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Author ID: amann.herbert Recent zbMATH articles by "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

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

Publications by Year

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 0345.47044
Amann, Herbert
976
1976
Linear and quasilinear parabolic problems. Vol. 1: Abstract linear theory. Zbl 0819.35001
Amann, Herbert
409
1995
Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. Zbl 0810.35037
Amann, Herbert
284
1993
Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems. Zbl 0729.35062
Amann, Herbert
224
1990
Dynamic theory of quasilinear parabolic systems. III: Global existence. Zbl 0702.35125
Amann, Herbert
198
1989
Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations. Zbl 0452.47077
Amann, Herbert; Zehnder, E.
192
1980
A priori bounds and multiple solutions for superlinear indefinite elliptic problems. Zbl 0909.35044
Amann, H.; López-Gómez, J.
128
1998
Parabolic evolution equations and nonlinear boundary conditions. Zbl 0658.34011
Amann, Herbert
121
1988
On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030
Amann, Herbert; Crandall, Michael G.
116
1978
On the number of solutions of nonlinear equations in ordered Banach spaces. Zbl 0244.47046
Amann, Herbert
111
1972
On the strong solvability of the Navier-Stokes equations. Zbl 0989.35107
Amann, Herbert
107
2000
Operator-valued Fourier multipliers, vector-valued Besov spaces, and applications. Zbl 0880.42007
Amann, Herbert
103
1997
Saddle points and multiple solutions of differential equations. Zbl 0414.47042
Amann, Herbert
103
1979
Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen. Zbl 0708.34002
Amann, Herbert
99
1990
Dual semigroups and second order linear elliptic boundary value problems. Zbl 0535.35017
Amann, Herbert
96
1983
Compact embeddings of vector-valued Sobolev and Besov spaces. Zbl 0997.46029
Amann, Herbert
92
2000
On the existence of positive solutions of nonlinear elliptic boundary value problems. Zbl 0219.35037
Amann, Herbert
88
1971
Periodic solutions of asymptotically linear Hamiltonian systems. Zbl 0443.70019
Amann, Herbert; Zehnder, Eduard
77
1980
Invariant sets and existence theorems for semilinear parabolic and elliptic systems. Zbl 0387.35038
Amann, Herbert
75
1978
Dynamic theory of quasilinear parabolic equations: Abstract evolution equations. Zbl 0666.35043
Amann, Herbert
74
1988
Global existence for semilinear parabolic systems. Zbl 0564.35060
Amann, Herbert
73
1985
Quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0596.35061
Amann, Herbert
66
1986
A multiplicity result for a class of elliptic boundary value problems. Zbl 0416.35029
Amann, Herbert; Hess, Peter
62
1979
Existence and regularity for semilinear parabolic evolution equations. Zbl 0625.35045
Amann, Herbert
59
1984
Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities. Zbl 0368.35032
Amann, Herbert; Ambrosetti, Antonio; Mancini, Giovanni
58
1978
Existence and multiplicity theorems for semi-linear elliptic boundary value problems. Zbl 0331.35026
Amann, Herbert
52
1976
Quasilinear evolution equations and parabolic systems. Zbl 0635.47056
Amann, Herbert
51
1986
Maximal regularity for nonautonomous evolution equations. Zbl 1072.35103
Amann, H.
51
2004
A note on degree theory for gradient mappings. Zbl 0501.58012
Amann, Herbert
49
1982
Multiple solutions for nonlinear elliptic boundary value problems. Zbl 0222.35023
Amann, Herbert
44
1972
Bounded \(H_ \infty\)-calculus for elliptic operators. Zbl 0799.35060
Amann, Herbert; Hieber, Matthias; Simonett, Gieri
44
1994
On the existence of positive solutions of nonlinear elliptic boundary value problems. Zbl 0209.13002
Amann, Herbert
42
1971
Multiple positive fixed points of asymptotically linear maps. Zbl 0287.47037
Amann, Herbert
42
1974
On abstract parabolic fundamental solutions. Zbl 0616.47032
Amann, Herbert
34
1987
Supersolutions, monotone iterations, and stability. Zbl 0319.35039
Amann, Herbert
32
1976
Periodic solutions of semilinear parabolic equations. Zbl 0464.35050
Amann, Herbert
32
1978
Anisotropic function spaces and maximal regularity for parabolic problems. Part 1: Function spaces. Zbl 1216.35001
Amann, Herbert
31
2009
Ljusternik-Schnirelman theory and non-linear eigenvalue problems. Zbl 0233.47049
Amann, Herbert
28
1972
Quasilinear parabolic problems via maximal regularity. Zbl 1103.35059
Amann, Herbert
27
2005
Function spaces on singular manifolds. Zbl 1280.46022
Amann, H.
