Edit Profile (opens in new tab) Amann, Herbert Compute Distance To: Compute Author ID: amann.herbert Published as: Amann, Herbert; Amann, H. Homepage: https://www.math.uzh.ch/amann/ External Links: MGP · ORCID · Google Scholar · Math-Net.Ru · GND Documents Indexed: 147 Publications since 1967, including 17 Books 7 Contributions as Editor Biographic References: 3 Publications Co-Authors: 37 Co-Authors with 39 Joint Publications 1,394 Co-Co-Authors all top 5 Co-Authors 113 single-authored 11 Escher, Joachim 5 Quittner, Pavol 3 Zehnder, Eduard J. 2 Bandle, Catherine 2 Chipot, Michel 2 Conrad, Francis 2 Giga, Yoshikazu 2 Hieber, Matthias 2 Kozono, Hideo 2 Mancini, Giovanni 2 Okamoto, Hisashi 2 Shafrir, Itai 1 Ambrosetti, Antonio 1 Arendt, Wolfgang 1 Bart, Harm 1 Bazley, Norman W. 1 Crandall, Michael G. 1 Diaz Diaz, Jesus Ildefonso 1 Fila, Marek 1 Galdi, Giovanni Paolo 1 Helfrich, Hans-Peter 1 Kirchgässner, Klaus 1 Laetsch, Theodore 1 Lancaster, Peter 1 López-Gómez, Julián 1 Maroulas, John 1 Neubrander, Frank 1 Nicaise, Serge 1 Pileckas, Konstantin 1 Renardy, Michael 1 Simonett, Gieri 1 Solonnikov, Vsevolod Alekseevich 1 von Below, Joachim 1 Walker, Christoph 1 Weiss, Stanley A. 1 Yamazaki, Masao 1 Yamazaki, Masaso all top 5 Serials 8 Mathematische Zeitschrift 7 Archive for Rational Mechanics and Analysis 7 Grundstudium Mathematik 6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 5 Indiana University Mathematics Journal 4 Journal of Differential Equations 4 Journal of Functional Analysis 4 Journal of Evolution Equations 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Advances in Differential Equations 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Transactions of the American Mathematical Society 2 Differential and Integral Equations 2 Acta Mathematica Universitatis Comenianae. New Series 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Review 2 Journal of Mathematical Sciences (New York) 2 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 2 Monographs in Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Houston Journal of Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Russian Mathematical Surveys 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Commentationes Mathematicae Universitatis Carolinae 1 Conferenze del Seminario di Matematica dell’Università di Bari 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 SIAM Journal on Control and Optimization 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Delft Progress Report 1 Japan Journal of Industrial and Applied Mathematics 1 Aequationes Mathematicae 1 Elemente der Mathematik 1 Glasnik Matematički. Serija III 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Advances in Mathematical Sciences and Applications 1 NoDEA. Nonlinear Differential Equations and Applications 1 Functional Differential Equations 1 Journal of Mathematical Fluid Mechanics 1 Nonlinear Boundary Value Problems 1 Journal of Nonlinear Mathematical Physics 1 Advanced Nonlinear Studies 1 Journal of Mathematics and Mechanics 1 Birkhäuser Skripten 1 De Gruyter Studies in Mathematics 1 Jindřich Nečas Center for Mathematical Modeling Lecture Notes 1 Abhandlungen der Akademie der Wissenschaften der DDR 1 Journal of Elliptic and Parabolic Equations 1 Advances in Mathematical Fluid Mechanics all top 5 Fields 100 Partial differential equations (35-XX) 55 Operator theory (47-XX) 17 Ordinary differential equations (34-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Functional analysis (46-XX) 12 General and overarching topics; collections (00-XX) 11 Fluid mechanics (76-XX) 10 Real functions (26-XX) 5 Measure and integration (28-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Integral equations (45-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 General topology (54-XX) 3 Algebraic topology (55-XX) 3 Mechanics of particles and systems (70-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 5,413 times in 4,046 Documents Cited by ▼ Year ▼ Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0345.47044Amann, Herbert 976 1976 Linear and quasilinear parabolic problems. Vol. 1: Abstract linear theory. Zbl 0819.35001Amann, Herbert 409 