Edit Profile Amann, Herbert Compute Distance To: Compute Author ID: amann.herbert Published as: Amann, H.; Amann, Herbert Homepage: https://www.math.uzh.ch/amann/ External Links: MGP · Math-Net.Ru · ORCID · GND Documents Indexed: 152 Publications since 1967, including 23 Books Biographic References: 3 Publications all top 5 Co-Authors 112 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 Bazley, Norman W. 1 Crandall, Michael G. 1 Diaz Diaz, Jesus Ildefonso 1 Fila, Marek 1 Galdi, Giovanni Paolo 1 Helfrich, Hans-Peter 1 Hess, Peter O. 1 Kirchgässner, Klaus 1 Laetsch, Theodore 1 López-Gómez, Julián 1 Neubrander, Frank 1 Nicaise, Serge 1 Pileckas, Konstantin 1 Renardy, Michael 1 Scholz, Reinhard 1 Simonett, Gieri 1 Solonnikov, Vsevolod Alekseevich 1 von Below, Joachim 1 Walker, Christoph 1 Weber, Frank M. 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 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Advances in Differential Equations 3 Journal of Evolution 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 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 99 Partial differential equations (35-XX) 54 Operator theory (47-XX) 17 Ordinary differential equations (34-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Functional analysis (46-XX) 11 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 124 Publications have been cited 5,293 times in 3,906 Documents Cited by ▼ Year ▼ Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0345.47044Amann, Herbert 930 1976 Linear and quasilinear parabolic problems. Vol. 1: Abstract linear theory. Zbl 0819.35001Amann, Herbert 467 1995 Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. Zbl 0810.35037Amann, Herbert 245 1993 Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems. Zbl 0729.35062Amann, Herbert 196 1990 Dynamic theory of quasilinear parabolic systems. III: Global existence. Zbl 0702.35125Amann, Herbert 186 1989 Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations. Zbl 0452.47077Amann, Herbert; Zehnder, E. 186 1980 Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen. Zbl 0708.34002Amann, Herbert 139 1990 Parabolic evolution equations and nonlinear boundary conditions. Zbl 0658.34011Amann, Herbert 120 1988 A priori bounds and multiple solutions for superlinear indefinite elliptic problems. Zbl 0909.35044Amann, H.; López-Gómez, J. 116 1998 On the existence of positive solutions of nonlinear elliptic boundary value problems. Zbl 0219.35037Amann, Herbert 116 1971 On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030Amann, Herbert; Crandall, Michael G. 107 1978 On the number of solutions of nonlinear equations in ordered Banach spaces. Zbl 0244.47046Amann, Herbert 102 1972 Saddle points and multiple solutions of differential equations. Zbl 0414.47042Amann, Herbert 101 1979 On the strong solvability of the Navier-Stokes equations. Zbl 0989.35107Amann, Herbert 93 2000 Operator-valued Fourier multipliers, vector-valued Besov spaces, and applications. Zbl 0880.42007Amann, Herbert 93 1997 Dual semigroups and second order linear elliptic boundary value problems. Zbl 0535.35017Amann, Herbert 88 1983 Periodic solutions of asymptotically linear Hamiltonian systems. Zbl 0443.70019Amann, Herbert; Zehnder, Eduard 76 1980 Invariant sets and existence theorems for semilinear parabolic and elliptic systems. Zbl 0387.35038Amann, Herbert 75 1978 Compact embeddings of vector-valued Sobolev and Besov spaces. Zbl 0997.46029Amann, Herbert 73 2000 Global existence for semilinear parabolic systems. Zbl 0564.35060Amann, Herbert 72 1985 Dynamic theory of quasilinear parabolic equations: Abstract evolution equations. Zbl 0666.35043Amann, Herbert 68 1988 Quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0596.35061Amann, Herbert 64 1986 A multiplicity result for a class of elliptic boundary value problems. Zbl 0416.35029Amann, Herbert; Hess, Peter 61 1979 Periodic solutions of semilinear parabolic