27
2013
Maximum principles and principal eigenvalues. Zbl 1090.35090
Amann, H.
26
2005
Fixed points of asymptotically linear maps in ordered Banach spaces. Zbl 0263.47043
Amann, Herbert
25
1973
A Fujita-type theorem for the Laplace equation with a dynamical boundary condition. Zbl 0922.35053
Amann, H.; Fila, M.
24
1997
Nonhomogeneous Navier–Stokes equations with integrable low-regularity data. Zbl 1201.76038
Amann, Herbert
24
2002
On the uniqueness of the topological degree. Zbl 0249.55004
Amann, Herbert; Weiss, Stanley A.
22
1973
Multiple periodic solutions for a class of nonlinear autonomous wave equations. Zbl 0481.35061
Amann, Herbert; Zehnder, E.
22
1981
Strongly continuous dual semigroups. Zbl 0892.47038
Amann, Herbert; Escher, Joachim
21
1996
Navier-Stokes equations with nonhomogeneous Dirichlet data. Zbl 1362.35205
Amann, Herbert
21
2003
Nonlinear eigenvalue problems having precisely two solutions. Zbl 0329.35027
Amann, Herbert
20
1976
Semilinear parabolic equations involving measures and low regularity data. Zbl 1072.35094
Amann, H.; Quittner, P.
20
2004
Time-delayed Perona-Malik type problems. Zbl 1132.68067
Amann, Herbert
20
2007
Ein Existenz- und Eindeutigkeitssatz für die Hammersteinsche Gleichung in Banachräumen. Zbl 0176.45604
Amann, Herbert
20
1969
Ordinary differential equations. 2., überarb. Aufl. (Gewöhnliche Differentialgleichungen.) Zbl 0823.34001
Amann, Herbert
19
1995
Parabolic evolution equations in interpolation and extrapolation spaces. Zbl 0654.47019
Amann, Herbert
19
1988
Coagulation-fragmentation processes. Zbl 0977.35060
Amann, Herbert
19
2000
Multiplication in Sobolev and Besov spaces. Zbl 0894.46026
Amann, Herbert
18
1991
Linear parabolic problems involving measures. Zbl 1018.35049
Amann, H.
18
2001
Hopf bifurcation in quasilinear reaction-diffusion systems. Zbl 0780.35051
Amann, Herbert
17
1991
Semigroups and nonlinear evolution equations. Zbl 0624.35047
Amann, Herbert
17
1986
On the unique solvability of semi-linear operator equations in Hilbert spaces. Zbl 0501.47024
Amann, Herbert
17
1982
Existence and stability of solutions for semi-linear parabolic systems, and applications to some diffusion reaction equations. Zbl 0406.35038
Amann, Herbert
17
1978
Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion. Zbl 1082.35083
Amann, Herbert; Walker, Christoph
17
2005
Elliptic operators with infinite-dimensional state spaces. Zbl 1018.35023
Amann, Herbert
15
2001
Existence theorems for equations of Hammerstein type. Zbl 0244.47047
Amann, Herbert
15
1973
Some applications of monotone operator theory to resonance problems. Zbl 0418.47028
Amann, Herbert; Mancini, Giovanni
15
1979
Uniformly regular and singular Riemannian manifolds. Zbl 1345.58004
Amann, Herbert
15
2015
Linear and quasilinear parabolic problems. Volume II: Function spaces. Zbl 1448.46004
Amann, Herbert
14
2019
Nonautonomous parabolic equations involving measures. Zbl 1159.35386
Amann, H.
