Edit Profile (opens in new tab) Church, Philip T. Co-Author Distance Author ID: church.philip-t Published as: Church, P. T.; Church, P.; Church, Philip T. more...less Documents Indexed: 54 Publications since 1957 Co-Authors: 10 Co-Authors with 38 Joint Publications 143 Co-Co-Authors all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 218 times in 118 Documents Cited by ▼ Year ▼ Light open maps on \(n\)-manifolds. I, II. Zbl 0117.40502 Church, P. T.; Hemmingsen, E. 30 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. 22 1985 Differentiable open maps on manifolds. Zbl 0202.54801 Church, P. T. 16 1963 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. 14 1988 Complete integrability and perturbation of a nonlinear Dirichlet problem. I. Zbl 0425.35090 Berger, M. S.; Church, P. T. 14 1979 The structure of a nonlinear elliptic operator. Zbl 0786.35054 Church, P. T.; Dancer, E. N.; Timourian, J. G. 9 1993 Non-trivial polynomial isolated singularities. Zbl 0342.57017 Church, P. T.; Lamotke, K. 8 1975 Global fold maps in differential and integral equations. Zbl 0771.58003 Church, P. T.; Timourian, J. G. 7 1992 Global cusp maps in differential and integral equations. Zbl 0794.58005 Church, P. T.; Timourian, J. G. 7 1993 Global structure for nonlinear operators in differential and integral equations. I: Folds. Zbl 0879.58007 Church, P. T.; Timourian, J. G. 6 1997 Discrete maps on manifolds. Zbl 0371.54024 Church, P. T. 6 1978 Complete integrability and perturbation of a nonlinear Dirichlet problem. II. Zbl 0477.35008 Berger, M. S.; Church, P. T. 5 1980 Differentiable maps with non-negative Jacobian. Zbl 0203.56501 Church, P. T. 5 1967 A nonlinear elliptic operator and its singular values. Zbl 0636.35028 Church, P. T.; Timourian, J. G. 4 1989 Differentiable open maps. Zbl 0113.38701 Church, P. 4 1962 Fiber bundles with singularities. Zbl 0169.25901 Church, P. T.; Timourian, J. G. 4 1968 Differentiable open maps of (p+1)-manifold to p-manifold. Zbl 0265.57011 Church, P. T.; Timourian, J. G. 4 1973 The singular set of a nonlinear elliptic operator. Zbl 0699.35086 Church, P. T.; Timourian, J. G. 4 1988 Ambiguous points of a function homeomorphic inside a sphere. Zbl 0080.08405 Church, P. T. 3 1957 Extensions of Stoilow’s theorem. Zbl 0112.05403 Church, P. T. 3 1962 Light open maps on n-manifolds. III. Zbl 0126.38702 Church, P.; Hemmingsen, E. 3 1963 Factorization of differentiable maps with branch set dimension at most n- 3. Zbl 0129.39303 Church, P. T. 3 1965 Boundary images of meromorphic functions. Zbl 0154.32203 Church, P. T. 3 1964 Differentiable monotone maps on manifolds. Zbl 0166.19704 Church, P. T. 3 1967 Real analytic maps on manifolds. Zbl 0184.27103 Church, P. T.; Nathan, W. D. 3 1969 Differentiable maps with O-dimensional critical set. I. Zbl 0236.58002 Church, P. T.; Timourian, J. G. 3 1972 Almost free actions on manifolds. Zbl 0273.57018 Church, Philip T.; Lamotke, Klaus 3 1974 Differentiable maps with small critical set or critical set image. Zbl 0366.57008 Church, P. T.; Timourian, J. G. 3 1978 Deficient points of maps on manifolds. Zbl 0417.55004 Church, P. T.; Timourian, J. G. 3 1980 Real analytic open maps. Zbl 0238.58007 Church, P. T.; Timourian, J. G. 2 1974 Differentiable maps with O-dimensional critical set. II. Zbl 0281.57018 Church, P. T.; Timourian, J. G. 2 1974 Global structure for nonlinear operators in differential and integral equations. II: Cusps. Zbl 0879.58008 Church, P. T.; Timourian, J. G. 2 1997 Maps having O-dimensional critical set image. Zbl 0393.57013 Church, P. T.; Timourian, J. G. 2 1978 An application of singularly theory to nonlinear elliptic partial differential equations. Zbl 0543.35035 Berger, M. S.; Church, P. T.; Timourian, J. G. 1 1983 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. 