equations. Zbl 0464.35050Amann, Herbert 57 1978 Existence and regularity for semilinear parabolic evolution equations. Zbl 0625.35045Amann, Herbert 56 1984 Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities. Zbl 0368.35032Amann, Herbert; Ambrosetti, Antonio; Mancini, Giovanni 54 1978 A note on degree theory for gradient mappings. Zbl 0501.58012Amann, Herbert 51 1982 Existence and multiplicity theorems for semi-linear elliptic boundary value problems. Zbl 0331.35026Amann, Herbert 49 1976 Quasilinear evolution equations and parabolic systems. Zbl 0635.47056Amann, Herbert 48 1986 Maximal regularity for nonautonomous evolution equations. Zbl 1072.35103Amann, H. 44 2004 Multiple positive fixed points of asymptotically linear maps. Zbl 0287.47037Amann, Herbert 44 1974 Multiple solutions for nonlinear elliptic boundary value problems. Zbl 0222.35023Amann, Herbert 43 1972 On the existence of positive solutions of nonlinear elliptic boundary value problems. Zbl 0209.13002Amann, Herbert 41 1971 Bounded \(H_ \infty\)-calculus for elliptic operators. Zbl 0799.35060Amann, Herbert; Hieber, Matthias; Simonett, Gieri 38 1994 Supersolutions, monotone iterations, and stability. Zbl 0319.35039Amann, Herbert 37 1976 On abstract parabolic fundamental solutions. Zbl 0616.47032Amann, Herbert 33 1987 Ljusternik-Schnirelman theory and non-linear eigenvalue problems. Zbl 0233.47049Amann, Herbert 33 1972 Anisotropic function spaces and maximal regularity for parabolic problems. Part 1: Function spaces. Zbl 1216.35001Amann, Herbert 27 2009 Quasilinear parabolic problems via maximal regularity. Zbl 1103.35059Amann, Herbert 26 2005 Function spaces on singular manifolds. Zbl 1280.46022Amann, H. 24 2013 Maximum principles and principal eigenvalues. Zbl 1090.35090Amann, H. 24 2005 Nonhomogeneous Navier–Stokes equations with integrable low-regularity data. Zbl 1201.76038Amann, Herbert 24 2002 A Fujita-type theorem for the Laplace equation with a dynamical boundary condition. Zbl 0922.35053Amann, H.; Fila, M. 23 1997 Multiple periodic solutions for a class of nonlinear autonomous wave equations. Zbl 0481.35061Amann, Herbert; Zehnder, E. 23 1981 Fixed points of asymptotically linear maps in ordered Banach spaces. Zbl 0263.47043Amann, Herbert 23 1973 Nonlinear elliptic equations with nonlinear boundary conditions. Zbl 0345.35045Amann, Herbert 21 1976 On the uniqueness of the topological degree. Zbl 0249.55004Amann, Herbert; Weiss, Stanley A. 21 1973 Ordinary differential equations. 2., überarb. Aufl. Zbl 0823.34001Amann, Herbert 20 1995 Ein Existenz- und Eindeutigkeitssatz für die Hammersteinsche Gleichung in Banachräumen. Zbl 0176.45604Amann, Herbert 20 1969 Semilinear parabolic equations involving measures and low regularity data. Zbl 1072.35094Amann, H.; Quittner, P. 19 2004 Coagulation-fragmentation processes. Zbl 0977.35060Amann, Herbert 19 2000 Parabolic evolution equations in interpolation and extrapolation spaces. Zbl 0654.47019Amann, Herbert 19 1988 Nonlinear eigenvalue problems having precisely two solutions. Zbl 0329.35027Amann, Herbert 19 1976 Time-delayed Perona-Malik type problems. Zbl 1132.68067Amann, Herbert 18 2007 Navier-Stokes equations with nonhomogeneous Dirichlet data. Zbl 1362.35205Amann, Herbert 18 2003 Strongly continuous dual semigroups. Zbl 0892.47038Amann, Herbert; Escher, Joachim 18 1996 Semigroups and nonlinear evolution equations. Zbl 0624.35047Amann, Herbert 18 1986 On the unique solvability of semi-linear operator equations in Hilbert spaces. Zbl 0501.47024Amann, Herbert 18 1982 Multiplication in Sobolev and Besov spaces. Zbl 0894.46026Amann, Herbert 17 1991 Existence and stability of solutions for semi-linear parabolic systems, and applications to some diffusion reaction equations. Zbl 0406.35038Amann, Herbert 17 1978 Existence theorems for equations of Hammerstein type. Zbl 0244.47047Amann, Herbert 16 1973 Some applications of monotone operator theory