14
2005
Highly degenerate quasilinear parabolic systems. Zbl 0738.35029
Amann, Herbert
13
1991
On the number of solutions of asymptotically superlinear two point boundary value problems. Zbl 0294.34008
Amann, Herbert
13
1974
Positive solutions of convex nonlinear eigenvalue problems. Zbl 0329.35028
Amann, Herbert; Laetsch, Theodore
13
1976
Stability of the rest state of a viscous incompressible fluid. Zbl 0820.76033
Amann, Herbert
12
1994
Nonlinear elliptic equations with nonlinear boundary conditions. Zbl 0345.35045
Amann, Herbert
12
1976
Über die Existenz und iterative Berechnung einer Lösung der Hammersteinschen Gleichung. Zbl 0165.13701
Amann, Herbert
12
1968
Zum Galerkin-Verfahren für die Hammersteinsche Gleichung. Zbl 0186.20902
Amann, Herbert
11
1969
Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems. Zbl 1411.58010
Amann, Herbert
11
2016
A note on the dynamics of an oscillator in the presence of strong friction. Zbl 1035.34023
Amann, H.; Diaz, J. I.
10
2003
Abstract methods in differential equations. Zbl 1064.35096
Amann, H.
10
2003
Elliptic boundary value problems involving measures: Existence, regularity, and multiplicity. Zbl 0954.35071
Amann, Herbert; Quittner, Pavol
10
1998
Analysis II. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1146.26001
Amann, Herbert; Escher, Joachim
9
2008
Maximal regularity and quasilinear parabolic boundary value problems. Zbl 1144.35034
Amann, Herbert
9
2005
Erratum: “Dynamic theory of quasilinear parabolic systems. III: Global existence”. Zbl 0719.35044
Amann, Herbert
8
1990
Analysis III. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1187.28001
Amann, Herbert; Escher, Joachim
8
2009
A uniqueness theorem for nonlinear elliptic boundary value problems. Zbl 0225.35041
Amann, Herbert
7
1972
Reaction-diffusion problems in electrolysis. Zbl 0831.35153
Amann, Herbert; Renardy, Michael
7
1994
Cauchy problems for parabolic equations in Sobolev-Slobodeckii and Hölder spaces on uniformly regular Riemannian manifolds. Zbl 1366.35072
Amann, Herbert
7
2017
Quasilinear parabolic functional evolution equations. Zbl 1144.35426
Amann, Herbert
7
2006
Parabolic evolution equations with nonlinear boundary conditions. Zbl 0611.35043
Amann, Herbert
6
1986
Errata: Fixed point theorems and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0375.47026
Amann, Herbert
6
1977
A nodal theorem for coupled systems of Schrödinger equations and the number of bound states. Zbl 0842.34085
Amann, Herbert; Quittner, Pavol
6
1995
Über die Konvergenzgeschwindigkeit des GalerkinVerfahrens für die Hammersteinsche Gleichung. Zbl 0242.49029
Amann, Herbert
6
1970
Analysis II. 2nd corrected ed. Zbl 1097.26001
Amann, Herbert; Escher, Joachim
6
2006
Non-local quasi-linear parabolic equations. Zbl 1160.35300
Amann, H.
6
2005
Global existence for a class of highly degenerate parabolic systems. Zbl 0735.35080
Amann, Herbert
5
1991
Nonlinear operators in ordered Banach spaces and some applications to nonlinear boundary value problems. Zbl 0345.47045
Amann, Herbert
5
1976
On a quasilinear coagulation-fragmentation model with diffusion. Zbl 0984.76092
Amann, Herbert; Weber, Frank
4
2001
Analysis I. Transl. from the German by Gary Brookfield. Zbl 1097.26002
Amann, Herbert; Escher, Joachim
4
2005
Analysis I. 3rd ed. Zbl 1102.26001
Amann, Herbert; Escher, Joachim
4
2006
Optimal control problems governed by semilinear parabolic equations with low regularity data. Zbl 1106.49005
Amann, H.; Quittner, P.