1995 Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. Zbl 0810.35037Amann, Herbert 284 1993 Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems. Zbl 0729.35062Amann, Herbert 224 1990 Dynamic theory of quasilinear parabolic systems. III: Global existence. Zbl 0702.35125Amann, Herbert 198 1989 Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations. Zbl 0452.47077Amann, Herbert; Zehnder, E. 192 1980 A priori bounds and multiple solutions for superlinear indefinite elliptic problems. Zbl 0909.35044Amann, H.; López-Gómez, J. 128 1998 Parabolic evolution equations and nonlinear boundary conditions. Zbl 0658.34011Amann, Herbert 121 1988 On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030Amann, Herbert; Crandall, Michael G. 116 1978 On the number of solutions of nonlinear equations in ordered Banach spaces. Zbl 0244.47046Amann, Herbert 111 1972 On the strong solvability of the Navier-Stokes equations. Zbl 0989.35107Amann, Herbert 107 2000 Operator-valued Fourier multipliers, vector-valued Besov spaces, and applications. Zbl 0880.42007Amann, Herbert 103 1997 Saddle points and multiple solutions of differential equations. Zbl 0414.47042Amann, Herbert 103 1979 Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen. Zbl 0708.34002Amann, Herbert 99 1990 Dual semigroups and second order linear elliptic boundary value problems. Zbl 0535.35017Amann, Herbert 96 1983 Compact embeddings of vector-valued Sobolev and Besov spaces. Zbl 0997.46029Amann, Herbert 92 2000 On the existence of positive solutions of nonlinear elliptic boundary value problems. Zbl 0219.35037Amann, Herbert 88 1971 Periodic solutions of asymptotically linear Hamiltonian systems. Zbl 0443.70019Amann, Herbert; Zehnder, Eduard 77 1980 Invariant sets and existence theorems for semilinear parabolic and elliptic systems. Zbl 0387.35038Amann, Herbert 75 1978 Dynamic theory of quasilinear parabolic equations: Abstract evolution equations. Zbl 0666.35043Amann, Herbert 74 1988 Global existence for semilinear parabolic systems. Zbl 0564.35060Amann, Herbert 73 1985 Quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0596.35061Amann, Herbert 66 1986 A multiplicity result for a class of elliptic boundary value problems. Zbl 0416.35029Amann, Herbert; Hess, Peter 62 1979 Existence and regularity for semilinear parabolic evolution equations. Zbl 0625.35045Amann, Herbert 59 1984 Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities. Zbl 0368.35032Amann, Herbert; Ambrosetti, Antonio; Mancini, Giovanni 58 1978 Existence and multiplicity theorems for semi-linear elliptic boundary value problems. Zbl 0331.35026Amann, Herbert 52 1976 Quasilinear evolution equations and parabolic systems. Zbl 0635.47056Amann, Herbert 51 1986 Maximal regularity for nonautonomous evolution equations. Zbl 1072.35103Amann, H. 51 2004 A note on degree theory for gradient mappings. Zbl 0501.58012Amann, Herbert 49 1982 Multiple solutions for nonlinear elliptic boundary value problems. Zbl 0222.35023Amann, Herbert 44 1972 Bounded \(H_ \infty\)-calculus for elliptic operators. Zbl 0799.35060Amann, Herbert; Hieber, Matthias; Simonett, Gieri 44 1994 On the existence of positive solutions of nonlinear elliptic boundary value problems. Zbl 0209.13002Amann, Herbert 42 1971 Multiple positive fixed points of asymptotically linear maps. Zbl 0287.47037Amann, Herbert 42 1974 On abstract parabolic fundamental solutions. Zbl 0616.47032Amann, Herbert 34 1987 Supersolutions, monotone iterations, and stability. Zbl 0319.35039Amann, Herbert 32 1976 Periodic solutions of semilinear parabolic equations. Zbl 0464.35050Amann, Herbert 32 1978 Anisotropic function spaces and maximal regularity for parabolic problems. Part 1: Function spaces. Zbl 1216.35001Amann, Herbert 31 2009 Ljusternik-Schnirelman theory and non-linear eigenvalue problems. Zbl 0233.47049Amann, Herbert 28 1972 Quasilinear parabolic problems via maximal regularity. Zbl 1103.35059Amann, Herbert 27 2005 Function spaces on singular manifolds. Zbl 1280.46022Amann, H. 27 2013 Maximum principles and principal eigenvalues. Zbl 1090.35090Amann, H. 26 2005 Fixed points of asymptotically linear maps in ordered