G. 8 1979 all cited Publications top 5 cited Publications all top 5 Cited by 378 Authors 53 Gol’dshtein, Vladimir Mikhailovich 38 Ukhlov, Alexander Dadar-Oolovich 23 Otárola, Enrique 18 Salgado, Abner J. 12 Sevost’yanov, Yevgen Oleksandrovych 10 Pchelintsev, Valery Anatol’evich 9 Nave, Ophir 8 Troyanov, Marc 7 Bykov, Viatcheslav 7 Goldfarb, Igor 7 Kopylov, Yaroslav Anatol’evich 7 Nochetto, Ricardo Horacio 6 Vasil’eva, Anastasiya Andreevna 6 Vodop’yanov, Sergeĭ Konstantinovich 5 Allendes, Alejandro 5 Anza Hafsa, Omar 5 Licht, Martin Werner 5 Mandallena, Jean-Philippe 5 Sazhin, Sergei S. 5 Shchepakina, Elena Anatol’evna 4 Angoshtari, Arzhang 4 Antil, Harbir 4 Burenkov, Viktor Ivanovich 4 Pigola, Stefano 4 Romanovskii, N. N. 4 Valorani, Mauro 4 Veronelli, Giona 3 Badr, Nadine 3 Bei, Francesco 3 Chen, Long 3 Ding, Shusen 3 Goussis, Dimitris A. 3 Gutlyanskiĭ, Vladimir Ya. 3 Hurri-Syrjānen, Ritva 3 Kangasniemi, Ilmari 3 Kleprlík, Luděk 3 Liu, Yu 3 Pauly, Dirk 3 Ryazanov, Vladimir Il’ich 3 Salimov, Ruslan Radikovich 3 Sobolev, Vladimir A. 3 Yavari, Arash 3 Zinoviev, Ann 2 Adegbie, Kolawole Sunday 2 Ajadi, Suraju Olusegun 2 Algaba, Antonio 2 Banjai, Lehel 2 Borok, Sofia 2 Brøns, Morten 2 Chung, Kwok-Wai 2 Dovhopiatyi, Oleksandr Petrovych 2 Ferreira, Lucas Catão de Freitas 2 Fuica, Francisco 2 Furtado, Marcelo Fernandes 2 Gigli, Nicola 2 Guan, Xiaohong 2 Guo, Zongming 2 Guzmán, Johnny 2 Hakkarainen, Heikki 2 Hareli, Shlomo 2 Hencl, Stanislav 2 Jammes, Pierre 2 Kasue, Atsushi 2 Kazantzis, Nikolaos K. 2 Kiehl, Martin 2 Kinnunen, Juha 2 Krapivnik, N. 2 Kumbhakar, Manotosh 2 Kuzmenko, Grigory 2 Lebiedz, Dirk 2 Lehavi, Yaron 2 Lima, Barnabé Pessoa 2 Lukassen, Axel Ariaan 2 Maas, Ulrich 2 Melenk, Jens Markus 2 Menovschikov, Alexander 2 Molchanova, Anastasia Olegovna 2 Motreanu, Dumitru 2 Motreanu, Viorica Venera 2 Nesmelova, Ol’ga Vladimirovna 2 Onninen, Jani 2 Palencia, José Luis Díaz 2 Pasqualetto, Enrico 2 Qin, Bo-Wei 2 Quero, Daniel 2 Rankin, Richard 2 Rigoni, Chiara 2 Rodríguez-Luis, Alejandro J. 2 Russ, Emmanuel 2 Santos, Newton Luís 2 Sazhina, E. M. 2 Sequeira, Emiliano 2 Setti, Alberto G. 2 Shanmugalingam, Nageswari 2 Skvortsov, Sergei Aleksandrovich 2 Souto de Medeiros, Everaldo 2 Timoshin, Sergey A. 2 Vähäkangas, Antti V. 2 Wan, FangShu 2 Zhu, Zheng ...and 278 more Authors all top 5 Cited in 154 Serials 16 Journal of Mathematical Sciences (New York) 11 The Journal of Geometric Analysis 10 Journal of Mathematical Analysis and Applications 10 Siberian Mathematical Journal 8 Combustion Theory and Modelling 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Computers & Mathematics with Applications 5 Journal of Computational Physics 5 Mathematics of Computation 5 Mathematische Nachrichten 5 Complex Variables and Elliptic Equations 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Advances in Mathematics 4 Mathematische Zeitschrift 4 Numerische Mathematik 4 Physica D 4 Applied Mathematical Modelling 4 Potential Analysis 4 Calculus of Variations and Partial Differential Equations 4 Russian Journal of Mathematical Physics 4 Bulletin des Sciences Mathématiques 4 Analysis and Mathematical Physics 3 Archive for Rational Mechanics and Analysis 3 Journal of Engineering Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Computation 3 Journal of Functional Analysis 3 Manuscripta Mathematica 3 SIAM Journal on Control and Optimization 3 Transactions of the American Mathematical Society 3 Annals of Global Analysis and Geometry 3 St. Petersburg Mathematical Journal 3 Journal of Mathematical Chemistry 3 Communications in Nonlinear Science and Numerical Simulation 3 Foundations of Computational Mathematics 3 Mathematical Modelling of Natural Phenomena 3 Transactions of A. Razmadze Mathematical Institute 3 Annales Fennici Mathematici 2 Computer Methods in Applied Mechanics and Engineering 2 Israel Journal of Mathematics 2 Studia Mathematica 2 Journal of Geometry and Physics 2 Integral Equations and Operator Theory 2 Journal of Approximation Theory 2 Journal of Differential Equations 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Numerical Analysis 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Expositiones Mathematicae 2 SIAM Journal on Scientific Computing 2 Annales Mathématiques Blaise Pascal 2 Doklady Mathematics 2 Nonlinear Dynamics 2 Journal of Inequalities and Applications 2 Chaos 2 Lobachevskii Journal of Mathematics 2 Computational Methods and Function Theory 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 Analysis and Geometry in Metric Spaces 2 Nonlinear Analysis. Theory, Methods & Applications 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Nonlinearity 1 Wave Motion 1 Bulletin of Mathematical Biology 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 1 BIT 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Mathematika 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Ergodic Theory and Dynamical Systems 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Mathematica Hungarica 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Publicacions Matemàtiques 1 Journal of Scientific Computing 1 Differential Geometry and its Applications 1 Applications of Mathematics ...and 54 more Serials all top 5 Cited in 40 Fields 109 Partial differential equations (35-XX) 108 Functional analysis (46-XX) 67 Functions of a complex variable (30-XX) 49 Global analysis, analysis on manifolds (58-XX) 48 Numerical analysis (65-XX) 35 Differential geometry (53-XX) 31 Classical thermodynamics, heat transfer (80-XX) 28 Potential theory (31-XX) 27 Ordinary differential equations (34-XX) 25 Real functions (26-XX) 25 Fluid mechanics (76-XX) 24 Operator theory (47-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Biology and other natural sciences (92-XX) 13 Mechanics of deformable solids (74-XX) 9 Approximations and expansions (41-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Combinatorics (05-XX) 5 Measure and integration (28-XX) 5 Algebraic topology (55-XX) 5 Manifolds and cell complexes (57-XX) 5 Probability theory and stochastic processes (60-XX) 5 Optics, electromagnetic theory (78-XX) 4 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Integral equations (45-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year