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Church, Philip T.

Compute Distance To:
 Author ID: church.philip-t Published as: Church, P. T.; Church, P.; Church, Philip T.
 Documents Indexed: 54 Publications since 1957
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Co-Authors

 16 single-authored 27 Timourian, J. G. 7 Berger, Melvyn S. 2 Hemmingsen, Erik 2 Lamotke, Klaus 1 Dancer, Edward Norman 1 Goldthorpe, B. D. 1 Lewtas, I. 1 Mahowald, Mark Edward 1 Nathan, William D. 1 Noble, J. P.
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Serials

 7 Indiana University Mathematics Journal 7 Transactions of the American Mathematical Society 5 Pacific Journal of Mathematics 4 Michigan Mathematical Journal 3 Journal of Mathematics and Mechanics 3 Nonlinear Analysis. Theory, Methods & Applications 2 Duke Mathematical Journal 1 Bulletin of the Australian Mathematical Society 1 Journal of the Mechanics and Physics of Solids 1 Acta Mathematica 1 Canadian Journal of Mathematics 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 Engineering Transactions 1 Bulletin of the American Mathematical Society 1 Journal of the London Mathematical Society 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
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Fields

 20 Global analysis, analysis on manifolds (58-XX) 15 Manifolds and cell complexes (57-XX) 11 Partial differential equations (35-XX) 10 Operator theory (47-XX) 10 General topology (54-XX) 5 Algebraic topology (55-XX) 3 Mechanics of deformable solids (74-XX) 2 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX)