Banach spaces. Zbl 0263.47043Amann, Herbert 25 1973 A Fujita-type theorem for the Laplace equation with a dynamical boundary condition. Zbl 0922.35053Amann, H.; Fila, M. 24 1997 Nonhomogeneous Navier–Stokes equations with integrable low-regularity data. Zbl 1201.76038Amann, Herbert 24 2002 On the uniqueness of the topological degree. Zbl 0249.55004Amann, Herbert; Weiss, Stanley A. 22 1973 Multiple periodic solutions for a class of nonlinear autonomous wave equations. Zbl 0481.35061Amann, Herbert; Zehnder, E. 22 1981 Strongly continuous dual semigroups. Zbl 0892.47038Amann, Herbert; Escher, Joachim 21 1996 Navier-Stokes equations with nonhomogeneous Dirichlet data. Zbl 1362.35205Amann, Herbert 21 2003 Nonlinear eigenvalue problems having precisely two solutions. Zbl 0329.35027Amann, Herbert 20 1976 Semilinear parabolic equations involving measures and low regularity data. Zbl 1072.35094Amann, H.; Quittner, P. 20 2004 Time-delayed Perona-Malik type problems. Zbl 1132.68067Amann, Herbert 20 2007 Ein Existenz- und Eindeutigkeitssatz für die Hammersteinsche Gleichung in Banachräumen. Zbl 0176.45604Amann, Herbert 20 1969 Ordinary differential equations. 2., überarb. Aufl. (Gewöhnliche Differentialgleichungen.) Zbl 0823.34001Amann, Herbert 19 1995 Parabolic evolution equations in interpolation and extrapolation spaces. Zbl 0654.47019Amann, Herbert 19 1988 Coagulation-fragmentation processes. Zbl 0977.35060Amann, Herbert 19 2000 Multiplication in Sobolev and Besov spaces. Zbl 0894.46026Amann, Herbert 18 1991 Linear parabolic problems involving measures. Zbl 1018.35049Amann, H. 18 2001 Hopf bifurcation in quasilinear reaction-diffusion systems. Zbl 0780.35051Amann, Herbert 17 1991 Semigroups and nonlinear evolution equations. Zbl 0624.35047Amann, Herbert 17 1986 On the unique solvability of semi-linear operator equations in Hilbert spaces. Zbl 0501.47024Amann, Herbert 17 1982 Existence and stability of solutions for semi-linear parabolic systems, and applications to some diffusion reaction equations. Zbl 0406.35038Amann, Herbert 17 1978 Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion. Zbl 1082.35083Amann, Herbert; Walker, Christoph 17 2005 Elliptic operators with infinite-dimensional state spaces. Zbl 1018.35023Amann, Herbert 15 2001 Existence theorems for equations of Hammerstein type. Zbl 0244.47047Amann, Herbert 15 1973 Some applications of monotone operator theory to resonance problems. Zbl 0418.47028Amann, Herbert; Mancini, Giovanni 15 1979 Uniformly regular and singular Riemannian manifolds. Zbl 1345.58004Amann, Herbert 15 2015 Linear and quasilinear parabolic problems. Volume II: Function spaces. Zbl 1448.46004Amann, Herbert 14 2019 Nonautonomous parabolic equations involving measures. Zbl 1159.35386Amann, H. 14 2005 Highly degenerate quasilinear parabolic systems. Zbl 0738.35029Amann, Herbert 13 1991 On the number of solutions of asymptotically superlinear two point boundary value problems. Zbl 0294.34008Amann, Herbert 13 1974 Positive solutions of convex nonlinear eigenvalue problems. Zbl 0329.35028Amann, Herbert; Laetsch, Theodore 13 1976 Stability of the rest state of a viscous incompressible fluid. Zbl 0820.76033Amann, Herbert 12 1994 Nonlinear elliptic equations with nonlinear boundary conditions. Zbl 0345.35045Amann, Herbert 12 1976 Über die Existenz und iterative Berechnung einer Lösung der Hammersteinschen Gleichung. Zbl 0165.13701Amann, Herbert 12 1968 Zum Galerkin-Verfahren für die Hammersteinsche Gleichung. Zbl 0186.20902Amann, Herbert 11 1969 Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems. Zbl 1411.58010Amann, Herbert 11 2016 A note on the dynamics of an oscillator in the presence of strong friction. Zbl 1035.34023Amann, H.; Diaz, J. I. 10 2003 Abstract methods in differential equations. Zbl 1064.35096Amann, H. 10 2003 Elliptic boundary value problems involving measures: Existence, regularity, and multiplicity. Zbl 0954.35071Amann, Herbert; Quittner, Pavol 10 1998 Analysis II. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1146.26001Amann, Herbert; Escher, Joachim 9 2008 Maximal regularity and quasilinear parabolic boundary value problems. Zbl 1144.35034Amann, Herbert 9 2005 Erratum: “Dynamic theory of quasilinear parabolic systems. III: Global existence”. Zbl 0719.35044Amann, Herbert 8 1990 Analysis III. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1187.28001Amann, Herbert; Escher, Joachim 8 2009 A uniqueness theorem for nonlinear elliptic boundary value problems. Zbl 0225.35041Amann, Herbert 7 1972 Reaction-diffusion problems in electrolysis. Zbl 0831.35153Amann, Herbert; Renardy, Michael 7 1994 Cauchy problems for parabolic equations in Sobolev-Slobodeckii and Hölder spaces on uniformly regular Riemannian manifolds. Zbl 1366.35072Amann, Herbert 7 2017 Quasilinear parabolic functional evolution equations. Zbl 1144.35426Amann, Herbert 7 2006 Parabolic evolution equations with nonlinear boundary conditions. Zbl 0611.35043Amann, Herbert 6 1986 Errata: Fixed point theorems and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0375.47026Amann, Herbert 6 1977 A nodal theorem for coupled systems of Schrödinger equations and the number of bound states. Zbl 0842.34085Amann, Herbert; Quittner, Pavol 6 1995 Über die Konvergenzgeschwindigkeit des GalerkinVerfahrens für die Hammersteinsche Gleichung. Zbl 0242.49029Amann, Herbert 6 1970 Analysis II. 2nd corrected ed. Zbl 1097.26001Amann, Herbert; Escher, Joachim 6 2006 Non-local quasi-linear parabolic equations. Zbl 1160.35300Amann, H. 6 2005 Global existence for a class of highly degenerate parabolic systems. Zbl 0735.35080Amann, Herbert 5 1991 Nonlinear operators in ordered Banach spaces and some applications to nonlinear boundary value problems. Zbl 0345.47045Amann, Herbert 5 1976 On a quasilinear coagulation-fragmentation model with diffusion. Zbl 0984.76092Amann, Herbert; Weber, Frank 4 2001 Analysis I. Transl. from the German by Gary Brookfield. Zbl 1097.26002Amann, Herbert; Escher, Joachim 4 2005 Analysis I. 3rd ed. Zbl 1102.26001Amann, Herbert; Escher, Joachim 4 2006 Optimal control problems governed by semilinear parabolic equations with low regularity data. Zbl 1106.49005Amann, H.; Quittner, P. 4 2006 Analysis III. Zbl 0995.26001Amann, Herbert; Escher, Joachim 4 2001 Linear parabolic equations with strong boundary degeneration. Zbl 1443.35083Amann, Herbert 2 2020 Linear and quasilinear parabolic problems. Volume II: Function spaces. Zbl 1448.46004Amann, Herbert 14 2019 Cauchy problems for parabolic equations in Sobolev-Slobodeckii and Hölder spaces on uniformly regular Riemannian manifolds. Zbl 1366.35072Amann, Herbert 7 2017 Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems. Zbl 1411.58010Amann, Herbert 11 2016 The work of Yoshihiro Shibata. Zbl 1337.01007Amann, Herbert; Giga, Yoshikazu; Okamoto, Hisashi; Kozono, Hideo; Yamazaki, Masaso 1 2016 Uniformly regular and singular Riemannian manifolds. Zbl 1345.58004Amann, Herbert 15 2015 Function spaces on singular manifolds. Zbl 1280.46022Amann, H. 27 2013 Anisotropic function spaces and maximal regularity for parabolic problems. Part 1: Function spaces. Zbl 1216.35001Amann, Herbert 31 2009 Analysis III. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1187.28001Amann, Herbert; Escher, Joachim 8 2009 Analysis II. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1146.26001Amann, Herbert; Escher, Joachim 9 2008 Analysis III. 2nd ed. Zbl 1210.26001Amann, Herbert; Escher, Joachim 3 2008 Functional analysis and evolution equations. The Günter Lumer volume. Zbl 1131.46001 1 2008 Time-delayed Perona-Malik type problems. Zbl 1132.68067Amann, Herbert 20 2007 Quasilinear parabolic functional evolution equations. Zbl 1144.35426Amann, Herbert 7 2006 Analysis II. 2nd corrected ed. Zbl 1097.26001Amann, Herbert; Escher, Joachim 6 2006 Analysis I. 3rd ed. Zbl 1102.26001Amann, Herbert; Escher, Joachim 4 2006 Optimal control problems governed by semilinear parabolic equations with low regularity data. Zbl 1106.49005Amann, H.; Quittner, P. 4 2006 Quasilinear parabolic problems via maximal regularity. Zbl 1103.35059Amann, Herbert 27 2005 Maximum principles and principal eigenvalues. Zbl 1090.35090Amann, H. 26 2005 Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion. Zbl 1082.35083Amann, Herbert; Walker, Christoph 17 2005 Nonautonomous