to resonance problems. Zbl 0418.47028Amann, Herbert; Mancini, Giovanni 15 1979 On the number of solutions of asymptotically superlinear two point boundary value problems. Zbl 0294.34008Amann, Herbert 15 1974 Uniformly regular and singular Riemannian manifolds. Zbl 1345.58004Amann, Herbert 14 2015 Linear parabolic problems involving measures. Zbl 1018.35049Amann, H. 14 2001 Elliptic operators with infinite-dimensional state spaces. Zbl 1018.35023Amann, Herbert 14 2001 Positive solutions of convex nonlinear eigenvalue problems. Zbl 0329.35028Amann, Herbert; Laetsch, Theodore 14 1976 Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion. Zbl 1082.35083Amann, Herbert; Walker, Christoph 13 2005 Parabolic evolution equations with nonlinear boundary conditions. Zbl 0611.35043Amann, Herbert 13 1986 Nonautonomous parabolic equations involving measures. Zbl 1159.35386Amann, H. 12 2005 Stability of the rest state of a viscous incompressible fluid. Zbl 0820.76033Amann, Herbert 12 1994 Hopf bifurcation in quasilinear reaction-diffusion systems. Zbl 0780.35051Amann, Herbert 12 1991 Über die Existenz und iterative Berechnung einer Lösung der Hammersteinschen Gleichung. Zbl 0165.13701Amann, Herbert 12 1968 Analysis II. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1146.26001Amann, Herbert; Escher, Joachim 11 2008 Highly degenerate quasilinear parabolic systems. Zbl 0738.35029Amann, Herbert 11 1991 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 10 2016 Maximal regularity and quasilinear parabolic boundary value problems. Zbl 1144.35034Amann, Herbert 10 2005 Nonlinear operators in ordered Banach spaces and some applications to nonlinear boundary value problems. Zbl 0345.47045Amann, Herbert 10 1976 Elliptic boundary value problems involving measures: Existence, regularity, and multiplicity. Zbl 0954.35071Amann, Herbert; Quittner, Pavol 9 1998 Errata: Fixed point theorems and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0375.47026Amann, Herbert 9 1977 Linear and quasilinear parabolic problems. Volume II: Function spaces. Zbl 1448.46004Amann, Herbert 8 2019 Abstract methods in differential equations. Zbl 1064.35096Amann, H. 8 2003 A note on the dynamics of an oscillator in the presence of strong friction. Zbl 1035.34023Amann, H.; Diaz, J. I. 8 2003 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 7 2009 Quasilinear parabolic functional evolution equations. Zbl 1144.35426Amann, Herbert 7 2006 Analysis II. 2nd corrected ed. Zbl 1097.26001Amann, Herbert; Escher, Joachim 7 2006 Reaction-diffusion problems in electrolysis. Zbl 0831.35153Amann, Herbert; Renardy, Michael 7 1994 A uniqueness theorem for nonlinear elliptic boundary value problems. Zbl 0225.35041Amann, Herbert 7 1972 Über die Konvergenzgeschwindigkeit des GalerkinVerfahrens für die Hammersteinsche Gleichung. Zbl 0242.49029Amann, Herbert 6 1970 Cauchy problems for parabolic equations in Sobolev-Slobodeckii and Hölder spaces on uniformly regular Riemannian manifolds. Zbl 1366.35072Amann, Herbert 5 2017 Non-local quasi-linear parabolic equations. Zbl 1160.35300Amann, H. 5 2005 Analysis I. Transl. from the German by Gary Brookfield. Zbl 1097.26002Amann, Herbert; Escher, Joachim 5 2005 Global existence for a class of highly degenerate parabolic systems. Zbl 0735.35080Amann, Herbert 5 1991 Feedback stabilization of linear and semilinear parabolic systems. Zbl 0686.35058Amann, Herbert 5 1989 Optimal control problems governed by semilinear parabolic equations with low regularity data. Zbl 1106.49005Amann, H.; Quittner, P. 4 2006 Analysis I. 3rd ed. Zbl 1102.26001Amann, Herbert; Escher, Joachim 4 2006 Analysis III. Zbl 0995.26001Amann, Herbert; Escher, Joachim 4 2001 On a quasilinear coagulation-fragmentation model with diffusion. Zbl 0984.76092Amann, Herbert; Weber, Frank 4 2001 Linear parabolic equations with strong boundary degeneration. Zbl 1443.35083Amann, Herbert 1 2020 Linear and quasilinear