×

zbMATH — the first resource for mathematics

Rothe, Erich Hans

Compute Distance To:
Author ID: rothe.erich-h Recent zbMATH articles by "Rothe, Erich Hans"
Published as: Rothe, E.; Rothe, E. H.; Rothe, Erich; Rothe, Erich H.
External Links: MGP · Wikidata · GND · MacTutor
Documents Indexed: 74 Publications since 1927, including 1 Book
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

40 Publications have been cited 304 times in 257 Documents Cited by Year
Zweidimensionale parabolische Randwertaufgaben als Grenzfall eindimensionaler Randwertaufgaben. JFM 56.1076.02
Rothe, E.
108
1930
Zur Theorie der topologischen Ordnung und der Vektorfelder in Banachschen Räumen. Zbl 0018.13304
Rothe, Erich
38
1937
Introduction to various aspects of degree theory in Banach spaces. Zbl 0597.47040
Rothe, E. H.
27
1986
A relation between the type numbers of a critical point and the index of the corresponding field of gradient vectors. Zbl 0044.31903
Rothe, Erich H.
13
1951
Completely continuous scalars and variational methods. Zbl 0031.21604
Rothe, E. H.
9
1948
Morse theory in Hilbert space. Zbl 0281.49027
Rothe, E. H.
7
1973
Critical points and gradient fields of scalars in Hilbert space. Zbl 0042.34403
Rothe, E. H.
6
1951
Gradient mappings and extrema in Banach spaces. Zbl 0030.26003
Rothe, E. H.
6
1948
An existence theorem in the calculus of variations based on Sobolev’s imbedding theorems. Zbl 0135.15701
Rothe, E. H.
5
1966
Critical point theory in Hilbert space under general boundary conditions. Zbl 0132.07902
Rothe, E. H.
5
1965
On non-negative functional transformations. Zbl 0060.27703
Rothe, Erich
5
1944
The theory of topological order in some linear topological spaces. JFM 65.0499.01
Rothe, E.
5
1939
On the Cesari index and the Browder-Petryshin degree. Zbl 0571.47052
Rothe, E. H.
4
1977
On the theories of Morse and Lusternik-Schnirelman for open bounded sets on Fredholm Hilbert manifolds. Zbl 0303.58007
Rothe, E. H.
4
1975
Some remarks on critical point theory in Hilbert space. Zbl 0113.10402
Rothe, E. H.
4
1963
Mapping degree in Banach spaces and spectral theory. Zbl 0065.35503
Rothe, Erich H.
4
1955
Gradient mappings. Zbl 0052.12801
Rothe, E. H.
4
1953
A note on the Banach spaces of Calkin and Morrey. Zbl 0050.11101
Rothe, E. H.
4
1953
Über die Wärmeleitungsgleichung mit nichtkonstanten Koeffizienten im räumlichen Falle. I. Mitt. Zbl 0001.06203
Rothe, Erich
4
1931
Über die Wärmeleitungsgleichung mit nichtkonstanten Koeffizienten im räumlichen Falle. I, II. JFM 57.0587.01
Rothe, E.
4
1931
Über die Approximation stetiger Funktionen durch Eigenfunktionen elliptischer Differentialgleichungen. JFM 55.0288.02
Rothe, E.
4
1929
Leray-Schauder index and Morse type numbers in Hilbert space. Zbl 0048.09701
Rothe, E. H.
3
1952
Weak topology and nonlinear integral equations. Zbl 0034.36502
Rothe, E. H.
3
1949
Gradient mappings in Hilbert space. Zbl 0060.28203
Rothe, E. H.
3
1946
Zur Theorie der topologischen Ordnung und der Vektorfelder in Banachschen Räumen. JFM 63.0350.01
Rothe, E.
3
1937
Über asymptotische Entwicklungen bei Randwertaufgaben elliptischer partieller Differentialgleichungen. Zbl 0007.11501
Rothe, Erich
3
1933
Über die Grundlösung bei parabolischen Gleichungen. JFM 57.0586.03
Rothe, E.
3
1931
Critical point theory in Hilbert space under regular boundary conditions. Zbl 0199.43103
Rothe, E. H.
2
1971
Weak topology and calculus of variations. Zbl 0169.13801
Rothe, E. H.
2
1967
The theory of topological order in some linear topological spaces. Zbl 0022.41201
Rothe, Erich
2
1939
On the connection between critical point theory and Leray-Schauder degree. Zbl 0486.47036
Rothe, E. H.
1
1982
A generalization of the Seifert-Threlfall proof for the Lusternik- Schnirelman category inequality. Zbl 0342.58014
Rothe, E. H.
1
1975
Remarks on the application of gradient mappings to the calculus of variations and the connected boundary value problems in partial differential equations. Zbl 0071.10302
Rothe, E. H.
1
1956
A remark on isolated critical points. Zbl 0046.11003
Rothe, Erich H.
1
1952
Topological proofs of uniqueness theorems in the theory of differential and integral equations. Zbl 0021.41003
Rothe, Erich
1
1939
Topological proofs of uniqueness theorems in the theory of differential and integral equations. JFM 65.0499.02
Rothe, E.
1
1939
Über den Abbildungsgrad bei Abbildungen von Kugeln des Hilbertschen Raumes. Zbl 0017.36004
Rothe, Erich
1
1937
Über die Integralgleichung des Skineffekts. JFM 60.0318.01
Rothe, E.