1 1999 Oriented global fold maps in differential and integral equations. Zbl 0878.47037 Church, P. T.; Timourian, J. G. 1 1996 Critical values of Fredholm maps. Zbl 0691.58010 Church, P. T.; Timourian, J. G. 1 1988 Global boundary behavior of meromorphic functions. Zbl 0113.05501 Church, P. T. 1 1961 Continuous maps with 0-dimensional branch set. Zbl 0279.57003 Church, P. T.; Timourian, J. G. 1 1974 Integrability of nonlinear differential equations via functional analysis. Zbl 0592.58038 Berger, M. S.; Church, P. T.; Timourian, J. G. 1 1986 On the complete integrability of nonlinear partial differential equations. Zbl 0422.35020 Berger, M. S.; Church, P. T. 1 1979 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. 1 1999 Global structure for nonlinear operators in differential and integral equations. I: Folds. Zbl 0879.58007 Church, P. T.; Timourian, J. G. 6 1997 Global structure for nonlinear operators in differential and integral equations. II: Cusps. Zbl 0879.58008 Church, P. T.; Timourian, J. G. 2 1997 Oriented global fold maps in differential and integral equations. Zbl 0878.47037 Church, P. T.; Timourian, J. G. 1 1996 The structure of a nonlinear elliptic operator. Zbl 0786.35054 Church, P. T.; Dancer, E. N.; Timourian, J. G. 9 1993 Global cusp maps in differential and integral equations. Zbl 0794.58005 Church, P. T.; Timourian, J. G. 7 1993 Global fold maps in differential and integral equations. Zbl 0771.58003 Church, P. T.; Timourian, J. G. 7 1992 A nonlinear elliptic operator and its singular values. Zbl 0636.35028 Church, P. T.; Timourian, J. G. 4 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. 14 1988 The singular set of a nonlinear elliptic operator. Zbl 0699.35086 Church, P. T.; Timourian, J. G. 4 1988 Critical values of Fredholm maps. Zbl 0691.58010 Church, P. T.; Timourian, J. G. 1 1988 Integrability of nonlinear differential equations via functional analysis. Zbl 0592.58038 Berger, M. S.; Church, P. T.; Timourian, J. G. 1 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. 22 1985 An application of singularly theory to nonlinear elliptic partial differential equations. Zbl 0543.35035 Berger, M. S.; Church, P. T.; Timourian, J. G. 1 1983 Complete integrability and perturbation of a nonlinear Dirichlet problem. II. Zbl 0477.35008 Berger, M. S.; Church, P. T. 5 1980 Deficient points of maps on manifolds. Zbl 0417.55004 Church, P. T.; Timourian, J. G. 3 1980 Complete integrability and perturbation of a nonlinear Dirichlet problem. I. Zbl 0425.35090 Berger, M. S.; Church, P. T. 14 1979 On the complete integrability of nonlinear partial differential equations. Zbl 0422.35020 Berger, M. S.; Church, P. T. 1 1979 Discrete maps on manifolds. Zbl 0371.54024 Church, P. T. 6 1978 Differentiable maps with small critical set or critical set image. Zbl 0366.57008 Church, P. T.; Timourian, J. G. 3 1978 Maps having O-dimensional critical set image. Zbl 0393.57013 Church, P. T.; Timourian, J. G. 2 1978 Non-trivial polynomial isolated singularities. Zbl 0342.57017 Church, P. T.; Lamotke, K. 8 1975 Almost free actions on manifolds. Zbl 0273.57018 Church, Philip T.; Lamotke, Klaus 3 1974 Real analytic open maps. Zbl 0238.58007 Church, P. T.; Timourian, J. G. 2 1974 Differentiable maps with O-dimensional critical set. II. Zbl 0281.57018 Church, P. T.; Timourian, J. G. 2 1974 Continuous maps with 0-dimensional branch set. Zbl 0279.57003 Church, P. T.; Timourian, J. G. 1 1974 Differentiable open maps of (p+1)-manifold to p-manifold. Zbl 0265.57011 Church, P. T.; Timourian, J. G. 4 1973 Differentiable maps with O-dimensional critical set. I. Zbl 0236.58002 Church, P. T.; Timourian, J. G. 3 1972 Real analytic maps on manifolds. Zbl 0184.27103 Church, P. T.; Nathan, W. D. 3 1969 Fiber bundles with singularities. Zbl 0169.25901 Church, P. T.; Timourian, J. G. 4 1968 Differentiable maps with non-negative Jacobian. Zbl 0203.56501 Church, P. T. 5 1967 Differentiable monotone maps on manifolds. Zbl 0166.19704 Church, P. T. 3 1967 Factorization of differentiable maps with branch set dimension at most n- 3. Zbl 0129.39303 Church, P. T. 3 1965 Boundary images of meromorphic functions. Zbl 0154.32203 Church, P. T. 3 1964 Differentiable open maps on manifolds. Zbl 0202.54801 Church, P. T. 16 1963 Light open maps on n-manifolds. III. Zbl 0126.38702 Church, P.; Hemmingsen, E. 3 1963 Differentiable open maps. Zbl 0113.38701 Church, P. 4 1962 Extensions of Stoilow’s theorem. Zbl 0112.05403 Church, P. T. 3 1962 Global boundary behavior of