Citations contained in zbMATH Open

40 Publications have been cited 178 times in 99 Documents Cited by Year
Light open maps on $$n$$-manifolds. I, II. Zbl 0117.40502
Church, P. T.; Hemmingsen, E.
1960
Folds and cusps in Banach spaces, with applications to nonlinear partial differential equations. I. Zbl 0552.58010
Berger, M. S.; Church, P. T.; Timourian, J. G.
1985
Complete integrability and perturbation of a nonlinear Dirichlet problem. I. Zbl 0425.35090
Berger, M. S.; Church, P. T.
1979
Folds and cusps in Banach spaces with applications to nonlinear partial differential equations. II. Zbl 0667.58001
Berger, M. S.; Church, P. T.; Timourian, J. G.
1988
Differentiable open maps on manifolds. Zbl 0202.54801
Church, P. T.
1963
The structure of a nonlinear elliptic operator. Zbl 0786.35054
Church, P. T.; Dancer, E. N.; Timourian, J. G.
1993
Global cusp maps in differential and integral equations. Zbl 0794.58005
Church, P. T.; Timourian, J. G.
1993
Global fold maps in differential and integral equations. Zbl 0771.58003
Church, P. T.; Timourian, J. G.
1992
Non-trivial polynomial isolated singularities. Zbl 0342.57017
Church, P. T.; Lamotke, K.
1975
Complete integrability and perturbation of a nonlinear Dirichlet problem. II. Zbl 0477.35008
Berger, M. S.; Church, P. T.
1980
Global structure for nonlinear operators in differential and integral equations. I: Folds. Zbl 0879.58007
Church, P. T.; Timourian, J. G.
1997
The singular set of a nonlinear elliptic operator. Zbl 0699.35086
Church, P. T.; Timourian, J. G.
1988
A nonlinear elliptic operator and its singular values. Zbl 0636.35028
Church, P. T.; Timourian, J. G.
1989
Fiber bundles with singularities. Zbl 0169.25901
Church, P. T.; Timourian, J. G.
1968
Differentiable monotone maps on manifolds. Zbl 0166.19704
Church, P. T.
1967
Discrete maps on manifolds. Zbl 0371.54024
Church, P. T.
1978
Extensions of Stoilow’s theorem. Zbl 0112.05403
Church, P. T.
1962
Differentiable open maps. Zbl 0113.38701
Church, P.
1962
Factorization of differentiable maps with branch set dimension at most n- 3. Zbl 0129.39303
Church, P. T.
1965
Real analytic maps on manifolds. Zbl 0184.27103
Church, P. T.; Nathan, W. D.
1969
Differentiable maps with non-negative Jacobian. Zbl 0203.56501
Church, P. T.
1967
Differentiable maps with O-dimensional critical set. I. Zbl 0236.58002
Church, P. T.; Timourian, J. G.
1972
Almost free actions on manifolds. Zbl 0273.57018
Church, Philip T.; Lamotke, Klaus
1974
Ambiguous points of a function homeomorphic inside a sphere. Zbl 0080.08405
Church, P. T.
1957
Maps having O-dimensional critical set image. Zbl 0393.57013
Church, P. T.; Timourian, J. G.
1978
Light open maps on n-manifolds. III. Zbl 0126.38702
Church, P.; Hemmingsen, E.
1963
Real analytic open maps. Zbl 0238.58007
Church, P. T.; Timourian, J. G.
1974
Differentiable open maps of (p+1)-manifold to p-manifold. Zbl 0265.57011
Church, P. T.; Timourian, J. G.
1973
Differentiable maps with O-dimensional critical set. II. Zbl 0281.57018
Church, P. T.; Timourian, J. G.
1974
Critical values of Fredholm maps. Zbl 0691.58010
Church, P. T.; Timourian, J. G.
1988
An application of singularly theory to nonlinear elliptic partial differential equations. Zbl 0543.35035
Berger, M. S.; Church, P. T.; Timourian, J. G.
1983
Oriented global fold maps in differential and integral equations. Zbl 0878.47037
Church, P. T.; Timourian, J. G.
1996
The use of the Hopkinson bar to validate constitutive relations at high rates of strain. Zbl 0945.74518
Noble, J. P.; Goldthorpe, B. D.; Church, P.; Harding, J.
1999
Differentiable maps with small critical set or critical set image. Zbl 0366.57008
Church, P. T.; Timourian, J. G.
1978
Deficient points of maps on manifolds. Zbl 0417.55004
Church, P. T.; Timourian, J. G.
1980
On the complete integrability of nonlinear partial differential equations. Zbl 0422.35020
Berger, M. S.; Church, P. T.
1979
Global structure for nonlinear operators in differential and integral equations. II: Cusps. Zbl 0879.58008
Church, P. T.; Timourian, J. G.
1997
Global boundary behavior of meromorphic functions. Zbl 0113.05501
Church, P. T.
1961
Integrability of nonlinear differential equations via functional analysis. Zbl 0592.58038
Berger, M. S.; Church, P. T.; Timourian, J. G.
1986
Continuous maps with 0-dimensional branch set. Zbl 0279.57003