1
1934
Über asymptotische Entwicklungen bei Randwertaufgaben elliptischer partieller Differentialgleichungen. JFM 59.0474.02
Rothe, E.
1
1933
Über die Grundlösung bei parabolischen Gleichungen. Zbl 0001.27604
Rothe, Erich
1
1931
Introduction to various aspects of degree theory in Banach spaces. Zbl 0597.47040
Rothe, E. H.
27
1986
On the connection between critical point theory and Leray-Schauder degree. Zbl 0486.47036
Rothe, E. H.
1
1982
On the Cesari index and the Browder-Petryshin degree. Zbl 0571.47052
Rothe, E. H.
4
1977
On the theories of Morse and Lusternik-Schnirelman for open bounded sets on Fredholm Hilbert manifolds. Zbl 0303.58007
Rothe, E. H.
4
1975
A generalization of the Seifert-Threlfall proof for the Lusternik- Schnirelman category inequality. Zbl 0342.58014
Rothe, E. H.
1
1975
Morse theory in Hilbert space. Zbl 0281.49027
Rothe, E. H.
7
1973
Critical point theory in Hilbert space under regular boundary conditions. Zbl 0199.43103
Rothe, E. H.
2
1971
Weak topology and calculus of variations. Zbl 0169.13801
Rothe, E. H.
2
1967
An existence theorem in the calculus of variations based on Sobolev’s imbedding theorems. Zbl 0135.15701
Rothe, E. H.
5
1966
Critical point theory in Hilbert space under general boundary conditions. Zbl 0132.07902
Rothe, E. H.
5
1965
Some remarks on critical point theory in Hilbert space. Zbl 0113.10402
Rothe, E. H.
4
1963
Remarks on the application of gradient mappings to the calculus of variations and the connected boundary value problems in partial differential equations. Zbl 0071.10302
Rothe, E. H.
1
1956
Mapping degree in Banach spaces and spectral theory. Zbl 0065.35503
Rothe, Erich H.
4
1955
Gradient mappings. Zbl 0052.12801
Rothe, E. H.
4
1953
A note on the Banach spaces of Calkin and Morrey. Zbl 0050.11101
Rothe, E. H.
4
1953
Leray-Schauder index and Morse type numbers in Hilbert space. Zbl 0048.09701
Rothe, E. H.
3
1952
A remark on isolated critical points. Zbl 0046.11003
Rothe, Erich H.
1
1952
A relation between the type numbers of a critical point and the index of the corresponding field of gradient vectors. Zbl 0044.31903
Rothe, Erich H.
13
1951
Critical points and gradient fields of scalars in Hilbert space. Zbl 0042.34403
Rothe, E. H.
6
1951
Weak topology and nonlinear integral equations. Zbl 0034.36502
Rothe, E. H.
3
1949
Completely continuous scalars and variational methods. Zbl 0031.21604
Rothe, E. H.
9
1948
Gradient mappings and extrema in Banach spaces. Zbl 0030.26003
Rothe, E. H.
6
1948
Gradient mappings in Hilbert space. Zbl 0060.28203
Rothe, E. H.
3
1946
On non-negative functional transformations. Zbl 0060.27703
Rothe, Erich
5
1944
The theory of topological order in some linear topological spaces. JFM 65.0499.01
Rothe, E.
5
1939
The theory of topological order in some linear topological spaces. Zbl 0022.41201
Rothe, Erich
2
1939
Topological proofs of uniqueness theorems in the theory of differential and integral equations. Zbl 0021.41003
Rothe, Erich
1
1939
Topological proofs of uniqueness theorems in the theory of differential and integral equations. JFM 65.0499.02
Rothe, E.
1
1939
Zur Theorie der topologischen Ordnung und der Vektorfelder in Banachschen Räumen. Zbl 0018.13304
Rothe, Erich
38
1937
Zur Theorie der topologischen Ordnung und der Vektorfelder in Banachschen Räumen. JFM 63.0350.01
Rothe, E.
3
1937
Über den Abbildungsgrad bei Abbildungen von Kugeln des Hilbertschen Raumes. Zbl 0017.36004
Rothe, Erich
1
1937
Über die Integralgleichung des Skineffekts. JFM 60.0318.01
Rothe, E.
1
1934
Über asymptotische Entwicklungen bei Randwertaufgaben elliptischer partieller Differentialgleichungen. Zbl 0007.11501
Rothe, Erich
3
1933
Über asymptotische Entwicklungen bei Randwertaufgaben elliptischer partieller Differentialgleichungen. JFM 59.0474.02
Rothe, E.
1
1933
Über die Wärmeleitungsgleichung mit nichtkonstanten Koeffizienten im räumlichen Falle. I. Mitt. Zbl 0001.06203
Rothe, Erich
4
1931
Über die Wärmeleitungsgleichung mit nichtkonstanten Koeffizienten im räumlichen Falle. I, II. JFM 57.0587.01
Rothe, E.
4
1931
Über die Grundlösung bei parabolischen Gleichungen. JFM 57.0586.03
Rothe, E.
3
1931
Über die Grundlösung bei parabolischen Gleichungen. Zbl 0001.27604
Rothe, Erich
1
1931
Zweidimensionale parabolische Randwertaufgaben als Grenzfall eindimensionaler Randwertaufgaben. JFM 56.1076.02
Rothe, E.
108
1930
Über die Approximation stetiger Funktionen durch Eigenfunktionen elliptischer Differentialgleichungen. JFM 55.0288.02
Rothe, E.
4
1929
all top 5