parabolic problems. Volume II: Function spaces. Zbl 1448.46004Amann, Herbert 8 2019 Cauchy problems for parabolic equations in Sobolev-Slobodeckii and Hölder spaces on uniformly regular Riemannian manifolds. Zbl 1366.35072Amann, Herbert 5 2017 Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems. Zbl 1411.58010Amann, Herbert 10 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 14 2015 Function spaces on singular manifolds. Zbl 1280.46022Amann, H. 24 2013 Anisotropic function spaces and maximal regularity for parabolic problems. Part 1: Function spaces. Zbl 1216.35001Amann, Herbert 27 2009 Analysis III. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1187.28001Amann, Herbert; Escher, Joachim 7 2009 Analysis II. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1146.26001Amann, Herbert; Escher, Joachim 11 2008 Analysis III. 2nd ed. Zbl 1210.26001Amann, Herbert; Escher, Joachim 3 2008 Time-delayed Perona-Malik type problems. Zbl 1132.68067Amann, Herbert 18 2007 Quasilinear parabolic functional evolution equations. Zbl 1144.35426Amann, Herbert 7 2006 Analysis II. 2nd corrected ed. Zbl 1097.26001Amann, Herbert; Escher, Joachim 7 2006 Optimal control problems governed by semilinear parabolic equations with low regularity data. Zbl 1106.49005Amann, H.; Quittner, P. 4 2006 Analysis I. 3rd ed. Zbl 1102.26001Amann, Herbert; Escher, Joachim 4 2006 Quasilinear parabolic problems via maximal regularity. Zbl 1103.35059Amann, Herbert 26 2005 Maximum principles and principal eigenvalues. Zbl 1090.35090Amann, H. 24 2005 Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion. Zbl 1082.35083Amann, Herbert; Walker, Christoph 13 2005 Nonautonomous parabolic equations involving measures. Zbl 1159.35386Amann, H. 12 2005 Maximal regularity and quasilinear parabolic boundary value problems. Zbl 1144.35034Amann, Herbert 10 2005 Non-local quasi-linear parabolic equations. Zbl 1160.35300Amann, H. 5 2005 Analysis I. Transl. from the German by Gary Brookfield. Zbl 1097.26002Amann, Herbert; Escher, Joachim 5 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. 44 2004 Semilinear parabolic equations involving measures and low regularity data. Zbl 1072.35094Amann, H.; Quittner, P. 19 2004 Navier-Stokes equations with nonhomogeneous Dirichlet data. Zbl 1362.35205Amann, Herbert 18 2003 Abstract methods in differential equations. Zbl 1064.35096Amann, H. 8 2003 A note on the dynamics of an oscillator in the presence of strong friction. Zbl 1035.34023Amann, H.; Diaz, J. I. 8 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. 14 2001 Elliptic operators with infinite-dimensional state spaces. Zbl 1018.35023Amann, Herbert 14 2001 Analysis III. Zbl 0995.26001Amann, Herbert; Escher, Joachim 4 2001 On a quasilinear coagulation-fragmentation model with diffusion. Zbl 0984.76092Amann, Herbert; Weber, Frank 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 93 2000 Compact embeddings of vector-valued Sobolev and Besov spaces. Zbl 0997.46029Amann, Herbert 73 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. 116 1998 Elliptic boundary value problems involving measures: Existence, regularity, and multiplicity. Zbl 0954.35071Amann, Herbert; Quittner, Pavol 9 1998 Operator-valued Fourier multipliers, vector-valued Besov spaces, and applications. Zbl 0880.42007Amann, Herbert 93 1997 A Fujita-type theorem for the Laplace equation with a dynamical boundary condition. Zbl 0922.35053Amann, H.; Fila, M. 23 1997 Strongly continuous dual semigroups. Zbl 0892.47038Amann, Herbert; Escher, Joachim 18 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 467 1995 Ordinary differential equations. 