Church, P. T.; Timourian, J. G.
1974
The use of the Hopkinson bar to validate constitutive relations at high rates of strain. Zbl 0945.74518
Noble, J. P.; Goldthorpe, B. D.; Church, P.; Harding, J.
1999
Global structure for nonlinear operators in differential and integral equations. I: Folds. Zbl 0879.58007
Church, P. T.; Timourian, J. G.
1997
Global structure for nonlinear operators in differential and integral equations. II: Cusps. Zbl 0879.58008
Church, P. T.; Timourian, J. G.
1997
Oriented global fold maps in differential and integral equations. Zbl 0878.47037
Church, P. T.; Timourian, J. G.
1996
The structure of a nonlinear elliptic operator. Zbl 0786.35054
Church, P. T.; Dancer, E. N.; Timourian, J. G.
1993
Global cusp maps in differential and integral equations. Zbl 0794.58005
Church, P. T.; Timourian, J. G.
1993
Global fold maps in differential and integral equations. Zbl 0771.58003
Church, P. T.; Timourian, J. G.
1992
A nonlinear elliptic operator and its singular values. Zbl 0636.35028
Church, P. T.; Timourian, J. G.
1989
Folds and cusps in Banach spaces with applications to nonlinear partial differential equations. II. Zbl 0667.58001
Berger, M. S.; Church, P. T.; Timourian, J. G.
1988
The singular set of a nonlinear elliptic operator. Zbl 0699.35086
Church, P. T.; Timourian, J. G.
1988
Critical values of Fredholm maps. Zbl 0691.58010
Church, P. T.; Timourian, J. G.
1988
Integrability of nonlinear differential equations via functional analysis. Zbl 0592.58038
Berger, M. S.; Church, P. T.; Timourian, J. G.
1986
Folds and cusps in Banach spaces, with applications to nonlinear partial differential equations. I. Zbl 0552.58010
Berger, M. S.; Church, P. T.; Timourian, J. G.
1985
An application of singularly theory to nonlinear elliptic partial differential equations. Zbl 0543.35035
Berger, M. S.; Church, P. T.; Timourian, J. G.
1983
Complete integrability and perturbation of a nonlinear Dirichlet problem. II. Zbl 0477.35008
Berger, M. S.; Church, P. T.
1980
Deficient points of maps on manifolds. Zbl 0417.55004
Church, P. T.; Timourian, J. G.
1980
Complete integrability and perturbation of a nonlinear Dirichlet problem. I. Zbl 0425.35090
Berger, M. S.; Church, P. T.
1979
On the complete integrability of nonlinear partial differential equations. Zbl 0422.35020
Berger, M. S.; Church, P. T.
1979
Discrete maps on manifolds. Zbl 0371.54024
Church, P. T.
1978
Maps having O-dimensional critical set image. Zbl 0393.57013
Church, P. T.; Timourian, J. G.
1978
Differentiable maps with small critical set or critical set image. Zbl 0366.57008
Church, P. T.; Timourian, J. G.
1978
Non-trivial polynomial isolated singularities. Zbl 0342.57017
Church, P. T.; Lamotke, K.
1975
Almost free actions on manifolds. Zbl 0273.57018
Church, Philip T.; Lamotke, Klaus
1974
Real analytic open maps. Zbl 0238.58007
Church, P. T.; Timourian, J. G.
1974
Differentiable maps with O-dimensional critical set. II. Zbl 0281.57018
Church, P. T.; Timourian, J. G.
1974
Continuous maps with 0-dimensional branch set. Zbl 0279.57003
Church, P. T.; Timourian, J. G.
1974
Differentiable open maps of (p+1)-manifold to p-manifold. Zbl 0265.57011
Church, P. T.; Timourian, J. G.
1973
Differentiable maps with O-dimensional critical set. I. Zbl 0236.58002
Church, P. T.; Timourian, J. G.
1972
Real analytic maps on manifolds. Zbl 0184.27103
Church, P. T.; Nathan, W. D.
1969
Fiber bundles with singularities. Zbl 0169.25901
Church, P. T.; Timourian, J. G.
1968
Differentiable monotone maps on manifolds. Zbl 0166.19704
Church, P. T.
1967
Differentiable maps with non-negative Jacobian. Zbl 0203.56501
Church, P. T.
1967
Factorization of differentiable maps with branch set dimension at most n- 3. Zbl 0129.39303
Church, P. T.
1965
Differentiable open maps on manifolds. Zbl 0202.54801
Church, P. T.
1963
Light open maps on n-manifolds. III. Zbl 0126.38702
Church, P.; Hemmingsen, E.
1963
Extensions of Stoilow’s theorem. Zbl 0112.05403
Church, P. T.
1962
Differentiable open maps. Zbl 0113.38701
Church, P.
1962
Global boundary behavior of meromorphic functions. Zbl 0113.05501
Church, P. T.
1961
Light open maps on $$n$$-manifolds. I, II. Zbl 0117.40502
Church, P. T.; Hemmingsen, E.
1960
Ambiguous points of a function homeomorphic inside a sphere. Zbl 0080.08405
Church, P. T.
1957
all top 5