Cited by 291 Authors

15 Rothe, Erich Hans
12 Kartsatos, Athanassios G.
8 Petryshyn, Walter Wolodymyr
6 Sather, Duane
5 Aida-Zade, Kamil Rajab
5 Cesari, Lamberto
5 Lin, Chinyuan
4 Abdullayev, Vaqif M.
4 Chaoui, Abderrazek
4 Kacur, Jozef
4 Šišková, Katarína
4 Slodička, Marián
3 Adhikari, Dhruba Raj
3 Amann, Herbert
3 Browder, Felix Earl
3 Causley, Matthew F.
3 Christlieb, Andrew J.
3 Knightly, George H.
3 Mawhin, Jean L.
3 Nashed, M. Zuhair
3 Rodríguez-Sanjurjo, Adrián
3 Rogava, Jemal L.
2 Awasthi, Ashish
2 Buttsworth, Timothy
2 Campo, Antonio
2 Caponio, Erasmo
2 Chapko, Roman
2 Cho, Hana
2 Čiupaila, Regimantas
2 Dancer, Edward Norman
2 Fournier, Gilles
2 Gulua, David
2 Henry, David
2 Javaloyes, Miguel Angel
2 Kadalbajoo, Mohan K.
2 Kannan, Rangachary
2 Kasri, Abderrezak
2 Kikuchi, Koji
2 Lakoud, A. Guezane
2 Lazer, Alan C.
2 Martelli, Mario
2 Martensen, Erich
2 Masiello, Antonio
2 Nakshatrala, K. B.
2 Park, Sehie
2 Parrott, Mary E.
2 Rahimov, Anar B.
2 Ramos, Juan I.
2 Riedrich, Thomas
2 Ruchert, Hartmut
2 Salazar, Abraham J.
2 Selçuk, Nevin
2 Švadlenka, Karel
2 Tarhan, Tanil
2 Vianello, Marco
2 von Welck, U.
1 Abderrezak, Kasri
1 Albrecht, Rudolf F.
1 Alessandrini, Giovanni
1 Ambrosetti, Antonio
1 Angell, Thomas S.
1 Aronson, Donald G.
1 Bai, Minru
1 Baía, Margarida
1 Barrar, Richard B.
1 Bartłomiejczyk, Agnieszka
1 Baskaran, Raghuraman
1 Ben-El-Mechaiekh, Hichem
1 Bettencourt, Matthew T.
1 Bieniasz, Lesław K.
1 Bobylev, Nikolaĭ Antonovich
1 Bock, Igor
1 Bogatov, Egor Mikhailovich
1 Böhme, Reinhold
1 Bonafini, Mauro
1 Borker, Raunak
1 Borrelli, William
1 Bourgin, David Gordon
1 Bozorgnia, Farid
1 Bugajewski, Dariusz
1 Buono, Pietro-Luciano
1 Bureau, Florent J.
1 Burton, Theodore Allen
1 Castro, Alfonso
1 Celentano, Diego J.
1 Cerami, Giovanna
1 Chen, Xiuqing
1 Čiegis, Raimondas
1 Collatz, Lothar
1 Coutinho, Alvaro L. G. A.
1 Cowles, David E.
1 Cromme, Ludwig J.
1 Cronin-Scanlon, Jane Smiley
1 Dáger, René
1 Dastgerdi, Maryam Vahid
1 De Blasi, Francesco Saverio
1 Guedes de Figueiredo, Djairo
1 De Marchi, Stefano
1 Dinca, George
1 Eells, James jun.
...and 191 more Authors
all top 5