parabolic equations involving measures. Zbl 1159.35386Amann, H. 14 2005 Maximal regularity and quasilinear parabolic boundary value problems. Zbl 1144.35034Amann, Herbert 9 2005 Non-local quasi-linear parabolic equations. Zbl 1160.35300Amann, H. 6 2005 Analysis I. Transl. from the German by Gary Brookfield. Zbl 1097.26002Amann, Herbert; Escher, Joachim 4 2005 Optimal control problems with final observation governed by explosive paarabolic equations. Zbl 1110.49004Amann, H.; Quittner, P. 3 2005 Maximal regularity for nonautonomous evolution equations. Zbl 1072.35103Amann, H. 51 2004 Semilinear parabolic equations involving measures and low regularity data. Zbl 1072.35094Amann, H.; Quittner, P. 20 2004 Navier-Stokes equations with nonhomogeneous Dirichlet data. Zbl 1362.35205Amann, Herbert 21 2003 A note on the dynamics of an oscillator in the presence of strong friction. Zbl 1035.34023Amann, H.; Diaz, J. I. 10 2003 Abstract methods in differential equations. Zbl 1064.35096Amann, H. 10 2003 Linear parabolic equations with singular potentials. Zbl 1036.35066Amann, Herbert 2 2003 Nonhomogeneous Navier–Stokes equations with integrable low-regularity data. Zbl 1201.76038Amann, Herbert 24 2002 Nonhomogeneous Navier-Stokes equations in spaces of low regularity. Zbl 1330.35286Amann, Herbert 1 2002 Linear parabolic problems involving measures. Zbl 1018.35049Amann, H. 18 2001 Elliptic operators with infinite-dimensional state spaces. Zbl 1018.35023Amann, Herbert 15 2001 On a quasilinear coagulation-fragmentation model with diffusion. Zbl 0984.76092Amann, Herbert; Weber, Frank 4 2001 Analysis III. Zbl 0995.26001Amann, Herbert; Escher, Joachim 4 2001 Remarks on the strong solvability of the Navier-Stokes equations. Zbl 1060.35102Amann, H. 1 2001 On the strong solvability of the Navier-Stokes equations. Zbl 0989.35107Amann, Herbert 107 2000 Compact embeddings of vector-valued Sobolev and Besov spaces. Zbl 0997.46029Amann, Herbert 92 2000 Coagulation-fragmentation processes. Zbl 0977.35060Amann, Herbert 19 2000 Analysis II. Zbl 0940.26001Amann, Herbert; Escher, Joachim 2 1999 A priori bounds and multiple solutions for superlinear indefinite elliptic problems. Zbl 0909.35044Amann, H.; López-Gómez, J. 128 1998 Elliptic boundary value problems involving measures: Existence, regularity, and multiplicity. Zbl 0954.35071Amann, Herbert; Quittner, Pavol 10 1998 Operator-valued Fourier multipliers, vector-valued Besov spaces, and applications. Zbl 0880.42007Amann, Herbert 103 1997 A Fujita-type theorem for the Laplace equation with a dynamical boundary condition. Zbl 0922.35053Amann, H.; Fila, M. 24 1997 Strongly continuous dual semigroups. Zbl 0892.47038Amann, Herbert; Escher, Joachim 21 1996 Stability and bifurcation in viscous incompressible fluids. Zbl 0963.76541Amann, H. 2 1996 Linear and quasilinear parabolic problems. Vol. 1: Abstract linear theory. Zbl 0819.35001Amann, Herbert 409 1995 Ordinary differential equations. 2., überarb. Aufl. (Gewöhnliche Differentialgleichungen.) Zbl 0823.34001Amann, Herbert 19 1995 A nodal theorem for coupled systems of Schrödinger equations and the number of bound states. Zbl 0842.34085Amann, Herbert; Quittner, Pavol 6 1995 Heat-conducting incompressible viscous fluids. Zbl 0847.35105Amann, Herbert 2 1995 Bounded \(H_ \infty\)-calculus for elliptic operators. Zbl 0799.35060Amann, Herbert; Hieber, Matthias; Simonett, Gieri 44 1994 Stability of the rest state of a viscous incompressible fluid. Zbl 0820.76033Amann, Herbert 12 1994 Reaction-diffusion problems in electrolysis. Zbl 0831.35153Amann, Herbert; Renardy, Michael 7 1994 Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. Zbl 0810.35037Amann, Herbert 284 1993 Multiplication in Sobolev and Besov spaces. Zbl 0894.46026Amann, Herbert 18 1991 Hopf bifurcation in quasilinear reaction-diffusion systems. Zbl 0780.35051Amann, Herbert 17 1991 Highly degenerate quasilinear parabolic systems. Zbl 0738.35029Amann, Herbert 13 1991 Global existence for a class of highly degenerate parabolic systems. Zbl 0735.35080Amann, Herbert 5 1991 Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems. Zbl 0729.35062Amann, Herbert 224 