2., überarb. Aufl. Zbl 0823.34001Amann, Herbert 20 1995 A nodal theorem for coupled systems of Schrödinger equations and the number of bound states. Zbl 0842.34085Amann, Herbert; Quittner, Pavol 4 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 38 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 245 1993 Multiplication in Sobolev and Besov spaces. Zbl 0894.46026Amann, Herbert 17 1991 Hopf bifurcation in quasilinear reaction-diffusion systems. Zbl 0780.35051Amann, Herbert 12 1991 Highly degenerate quasilinear parabolic systems. Zbl 0738.35029Amann, Herbert 11 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 196 1990 Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen. Zbl 0708.34002Amann, Herbert 139 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 186 1989 Feedback stabilization of linear and semilinear parabolic systems. Zbl 0686.35058Amann, Herbert 5 1989 Remarks on quasilinear parabolic systems. Zbl 0675.35055Amann, Herbert 1 1989 Parabolic evolution equations and nonlinear boundary conditions. Zbl 0658.34011Amann, Herbert 120 1988 Dynamic theory of quasilinear parabolic equations: Abstract evolution equations. Zbl 0666.35043Amann, Herbert 68 1988 Parabolic evolution equations in interpolation and extrapolation spaces. Zbl 0654.47019Amann, Herbert 19 1988 On abstract parabolic fundamental solutions. Zbl 0616.47032Amann, Herbert 33 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 64 1986 Quasilinear evolution equations and parabolic systems. Zbl 0635.47056Amann, Herbert 48 1986 Semigroups and nonlinear evolution equations. Zbl 0624.35047Amann, Herbert 18 1986 Parabolic evolution equations with nonlinear boundary conditions. Zbl 0611.35043Amann, Herbert 13 1986 Global existence for semilinear parabolic systems. Zbl 0564.35060Amann, Herbert 72 1985 Semilinear parabolic systems. Zbl 0576.35067Amann, Herbert 1 1985 Existence and regularity for semilinear parabolic evolution equations. Zbl 0625.35045Amann, Herbert 56 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 88 1983 A note on degree theory for gradient mappings. Zbl 0501.58012Amann, Herbert 51 1982 On the unique solvability of semi-linear operator equations in Hilbert spaces. Zbl 0501.47024Amann, Herbert 18 1982 Multiple periodic solutions for a class of nonlinear autonomous wave equations. Zbl 0481.35061Amann, Herbert; Zehnder, E. 23 1981 Saddle points and multiple solutions of nonlinear differential equations. Zbl 0462.35038Amann, Herbert 1 1981 Multiple periodic solutions of autonomous Hamiltonian systems. Zbl 0459.34024Amann, Herbert 1 1981 Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations. Zbl 0452.47077Amann, Herbert; Zehnder, E. 186 1980 Periodic solutions of asymptotically linear Hamiltonian systems. Zbl 0443.70019Amann, Herbert; Zehnder, Eduard 76 1980 Saddle points and multiple solutions of differential equations. Zbl 0414.47042Amann, Herbert 101 1979 A multiplicity result for a class of elliptic boundary value problems. Zbl 0416.35029Amann, Herbert; Hess, Peter 61 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. 107 1978 Invariant sets and existence theorems for semilinear parabolic and elliptic systems. Zbl 0387.35038Amann, Herbert 75 1978 Periodic solutions of semilinear parabolic equations. Zbl 0464.35050Amann, Herbert 57 1978 Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities. Zbl 0368.35032Amann, Herbert; Ambrosetti, Antonio; Mancini, Giovanni 54 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 9 1977 Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0345.47044Amann, Herbert 930 1976 Existence and multiplicity theorems for semi-linear elliptic boundary value problems. Zbl 0331.35026Amann, Herbert 49 1976 Supersolutions, monotone iterations, and stability. Zbl 0319.35039Amann, Herbert 37 1976 Nonlinear elliptic equations with nonlinear boundary conditions. Zbl 0345.35045Amann, Herbert 21 1976 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,588 Authors 52 López-Gómez, Julián 49 Amann, Herbert 45 Shakhmurov, Veli B. 32 Escher, Joachim 30 Papageorgiou, Nikolaos S. 29 Walker, Christoph 28 Rodríguez-Bernal, Aníbal 25 Dancer, Edward Norman 24 Shivaji, Ratnasingham 23 Laurençot, Philippe 23 Wang, Mingxin 21 Hieber, Matthias 