Cited by 120 Authors

 13 Church, Philip T. 8 Timourian, J. G. 4 Tomei, Carlos 3 Ganenkova, Ekaterina G. 3 Shi, Junping 3 Srebro, Uri 2 Araújo dos Santos, Raimundo Nonato 2 Berger, Melvyn S. 2 Calanchi, Marta 2 Chen, Hongbin 2 Chua, Leon Ong 2 Funar, Louis 2 Lam, Ying-Fai 2 Li, Yi 2 Mandhyan, Indur B. 2 Martio, Olli 2 Micheletti, Anna Maria 2 Reddy, William L. 2 Rickman, Seppo Uolevi 2 Ruf, Bernhard 2 Saeki, Osamu 2 Smiley, Michael W. 2 Tarantello, Gabriella 2 Wang, Yuwen 2 Zaccur, André 1 Aguilar-Cabrera, Haydée 1 Ambrosetti, Antonio 1 Andrica, Dorin 1 Antonelli, Peter Louis 1 Aĭzenberg, Anton Andreevich 1 Balboni, Ferrante 1 Barreto, Alexandre Paiva 1 Berestycki, Henri 1 Biasi, Carlos 1 Bogatyĭ, Semeon Antonovich 1 Bravo, José Luis 1 Bueno, Hamilton P. 1 Burghelea, Dan 1 Cafagna, Vittorio 1 Chekroun, Mickaël D. 1 Cima, Anna 1 Clausen, Arild H. 1 Dancer, Edward Norman 1 de Góes Grulha, Nivaldo jun. 1 de Paiva, Francisco Odair 1 DeGeorge, David Lee 1 Duda, Edwin 1 Durfee, Alan H. 1 Fečkan, Michal 1 Fenille, Marcio Colombo 1 Fernando, José F. 1 Foiaş, Ciprian Ilie 1 Gasull, Armengol 1 Ghiloni, Riccardo 1 Giannoni, Fabio 1 Gol’dshtejn, Vladimir M. 1 Hartmann, Luiz 1 Harvey, John Matthew 1 Heinonen, Juha 1 Hemmingsen, Erik 1 Hild, François 1 Hohlenwerger, Maria A. B. 1 Hopperstad, Odd Sture 1 Hsu, Agnes Chi-Ling 1 Kassay, Gábor 1 Katriel, Guy 1 Kaufman, Robert P. 1 Kerin, Martin 1 Komunjer, Ivana 1 Korman, Philip L. 1 Kovtonyuk, D. A. 1 Kudryavtseva, Elena A. 1 Langseth, Magnus 1 Lazzeri, Fulvio 1 Lefton, Lew E. 1 Liu, Ping 1 Luisto, Rami 1 Mañosas, Francesc 1 Marden, Albert 1 Martins, Rodrigo S. V. 1 Marx, Morris L. 1 Mathews, John H. 1 Mayer, Volker 1 McAuley, Louis Floyd 1 McKean, Henry P. jun. 1 da Silva Montenegro, Marcelo 1 Montesinos-Amilibia, José María 1 Nabutovsky, Alexander 1 Perotti, Alessandro 1 Pintea, Cornel 1 Plastock, R. A. 1 Polulyakh, Yevgen 1 Radulescu, Marius-Cristian 1 Radulescu, Sorin 1 Richards, Ian 1 Runst, Thomas 1 Ryazanov, Vladimir Il’ich 1 Sadyrkhanov, R. S. 1 Saldanha, Nicolau Corção 1 Salimov, Ruslan Radikovich ...and 20 more Authors
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Cited in 48 Serials

 11 Nonlinear Analysis. Theory, Methods & Applications 10 Transactions of the American Mathematical Society 8 Proceedings of the American Mathematical Society 5 Journal of Mathematical Analysis and Applications 5 Journal of Differential Equations 4 Journal of Functional Analysis 3 Journal d’Analyse Mathématique 3 Bulletin of the American Mathematical Society 2 Ukrainian Mathematical Journal 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Geometriae Dedicata 2 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Topology and its Applications 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Russian Mathematics 1 International Journal of Solids and Structures 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Acta Mathematica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Collectanea Mathematica 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Mathematical Systems Theory 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Siberian Mathematical Journal 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Russian Journal of Mathematical Physics 1 St. Petersburg Mathematical Journal 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Documenta Mathematica 1 Conformal Geometry and Dynamics 1 Revista Matemática Complutense 1 Econometric Theory 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of the Australian Mathematical Society 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Proceedings of the Steklov Institute of Mathematics 1 Problemy Analiza. Issues of Analysis
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Cited in 27 Fields

 26 Global analysis, analysis on manifolds (58-XX) 23 Partial differential equations (35-XX) 21 Operator theory (47-XX) 20 Manifolds and cell complexes (57-XX) 11 Functions of a complex variable (30-XX) 11 Several complex variables and analytic spaces (32-XX) 8 Ordinary differential equations (34-XX) 7 Functional analysis (46-XX) 7 General topology (54-XX) 4 Real functions (26-XX) 4 Algebraic topology (55-XX) 3 Algebraic geometry (14-XX) 3 Mechanics of deformable solids (74-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)