1990 Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen. Zbl 0708.34002Amann, Herbert 99 1990 Erratum: “Dynamic theory of quasilinear parabolic systems. III: Global existence”. Zbl 0719.35044Amann, Herbert 8 1990 Dynamic theory of quasilinear parabolic systems. III: Global existence. Zbl 0702.35125Amann, Herbert 198 1989 Feedback stabilization of linear and semilinear parabolic systems. Zbl 0686.35058Amann, Herbert 2 1989 Remarks on quasilinear parabolic systems. Zbl 0675.35055Amann, Herbert 1 1989 Parabolic evolution equations and nonlinear boundary conditions. Zbl 0658.34011Amann, Herbert 121 1988 Dynamic theory of quasilinear parabolic equations: Abstract evolution equations. Zbl 0666.35043Amann, Herbert 74 1988 Parabolic evolution equations in interpolation and extrapolation spaces. Zbl 0654.47019Amann, Herbert 19 1988 On abstract parabolic fundamental solutions. Zbl 0616.47032Amann, Herbert 34 1987 Semilinear parabolic systems under nonlinear boundary conditions. Zbl 0664.35047Amann, Herbert 1 1987 Quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0596.35061Amann, Herbert 66 1986 Quasilinear evolution equations and parabolic systems. Zbl 0635.47056Amann, Herbert 51 1986 Semigroups and nonlinear evolution equations. Zbl 0624.35047Amann, Herbert 17 1986 Parabolic evolution equations with nonlinear boundary conditions. Zbl 0611.35043Amann, Herbert 6 1986 Global existence for semilinear parabolic systems. Zbl 0564.35060Amann, Herbert 73 1985 Semilinear parabolic systems. Zbl 0576.35067Amann, Herbert 1 1985 Existence and regularity for semilinear parabolic evolution equations. Zbl 0625.35045Amann, Herbert 59 1984 Periodic solutions of Hamiltonian systems. Zbl 0571.70016Amann, Herbert 2 1984 Dual semigroups and second order linear elliptic boundary value problems. Zbl 0535.35017Amann, Herbert 96 1983 A note on degree theory for gradient mappings. Zbl 0501.58012Amann, Herbert 49 1982 On the unique solvability of semi-linear operator equations in Hilbert spaces. Zbl 0501.47024Amann, Herbert 17 1982 Multiple periodic solutions for a class of nonlinear autonomous wave equations. Zbl 0481.35061Amann, Herbert; Zehnder, E. 22 1981 Multiple periodic solutions of autonomous Hamiltonian systems. Zbl 0459.34024Amann, Herbert 1 1981 Saddle points and multiple solutions of nonlinear differential equations. Zbl 0462.35038Amann, Herbert 1 1981 Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations. Zbl 0452.47077Amann, Herbert; Zehnder, E. 192 1980 Periodic solutions of asymptotically linear Hamiltonian systems. Zbl 0443.70019Amann, Herbert; Zehnder, Eduard 77 1980 Saddle points and multiple solutions of differential equations. Zbl 0414.47042Amann, Herbert 103 1979 A multiplicity result for a class of elliptic boundary value problems. Zbl 0416.35029Amann, Herbert; Hess, Peter 62 1979 Some applications of monotone operator theory to resonance problems. Zbl 0418.47028Amann, Herbert; Mancini, Giovanni 15 1979 Invariant sets for semilinear parabolic and elliptic systems. Zbl 0404.35060Amann, Herbert 1 1979 On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030Amann, Herbert; Crandall, Michael G. 116 1978 Invariant sets and existence theorems for semilinear parabolic and elliptic systems. Zbl 0387.35038Amann, Herbert 75 1978 Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities. Zbl 0368.35032Amann, Herbert; Ambrosetti, Antonio; Mancini, Giovanni 58 1978 Periodic solutions of semilinear parabolic equations. Zbl 0464.35050Amann, Herbert 32 1978 Existence and stability of solutions for semi-linear parabolic systems, and applications to some diffusion reaction equations. Zbl 0406.35038Amann, Herbert 17 1978 Errata: Fixed point theorems and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0375.47026Amann, Herbert 6 1977 Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0345.47044Amann, Herbert 976 1976 Existence and multiplicity theorems for semi-linear elliptic boundary value problems. Zbl 0331.35026Amann, Herbert 52 1976 Supersolutions, monotone iterations, and stability. Zbl 0319.35039Amann, Herbert 32 1976 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,638 Authors 57 