4
2006
Analysis III. Zbl 0995.26001
Amann, Herbert; Escher, Joachim
4
2001
Linear parabolic equations with strong boundary degeneration. Zbl 1443.35083
Amann, Herbert
2
2020
Linear and quasilinear parabolic problems. Volume II: Function spaces. Zbl 1448.46004
Amann, Herbert
14
2019
Cauchy problems for parabolic equations in Sobolev-Slobodeckii and Hölder spaces on uniformly regular Riemannian manifolds. Zbl 1366.35072
Amann, Herbert
7
2017
Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems. Zbl 1411.58010
Amann, Herbert
11
2016
The work of Yoshihiro Shibata. Zbl 1337.01007
Amann, Herbert; Giga, Yoshikazu; Okamoto, Hisashi; Kozono, Hideo; Yamazaki, Masaso
1
2016
Uniformly regular and singular Riemannian manifolds. Zbl 1345.58004
Amann, Herbert
15
2015
Function spaces on singular manifolds. Zbl 1280.46022
Amann, H.
27
2013
Anisotropic function spaces and maximal regularity for parabolic problems. Part 1: Function spaces. Zbl 1216.35001
Amann, Herbert
31
2009
Analysis III. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1187.28001
Amann, Herbert; Escher, Joachim
8
2009
Analysis II. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1146.26001
Amann, Herbert; Escher, Joachim
9
2008
Analysis III. 2nd ed. Zbl 1210.26001
Amann, 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 1132.68067
Amann, Herbert
20
2007
Quasilinear parabolic functional evolution equations. Zbl 1144.35426
Amann, Herbert
7
2006
Analysis II. 2nd corrected ed. Zbl 1097.26001
Amann, Herbert; Escher, Joachim
6
2006
Analysis I. 3rd ed. Zbl 1102.26001
Amann, Herbert; Escher, Joachim
4
2006
Optimal control problems governed by semilinear parabolic equations with low regularity data. Zbl 1106.49005
Amann, H.; Quittner, P.
4
2006
Quasilinear parabolic problems via maximal regularity. Zbl 1103.35059
Amann, Herbert
27
2005
Maximum principles and principal eigenvalues. Zbl 1090.35090
Amann, H.
26
2005
Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion. Zbl 1082.35083
Amann, Herbert; Walker, Christoph
17
2005
Nonautonomous parabolic equations involving measures. Zbl 1159.35386
Amann, H.
14
2005
Maximal regularity and quasilinear parabolic boundary value problems. Zbl 1144.35034
Amann, Herbert
9
2005
Non-local quasi-linear parabolic equations. Zbl 1160.35300
Amann, H.
6
2005
Analysis I. Transl. from the German by Gary Brookfield. Zbl 1097.26002
Amann, Herbert; Escher, Joachim
4
2005
Optimal control problems with final observation governed by explosive paarabolic equations. Zbl 1110.49004
Amann, H.; Quittner, P.
3
2005
Maximal regularity for nonautonomous evolution equations. Zbl 1072.35103
Amann, H.
51
2004
Semilinear parabolic equations involving measures and low regularity data. Zbl 1072.35094
Amann, H.; Quittner, P.
20
2004
Navier-Stokes equations with nonhomogeneous Dirichlet data. Zbl 1362.35205
Amann, Herbert
21
2003
A note on the dynamics of an oscillator in the presence of strong friction. Zbl 1035.34023
Amann, H.; Diaz, J. I.
10
2003
Abstract methods in differential equations. Zbl 1064.35096
Amann, H.
10
2003
Linear parabolic equations with singular potentials. Zbl 1036.35066
Amann, Herbert
2
2003
Nonhomogeneous Navier–Stokes equations with integrable low-regularity data. Zbl 1201.76038
Amann, Herbert
24
2002
Nonhomogeneous Navier-Stokes equations in spaces of low regularity. Zbl 1330.35286
Amann, Herbert
1
2002
Linear parabolic problems involving measures. Zbl 1018.35049
Amann, H.