21 Infante, Gennaro 21 Winkler, Michael 20 Farwig, Reinhard 20 Le, Dung 20 Sun, Jingxian 20 Zanolin, Fabio 19 Cholewa, Jan W. 19 Suárez, Antonio 18 Henderson, Johnny Lee 18 Lan, Kunquan 18 Nolasco de Carvalho, Alexandre 17 Lizama, Carlos 17 Omari, Pierpaolo 17 O’Regan, Donal 17 Pao, Chia-Ven 17 Prüß, Jan Wilhelm 17 Veraar, Mark C. 16 Agarwal, Ravi P. 16 Clément, Philippe J. E. 16 Cosner, Chris 16 Rehberg, Joachim 15 Sweers, Guido H. 14 Afrouzi, Ghasem Alizadeh 14 Delgado, Manuel 14 García-Melián, Jorge 14 Jüngel, Ansgar 14 Lazer, Alan C. 14 Pyatkov, Sergei Grigor’evich 14 Shi, Junping 14 Simonett, Gieri 14 Taira, Kazuaki 14 Umezu, Kenichiro 14 Xu, Xian 13 Brown, Kenneth J. 13 Cantrell, Robert Stephen 13 Dlotko, Tomasz W. 13 Ma, Ruyun 13 Matioc, Bogdan-Vasile 13 Mawhin, Jean L. 13 McKenna, Patrick Joseph 13 Schmitt, Klaus 12 Abels, Helmut 12 Du, Yihong 12 Guidotti, Patrick Q. 12 Hess, Peter O. 12 Liu, Lishan 12 Luca, Rodica 12 Roidos, Nikolaos 12 Shibata, Yoshihiro 12 Smith, Hal Leslie 12 Zhang, Zhitao 11 Denk, Robert 11 Fu, Shengmao 11 Li, Shujie 11 Obaya, Rafael 11 Rossi, Julio Daniel 11 Schnaubelt, Roland 11 Wu, Yonghong 10 Cano-Casanova, Santiago 10 Diagana, Toka 10 Fan, Jishan 10 Feireisl, Eduard 10 Feltrin, Guglielmo 10 Hofer, Helmut H. W. 10 Kozono, Hideo 10 Lions, Pierre-Louis 10 Morgan, Jeff J. 10 Mu, Chunlai 10 Petryshyn, Walter Wolodymyr 10 Rybicki, Sławomir Maciej 10 Sohr, Hermann 10 Yang, Zuodong 10 Zheng, Sining 9 Ambrosetti, Antonio 9 Arrieta, José M. 9 Berestycki, Henri 9 Cabada, Alberto 9 Cuevas, Claudio 9 Cui, Shangbin 9 Guedes de Figueiredo, Djairo 9 Desvillettes, Laurent 9 Fellner, Klemens 9 Hai, Dang Dinh 9 Lin, Zhigui 9 Meyries, Martin 9 Peng, Rui 9 Pietramala, Paolamaria 9 Poláčik, Peter ...and 3,488 more Authors all top 5 Cited in 383 Serials 405 Journal of Differential Equations 367 Journal of Mathematical Analysis and Applications 258 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 218 Nonlinear Analysis. Theory, Methods & Applications 87 Nonlinear Analysis. Real World Applications 61 Applied Mathematics and Computation 61 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 59 Journal of Evolution Equations 56 Annali di Matematica Pura ed Applicata. Serie Quarta 55 Transactions of the American Mathematical Society 51 Journal of Functional Analysis 50 Archive for Rational Mechanics and Analysis 49 Proceedings of the American Mathematical Society 47 Computers & Mathematics with Applications 45 Discrete and Continuous Dynamical Systems 45 Boundary Value Problems 44 Mathematische Annalen 44 Applied Mathematics Letters 43 Discrete and Continuous Dynamical Systems. Series B 42 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 41 Mathematische Zeitschrift 36 NoDEA. Nonlinear Differential Equations and Applications 35 Applicable Analysis 35 Communications in Partial Differential Equations 34 Calculus of Variations and Partial Differential Equations 33 Mathematical Methods in the Applied Sciences 31 Advanced Nonlinear Studies 30 ZAMP. Zeitschrift für angewandte Mathematik und Physik 30 Mathematische Nachrichten 30 Abstract and Applied Analysis 25 Journal of Computational and Applied Mathematics 25 Journal of Dynamics and Differential Equations 23 Journal of Mathematical Biology 23 Journal of Mathematical Fluid Mechanics 22 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 22 Numerische Mathematik 22 SIAM Journal on Mathematical Analysis 21 Rocky Mountain Journal of Mathematics 21 Communications on Pure and Applied Analysis 20 Mathematical and Computer Modelling 19 Acta Applicandae Mathematicae 19 Acta Mathematica Sinica. English Series 18 Discrete and Continuous Dynamical Systems. Series S 17 Advances in Difference Equations 16 Integral Equations and Operator Theory 16 Manuscripta Mathematica 16 Monatshefte für Mathematik 15 Journal of Mathematical Physics 15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Journal of Fixed