López-Gómez, Julián 51 Amann, Herbert 43 Shakhmurov, Veli B. 32 Escher, Joachim 30 Rodríguez-Bernal, Aníbal 29 Papageorgiou, Nikolaos S. 28 Walker, Christoph 28 Winkler, Michael 27 Laurençot, Philippe 26 Shivaji, Ratnasingham 25 Dancer, Edward Norman 22 Farwig, Reinhard 22 Infante, Gennaro 21 Hieber, Matthias 21 Zanolin, Fabio 20 Lan, Kunquan 20 Suárez, Antonio 20 Sun, Jingxian 20 Wang, Mingxin 19 Omari, Pierpaolo 18 Le, Dung 18 O’Regan, Donal 17 Cholewa, Jan W. 17 Cosner, Chris 17 Henderson, Johnny Lee 17 Pyatkov, Sergeĭ Grigor’evich 17 Rehberg, Joachim 17 Umezu, Kenichiro 17 Veraar, Mark C. 16 Clément, Philippe J. E. 16 Jüngel, Ansgar 16 Lizama, Carlos 16 Matioc, Bogdan-Vasile 15 Abels, Helmut 15 Agarwal, Ravi P. 15 Sweers, Guido H. 15 Taira, Kazuaki 15 Xu, Xian 14 Afrouzi, Ghasem Alizadeh 14 Cantrell, Robert Stephen 14 García-Melián, Jorge 14 Ma, Ruyun 14 Prüß, Jan Wilhelm 14 Shi, Junping 13 Brown, Kenneth J. 13 Delgado, Manuel 13 Lazer, Alan C. 13 Mawhin, Jean L. 13 McKenna, Patrick Joseph 13 Nolasco de Carvalho, Alexandre 13 Simonett, Gieri 13 Wang, Zhian 13 Zhang, Zhitao 12 Denk, Robert 12 Du, Yihong 12 Guidotti, Patrick Q. 12 Kozono, Hideo 12 Luca, Rodica 12 Pao, Chia-Ven 12 Roidos, Nikolaos 12 Schmitt, Klaus 12 Smith, Hal Leslie 11 Cano-Casanova, Santiago 11 Chen, Pengyu 11 Feltrin, Guglielmo 11 Li, Shujie 11 Liu, Lishan 11 Obaya, Rafael 11 Pietramala, Paolamaria 11 Rossi, Julio Daniel 11 Schnaubelt, Roland 11 Shao, Yuanzhen 11 Shimizu, Senjo 11 Zhao, Xiao-Qiang 10 Cabada, Alberto 10 Feireisl, Eduard 10 Fonda, Alessandro 10 Fu, Shengmao 10 Hofer, Helmut H. W. 10 Lions, Pierre-Louis 10 Mu, Chunlai 10 Petryshyn, Walter Wolodymyr 10 Ramos Quoirin, Humberto 10 Shibata, Yoshihiro 10 Sohr, Hermann 10 Su, Jiabao 10 Wrzosek, Dariusz M. 10 Wu, Yonghong 10 Yang, Zuodong 10 Zheng, Sining 9 Ambrosetti, Antonio 9 Arrieta, José M. 9 Berestycki, Henri 9 Boscaggin, Alberto 9 Cuevas, Claudio 9 Guedes de Figueiredo, Djairo 9 Desvillettes, Laurent 9 Dlotko, Tomasz W. 9 Fan, Jishan 9 Fellner, Klemens ...and 3,538 more Authors all top 5 Cited in 413 Serials 377 Journal of Differential Equations 340 Journal of Mathematical Analysis and Applications 244 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 203 Nonlinear Analysis. Theory, Methods & Applications 89 Nonlinear Analysis. Real World Applications 81 Journal of Evolution Equations 62 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 56 Applied Mathematics and Computation 55 Annali di Matematica Pura ed Applicata. Serie Quarta 55 Transactions of the American Mathematical Society 53 Archive for Rational Mechanics and Analysis 53 Boundary Value Problems 50 Proceedings of the American Mathematical Society 49 Applied Mathematics Letters 48 Discrete and Continuous Dynamical Systems. Series B 47 Journal of Functional Analysis 47 Discrete and Continuous Dynamical Systems 45 Mathematische Annalen 44 Computers & Mathematics with Applications 41 Applicable Analysis 41 Mathematische Zeitschrift 40 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 39 NoDEA. Nonlinear Differential Equations and Applications 37 Communications in Partial Differential Equations 37 Calculus of Variations and Partial Differential Equations 34 ZAMP. Zeitschrift für angewandte Mathematik und Physik 34 Advanced Nonlinear Studies 33 Mathematical Methods in the Applied Sciences 30 Mathematische Nachrichten 29 SIAM Journal on Mathematical Analysis 29 Abstract and Applied Analysis 26 Journal of Dynamics and Differential Equations 25 Journal of Mathematical Fluid Mechanics 24 Journal of Mathematical Biology 24 Journal of Computational and Applied Mathematics 23 Acta Applicandae Mathematicae 23 Communications on Pure and Applied Analysis 22 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 22 Numerische Mathematik 21 Rocky Mountain Journal of Mathematics 20 Acta Mathematica Sinica. English Series 19 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 18 Discrete and Continuous Dynamical Systems. Series S 17 Integral Equations and Operator Theory 17 Monatshefte für Mathematik 17 Mathematical and Computer Modelling 17 Advances in Difference Equations 17 Journal of Fixed Point