18
2001
Elliptic operators with infinite-dimensional state spaces. Zbl 1018.35023
Amann, Herbert
15
2001
On a quasilinear coagulation-fragmentation model with diffusion. Zbl 0984.76092
Amann, Herbert; Weber, Frank
4
2001
Analysis III. Zbl 0995.26001
Amann, Herbert; Escher, Joachim
4
2001
Remarks on the strong solvability of the Navier-Stokes equations. Zbl 1060.35102
Amann, H.
1
2001
On the strong solvability of the Navier-Stokes equations. Zbl 0989.35107
Amann, Herbert
107
2000
Compact embeddings of vector-valued Sobolev and Besov spaces. Zbl 0997.46029
Amann, Herbert
92
2000
Coagulation-fragmentation processes. Zbl 0977.35060
Amann, Herbert
19
2000
Analysis II. Zbl 0940.26001
Amann, Herbert; Escher, Joachim
2
1999
A priori bounds and multiple solutions for superlinear indefinite elliptic problems. Zbl 0909.35044
Amann, H.; López-Gómez, J.
128
1998
Elliptic boundary value problems involving measures: Existence, regularity, and multiplicity. Zbl 0954.35071
Amann, Herbert; Quittner, Pavol
10
1998
Operator-valued Fourier multipliers, vector-valued Besov spaces, and applications. Zbl 0880.42007
Amann, Herbert
103
1997
A Fujita-type theorem for the Laplace equation with a dynamical boundary condition. Zbl 0922.35053
Amann, H.; Fila, M.
24
1997
Strongly continuous dual semigroups. Zbl 0892.47038
Amann, Herbert; Escher, Joachim
21
1996
Stability and bifurcation in viscous incompressible fluids. Zbl 0963.76541
Amann, H.
2
1996
Linear and quasilinear parabolic problems. Vol. 1: Abstract linear theory. Zbl 0819.35001
Amann, Herbert
409
1995
Ordinary differential equations. 2., überarb. Aufl. (Gewöhnliche Differentialgleichungen.) Zbl 0823.34001
Amann, Herbert
19
1995
A nodal theorem for coupled systems of Schrödinger equations and the number of bound states. Zbl 0842.34085
Amann, Herbert; Quittner, Pavol
6
1995
Heat-conducting incompressible viscous fluids. Zbl 0847.35105
Amann, Herbert
2
1995
Bounded \(H_ \infty\)-calculus for elliptic operators. Zbl 0799.35060
Amann, Herbert; Hieber, Matthias; Simonett, Gieri
44
1994
Stability of the rest state of a viscous incompressible fluid. Zbl 0820.76033
Amann, Herbert
12
1994
Reaction-diffusion problems in electrolysis. Zbl 0831.35153
Amann, Herbert; Renardy, Michael
7
1994
Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. Zbl 0810.35037
Amann, Herbert
284
1993
Multiplication in Sobolev and Besov spaces. Zbl 0894.46026
Amann, Herbert
18
1991
Hopf bifurcation in quasilinear reaction-diffusion systems. Zbl 0780.35051
Amann, Herbert
17
1991
Highly degenerate quasilinear parabolic systems. Zbl 0738.35029
Amann, Herbert
13
1991
Global existence for a class of highly degenerate parabolic systems. Zbl 0735.35080
Amann, Herbert
5
1991
Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems. Zbl 0729.35062
Amann, Herbert
224
1990
Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen. Zbl 0708.34002
Amann, Herbert
99
1990
Erratum: “Dynamic theory of quasilinear parabolic systems. III: Global existence”. Zbl 0719.35044
Amann, Herbert
8
1990
Dynamic theory of quasilinear parabolic systems. III: Global existence. Zbl 0702.35125
Amann, Herbert
198
1989
Feedback stabilization of linear and semilinear parabolic systems. Zbl 0686.35058
Amann, Herbert
2
1989
Remarks on quasilinear parabolic systems. Zbl 0675.35055
Amann, Herbert
1
1989
Parabolic evolution equations and nonlinear boundary conditions. Zbl 0658.34011
Amann, Herbert
121
1988
Dynamic theory of quasilinear parabolic equations: Abstract evolution equations. Zbl 0666.35043
Amann, Herbert
74
1988
Parabolic evolution equations in interpolation and extrapolation spaces. Zbl 0654.47019
Amann, Herbert
19
1988