Point Theory and Applications 13 Nonlinearity 13 Czechoslovak Mathematical Journal 13 Journal of Mathematical Sciences (New York) 13 Positivity 13 Mediterranean Journal of Mathematics 12 Mathematics of Computation 12 Electronic Journal of Differential Equations (EJDE) 11 Bulletin of the Australian Mathematical Society 11 Israel Journal of Mathematics 11 Mathematical Biosciences 11 Numerical Functional Analysis and Optimization 11 Potential Analysis 11 Fixed Point Theory and Applications 11 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 10 Communications in Mathematical Physics 10 Zeitschrift für Analysis und ihre Anwendungen 10 Acta Mathematicae Applicatae Sinica. English Series 10 Journal of Integral Equations and Applications 9 Journal d’Analyse Mathématique 9 Archiv der Mathematik 9 Chinese Annals of Mathematics. Series B 9 Acta Mathematica Sinica. New Series 9 The Journal of Fourier Analysis and Applications 9 Differential Equations 9 Complex Variables and Elliptic Equations 9 Mathematical Modelling of Natural Phenomena 8 Advances in Mathematics 8 Applied Mathematics and Optimization 8 Semigroup Forum 8 Physica D 8 Topological Methods in Nonlinear Analysis 8 Annales Mathématiques Blaise Pascal 8 Journal of Difference Equations and Applications 8 Communications in Nonlinear Science and Numerical Simulation 7 International Journal of Mathematics and Mathematical Sciences 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Rendiconti del Seminario Matematico della Università di Padova 7 SIAM Journal on Control and Optimization 7 Systems & Control Letters 7 Applied Mathematics and Mechanics. (English Edition) 7 Stochastic Analysis and Applications 7 Journal of Nonlinear Science 7 Journal of Inequalities and Applications 7 Discrete Dynamics in Nature and Society 7 Journal of Applied Mathematics 7 SIAM Journal on Applied Dynamical Systems 7 Science China. Mathematics 6 Inventiones Mathematicae ...and 283 more Serials all top 5 Cited in 53 Fields 2,740 Partial differential equations (35-XX) 801 Operator theory (47-XX) 733 Ordinary differential equations (34-XX) 602 Biology and other natural sciences (92-XX) 266 Fluid mechanics (76-XX) 264 Dynamical systems and ergodic theory (37-XX) 246 Global analysis, analysis on manifolds (58-XX) 189 Numerical analysis (65-XX) 151 Calculus of variations and optimal control; optimization (49-XX) 135 Integral equations (45-XX) 135 Functional analysis (46-XX) 101 Probability theory and stochastic processes (60-XX) 73 Mechanics of deformable solids (74-XX) 73 Statistical mechanics, structure of matter (82-XX) 64 Differential geometry (53-XX) 59 Harmonic analysis on Euclidean spaces (42-XX) 59 Systems theory; control (93-XX) 57 Classical thermodynamics, heat transfer (80-XX) 47 Mechanics of particles and systems (70-XX) 41 Difference and functional equations (39-XX) 40 Algebraic topology (55-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Real functions (26-XX) 25 General topology (54-XX) 21 Operations research, mathematical programming (90-XX) 16 Quantum theory (81-XX) 15 Optics, electromagnetic theory (78-XX) 13 Computer science (68-XX) 13 Information and communication theory, circuits (94-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Geophysics (86-XX) 11 Potential theory (31-XX) 8 Approximations and expansions (41-XX) 8 Manifolds and cell complexes (57-XX) 7 Abstract harmonic analysis (43-XX) 6 Measure and integration (28-XX) 6 Relativity and gravitational theory (83-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Topological groups, Lie groups (22-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistics (62-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 3 Convex and discrete geometry (52-XX) 3 Astronomy and astrophysics (85-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Mathematical logic and foundations (03-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX) 1 Citations by Year