meromorphic functions. Zbl 0113.05501 Church, P. T. 1 1961 Light open maps on \(n\)-manifolds. I, II. Zbl 0117.40502 Church, P. T.; Hemmingsen, E. 30 1960 Ambiguous points of a function homeomorphic inside a sphere. Zbl 0080.08405 Church, P. T. 3 1957 all cited Publications top 5 cited Publications all top 5 Cited by 150 Authors 13 Church, Philip T. 8 Timourian, J. G. 4 Luisto, Rami 4 Tomei, Carlos 3 Ganenkova, Ekaterina G. 3 Izzo, Alexander John 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 Harvey, John Matthew 2 Kauranen, Aapo 2 Lam, Ying-Fai 2 Li, Yi 2 Mandhyan, Indur B. 2 Martio, Olli 2 Micheletti, Anna Maria 2 Phạm Tiên So’n 2 Reddy, William L. 2 Rickman, Seppo Uolevi 2 Ruf, Bernhard 2 Saeki, Osamu 2 Seade, Jose Antonio 2 Smiley, Michael W. 2 Souza, Taciana O. 2 Stout, Edgar Lee 2 Tarantello, Gabriella 2 Tengvall, Ville 2 Wang, Yuwen 2 Zaccur, André 2 Zuddas, Daniele 1 Aaltonen, Martina 1 Aguilar-Cabrera, Haydée 1 Ambrosetti, Antonio 1 Andrica, Dorin 1 Antonelli, Peter Louis 1 Aseev, Vladislav Vasil’evich 1 Auckly, David R. 1 Aĭzenberg, Anton Andreevich 1 Balboni, Ferrante 1 Barreto, Alexandre Paiva 1 Baykur, Refik İnanç 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 Casals, Roger 1 Chekroun, Mickaël D. 1 Cima, Anna 1 Cisneros-Molina, José Luis 1 Clausen, Arild H. 1 Dancer, Edward Norman 1 de Góes Grulha, Nivaldo jun. 1 de Paiva, Francisco Odair 1 DeGeorge, David Lee 1 Dinh, Si Tiep 1 Duda, Edwin 1 Durfee, Alan H. 1 Fečkan, Michal 1 Feng, Chunrong 1 Fenille, Marcio Colombo 1 Fernandez García-Hierro, Manuel 1 Fernando, José F. 1 Feshchenko, Bohdan 1 Foiaș, Ciprian 1 Gasull, Armengol 1 Gavrilova, Ol’ga Vital’evna 1 Ghiloni, Riccardo 1 Giannoni, Fabio 1 Gol’dshtejn, Vladimir M. 1 Gonçalves, Daciberg Lima 1 Hartmann, Luiz 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 Kolay, Sudipta 1 Komunjer, Ivana 1 Korman, Philip L. 1 Kovtonyuk, D. A. 1 Kreusser, Lisa Maria 1 Kudryavtseva, Elena A. 1 Langseth, Magnus 1 Lazzeri, Fulvio 1 Lefton, Lew E. 1 Li, Liangpan 1 Lidman, Tye ...and 50 more Authors all top 5 Cited in 56 Serials 11 Proceedings of the American Mathematical Society 11 Nonlinear Analysis. Theory, Methods & Applications 10 Transactions of the American Mathematical Society 6 Journal of Mathematical Analysis and Applications 5 Journal of Differential Equations 4 Journal d’Analyse Mathématique 4 Journal of Functional Analysis 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 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Siberian Mathematical Journal 2 Topology and its Applications 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Russian Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 1 Houston Journal of Mathematics 1 International Journal of Solids and Structures 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Nonlinearity 1 Acta Mathematica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 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 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 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 Proceedings of the Steklov Institute of Mathematics 1 Proceedings of the International Geometry Center 1 Problemy Analiza. Issues of Analysis 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika 1 Advances in Operator Theory all top 5 Cited in 30 Fields 27 Global analysis, analysis on manifolds (58-XX) 26 Manifolds and cell complexes (57-XX) 25 Partial differential equations (35-XX) 22 Operator theory (47-XX) 16 Functions of a complex variable (30-XX) 16 Several complex variables and analytic spaces (32-XX) 9 General topology (54-XX) 8 Ordinary differential equations (34-XX) 8 Functional analysis (46-XX) 6 Real functions (26-XX) 5 Algebraic topology (55-XX) 4 Algebraic geometry (14-XX) 4 Numerical analysis (65-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of deformable solids (74-XX) 2 Mathematical logic and foundations (03-XX) 2 Integral equations (45-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 Calculus of variations and optimal control; optimization (49-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 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year