On abstract parabolic fundamental solutions. Zbl 0616.47032
Amann, Herbert
34
1987
Semilinear parabolic systems under nonlinear boundary conditions. Zbl 0664.35047
Amann, Herbert
1
1987
Quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0596.35061
Amann, Herbert
66
1986
Quasilinear evolution equations and parabolic systems. Zbl 0635.47056
Amann, Herbert
51
1986
Semigroups and nonlinear evolution equations. Zbl 0624.35047
Amann, Herbert
17
1986
Parabolic evolution equations with nonlinear boundary conditions. Zbl 0611.35043
Amann, Herbert
6
1986
Global existence for semilinear parabolic systems. Zbl 0564.35060
Amann, Herbert
73
1985
Semilinear parabolic systems. Zbl 0576.35067
Amann, Herbert
1
1985
Existence and regularity for semilinear parabolic evolution equations. Zbl 0625.35045
Amann, Herbert
59
1984
Periodic solutions of Hamiltonian systems. Zbl 0571.70016
Amann, Herbert
2
1984
Dual semigroups and second order linear elliptic boundary value problems. Zbl 0535.35017
Amann, Herbert
96
1983
A note on degree theory for gradient mappings. Zbl 0501.58012
Amann, Herbert
49
1982
On the unique solvability of semi-linear operator equations in Hilbert spaces. Zbl 0501.47024
Amann, Herbert
17
1982
Multiple periodic solutions for a class of nonlinear autonomous wave equations. Zbl 0481.35061
Amann, Herbert; Zehnder, E.
22
1981
Multiple periodic solutions of autonomous Hamiltonian systems. Zbl 0459.34024
Amann, Herbert
1
1981
Saddle points and multiple solutions of nonlinear differential equations. Zbl 0462.35038
Amann, Herbert
1
1981
Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations. Zbl 0452.47077
Amann, Herbert; Zehnder, E.
192
1980
Periodic solutions of asymptotically linear Hamiltonian systems. Zbl 0443.70019
Amann, Herbert; Zehnder, Eduard
77
1980
Saddle points and multiple solutions of differential equations. Zbl 0414.47042
Amann, Herbert
103
1979
A multiplicity result for a class of elliptic boundary value problems. Zbl 0416.35029
Amann, Herbert; Hess, Peter
62
1979
Some applications of monotone operator theory to resonance problems. Zbl 0418.47028
Amann, Herbert; Mancini, Giovanni
15
1979
Invariant sets for semilinear parabolic and elliptic systems. Zbl 0404.35060
Amann, Herbert
1
1979
On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030
Amann, Herbert; Crandall, Michael G.
116
1978
Invariant sets and existence theorems for semilinear parabolic and elliptic systems. Zbl 0387.35038
Amann, Herbert
75
1978
Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities. Zbl 0368.35032
Amann, Herbert; Ambrosetti, Antonio; Mancini, Giovanni
58
1978
Periodic solutions of semilinear parabolic equations. Zbl 0464.35050
Amann, Herbert
32
1978
Existence and stability of solutions for semi-linear parabolic systems, and applications to some diffusion reaction equations. Zbl 0406.35038
Amann, Herbert
17
1978
Errata: Fixed point theorems and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0375.47026
Amann, Herbert
6
1977
Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0345.47044
Amann, Herbert
976
1976
Existence and multiplicity theorems for semi-linear elliptic boundary value problems. Zbl 0331.35026
Amann, Herbert
52
1976
Supersolutions, monotone iterations, and stability. Zbl 0319.35039
Amann, Herbert
32
1976
...and 26 more Documents
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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
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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
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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)

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