Cited in 102 Serials

21 Journal of Mathematical Analysis and Applications
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Mathematische Annalen
10 Nonlinear Analysis. Theory, Methods & Applications
8 Archive for Rational Mechanics and Analysis
8 Bulletin of the American Mathematical Society
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Journal of Differential Equations
7 Transactions of the American Mathematical Society
6 Numerische Mathematik
6 Applied Numerical Mathematics
5 Journal of Computational Physics
5 Czechoslovak Mathematical Journal
5 Mathematische Zeitschrift
5 Journal of Mathematical Sciences (New York)
4 Computer Methods in Applied Mechanics and Engineering
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Applied Mathematics and Computation
4 Journal of Computational and Applied Mathematics
4 Journal of Functional Analysis
4 Proceedings of the American Mathematical Society
3 Mathematical Methods in the Applied Sciences
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Applicable Analysis
2 Computers & Mathematics with Applications
2 Lithuanian Mathematical Journal
2 Mathematical Notes
2 Mathematics of Computation
2 Acta Mathematica
2 Computing
2 Manuscripta Mathematica
2 Mathematica Slovaca
2 Numerical Functional Analysis and Optimization
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Rendiconti del Seminario Matematico della Università di Padova
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Mathematics Letters
2 Applied Mathematical Modelling
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 SIAM Journal on Scientific Computing
2 Georgian Mathematical Journal
2 Communications in Nonlinear Science and Numerical Simulation
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 International Journal for Numerical Methods in Fluids
1 Journal of Mathematical Physics
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Aplikace Matematiky
1 Bulletin de la Société Mathématique de France
1 Calcolo
1 International Journal for Numerical Methods in Engineering
1 Journal of the Mathematical Society of Japan
1 Journal of Optimization Theory and Applications
1 Mathematische Nachrichten
1 Metroeconomica
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quarterly of Applied Mathematics
1 Semigroup Forum
1 SIAM Journal on Numerical Analysis
1 Zeitschrift für Analysis und ihre Anwendungen
1 Annals of Global Analysis and Geometry
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Computational Mechanics
1 Journal of Integral Equations and Applications
1 International Journal of Mathematics
1 Applications of Mathematics
1 Computational Mathematics and Mathematical Physics
1 Communications in Partial Differential Equations
1 International Journal of Computer Mathematics
1 Acta Mathematica Sinica. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Cybernetics and Systems Analysis
1 Continuum Mechanics and Thermodynamics
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Journal of Inverse and Ill-Posed Problems
1 Journal of Difference Equations and Applications
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Discrete and Continuous Dynamical Systems
1 International Journal of Computational Fluid Dynamics
1 Differential Equations and Dynamical Systems
1 Geometry & Topology
1 Annals of Mathematics. Second Series
1 Journal of Nonlinear Mathematical Physics
1 Differential Equations
1 Nonlinear Analysis. Real World Applications
1 Computational Methods in Applied Mathematics
1 Analysis in Theory and Applications
1 Thai Journal of Mathematics
1 Fixed Point Theory and Applications
1 Proceedings of the Japan Academy
1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
1 Bulletin de la Société Mathématique de France. Supplément. Mémoires
1 Matematický Časopis, Slovenskej Akadémie Vied
1 Chebyshevskiĭ Sbornik
1 Journal of Fixed Point Theory and Applications
1 Discrete and Continuous Dynamical Systems. Series S
1 Arabian Journal of Mathematics
1 AICA. Annales de l’Association Internationale pour le Calcul Analogique et de Simulation Hybrides
1 Journal of Linear and Topological Algebra
...and 2 more Serials
all top 5

Cited in 39 Fields

91 Partial differential equations (35-XX)
74 Numerical analysis (65-XX)
68 Operator theory (47-XX)
31 Ordinary differential equations (34-XX)
22 Fluid mechanics (76-XX)
19 Global analysis, analysis on manifolds (58-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
16 Mechanics of deformable solids (74-XX)
11 General topology (54-XX)
8 Integral equations (45-XX)
7 Functional analysis (46-XX)
6 Differential geometry (53-XX)
6 Algebraic topology (55-XX)
6 Optics, electromagnetic theory (78-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Difference and functional equations (39-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Probability theory and stochastic processes (60-XX)
3 Statistics (62-XX)
3 Geophysics (86-XX)
3 Systems theory; control (93-XX)
2 History and biography (01-XX)
2 Real functions (26-XX)
2 Potential theory (31-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Quantum theory (81-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.