Theory and Applications 16 Journal of Mathematical Physics 16 Nonlinearity 16 Manuscripta Mathematica 16 Mediterranean Journal of Mathematics 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Journal of Mathematical Sciences (New York) 15 Positivity 13 Czechoslovak Mathematical Journal 13 Topological Methods in Nonlinear Analysis 12 Israel Journal of Mathematics 12 Mathematics of Computation 12 Applied Mathematics and Optimization 12 Electronic Journal of Differential Equations (EJDE) 12 Journal of Inequalities and Applications 11 Bulletin of the Australian Mathematical Society 11 Communications in Mathematical Physics 11 Numerical Functional Analysis and Optimization 11 Chinese Annals of Mathematics. Series B 11 Potential Analysis 11 Fixed Point Theory and Applications 11 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 10 Archiv der Mathematik 10 Results in Mathematics 10 Semigroup Forum 10 SIAM Journal on Control and Optimization 10 Zeitschrift für Analysis und ihre Anwendungen 10 Acta Mathematicae Applicatae Sinica. English Series 10 Journal of Integral Equations and Applications 10 The Journal of Fourier Analysis and Applications 10 Complex Variables and Elliptic Equations 10 Advances in Nonlinear Analysis 9 Journal d’Analyse Mathématique 9 Stochastic Analysis and Applications 9 Acta Mathematica Sinica. New Series 9 Communications in Nonlinear Science and Numerical Simulation 9 Differential Equations 9 SIAM Journal on Applied Dynamical Systems 9 Mathematical Modelling of Natural Phenomena 9 Evolution Equations and Control Theory 9 Journal of Elliptic and Parabolic Equations 8 Annales Mathématiques Blaise Pascal 8 Journal of Difference Equations and Applications 8 Science China. Mathematics 7 Advances in Mathematics 7 International Journal of Mathematics and Mathematical Sciences 7 Inventiones Mathematicae 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Rendiconti del Seminario Matematico della Università di Padova 7 Siberian Mathematical Journal 7 Applied Mathematics and Mechanics. (English Edition) 7 Journal of Nonlinear Science ...and 313 more Serials all top 5 Cited in 55 Fields 2,851 Partial differential equations (35-XX) 817 Operator theory (47-XX) 720 Ordinary differential equations (34-XX) 649 Biology and other natural sciences (92-XX) 278 Fluid mechanics (76-XX) 261 Dynamical systems and ergodic theory (37-XX) 245 Global analysis, analysis on manifolds (58-XX) 202 Numerical analysis (65-XX) 163 Calculus of variations and optimal control; optimization (49-XX) 146 Integral equations (45-XX) 141 Functional analysis (46-XX) 116 Probability theory and stochastic processes (60-XX) 79 Mechanics of deformable solids (74-XX) 70 Statistical mechanics, structure of matter (82-XX) 66 Harmonic analysis on Euclidean spaces (42-XX) 63 Differential geometry (53-XX) 62 Systems theory; control (93-XX) 58 Classical thermodynamics, heat transfer (80-XX) 46 Mechanics of particles and systems (70-XX) 45 Difference and functional equations (39-XX) 42 Algebraic topology (55-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Real functions (26-XX) 25 General topology (54-XX) 24 Operations research, mathematical programming (90-XX) 18 Quantum theory (81-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 15 Optics, electromagnetic theory (78-XX) 13 Computer science (68-XX) 11 Potential theory (31-XX) 11 Geophysics (86-XX) 11 Information and communication theory, circuits (94-XX) 8 Approximations and expansions (41-XX) 7 Measure and integration (28-XX) 7 Abstract harmonic analysis (43-XX) 7 Manifolds and cell complexes (57-XX) 6 Topological groups, Lie groups (22-XX) 6 Relativity and gravitational theory (83-XX) 5 General and overarching topics; collections (00-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Integral transforms, operational calculus (44-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Statistics (62-XX) 4 Astronomy and astrophysics (85-XX) 3 Number theory (11-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Convex and discrete geometry (52-XX) 2 Functions of a complex variable (30-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX) Citations by Year