Edit Profile (opens in new tab) Padilla, Pablo Co-Author Distance Author ID: padilla.pablo Published as: Padilla, Pablo; Padilla, P. Documents Indexed: 33 Publications since 1996, including 4 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 43 Co-Authors with 23 Joint Publications 912 Co-Co-Authors all top 5 Co-Authors 6 single-authored 4 Garza-Hume, Clara E. 3 Bravetti, Alessandro 3 Rodríguez-Ramos, Reinaldo 3 Sánchez-Garduño, Faustino 2 Castillo, Jorge A. 2 Iturriaga, Renato 2 Pobedrya, Boris Efimovich 2 Sánchez-Morgado, Héctor 2 Tonegawa, Yoshihiro 1 Álvarez-Buylla, Elena R. 1 Anantharaman, Nalini 1 Báez, Ángel 1 Barrio, Rafael Álvarez-Nóvoa 1 Benítez, Mariana 1 Bladt, Mogens 1 Bravo-Castillero, Julián 1 Castaneira, Reynaldo 1 Chaos, Álvaro 1 Cherednichenko, Kirill D. 1 Corichi, Alejandro 1 Cortes-Poza, Yuriria 1 Cortés, Yuiria 1 Cruz-Pacheco, Gustavo 1 del Rio Guerra, Heberto 1 Elizondo, Rocio 1 Escalera-Santos, Gerardo 1 Espinosa, Carlos 1 Flores, Gilberto 1 García-Ariza, Miguel Ángel 1 Gomes, Diogo Luís Aguiar 1 Guinovart-Díaz, Raúl 1 Iglesias-Rodríguez, Ernesto 1 Juárez, Gerardo 1 Khanin, Konstantin M. 1 Knights, Francis 1 Krause, Andrew L. 1 Lemus, E. 1 Lobato, Alan 1 Maini, Philip Kumar 1 Maugin, Gérard A. 1 Méndez, Enrique 1 Mijangos, Martin 1 Minzoni, Antonmaria Alessio 1 Padilla-Garza, David 1 Plaza, Ramón G. 1 Quiroga, R. Quian 1 Ramírez-Trocherie, Marcel-André 1 Rosenbaum, Marcos 1 Ruiz, Adrián Tonatiuh 1 Ryan, Michael P. jun. 1 Signoret, Carlos J. E. 1 Smyth, Noel Frederick 1 Tidhar, Dan all top 5 Serials 3 Electronic Journal of Differential Equations (EJDE) 2 Journal of Differential Equations 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Bulletin of Mathematical Biology 1 Automatica 1 Mechanics Research Communications 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 The Journal of Geometric Analysis 1 Journal of Dynamics and Differential Equations 1 Archive of Applied Mechanics 1 Communications in Analysis and Geometry 1 Topological Methods in Nonlinear Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Moscow Mathematical Journal 1 Stochastic Models 1 Analysis and Applications (Singapore) 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Aportaciones Matemáticas. Comunicaciones 1 Journal of Theoretical Biology 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 15 Partial differential equations (35-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Ordinary differential equations (34-XX) 5 Mechanics of deformable solids (74-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Differential geometry (53-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 194 times in 164 Documents Cited by ▼ Year ▼ The effect of growth and curvature on pattern formation. Zbl 1073.35117 Plaza, R. G.; Sánchez-Garduño, F.; Padilla, P.; Barrio, R. A.; Maini, P. K. 52 2004 Turing-Hopf patterns on growing domains: the torus and the sphere. Zbl 1422.92020 Sánchez-Garduño, Faustino; Krause, Andrew L.; Castillo, Jorge A.; Padilla, Pablo 21 2019 Viscosity limit of stationary distributions for the random forced Burgers equation. Zbl 1115.35081 Gomes, Diogo; Iturriaga, Renato; Khanin, Konstantin; Padilla, Pablo 18 2005 Physical solutions of the Hamilton-Jacobi equation. Zbl 1081.37036 Anantharaman, Nalini; Iturriaga, Renato; Padilla, Pablo; Sánchez-Morgado, Héctor 18 2005 Symmetry properties of positive solutions of elliptic equations on symmetric domains. Zbl 0942.35084 Padilla, Pablo 18 1997 Higher energy solutions in the theory of phase transitions: A variational approach. Zbl 0970.35037 Flores, Gilberto; Padilla, Pablo; Tonegawa, Yoshihiro 17 2001 On the convergence of stable phase transitions. Zbl 0955.58011 Padilla, Pablo; Tonegawa, Yoshihiro 14 1998 A Turing-Hopf bifurcation scenario for pattern formation on growing domains. Zbl 1361.92009 Castillo, Jorge A.; Sánchez-Garduño, Faustino; Padilla, Pablo 9 2016 Closed geodesics on oval surfaces and pattern formation. Zbl 1078.53029 Garza-Hume, C. E.; Padilla, P. 9 2003 Variational principles for nonlinear piezoelectric materials. Zbl 1097.74018 Rodríguez-Ramos, R.; Pobedria, B. E.; Padilla, P.; Bravo-Castillero, J.; Guinovart-Díaz, R.; Maugin, G. A. 4 2004 The effect of the shape of the domain on the existence of solutions of an equation involving the critical Sobolev exponent. Zbl 0838.35042 Padilla, Pablo 3 1996 The principal eigenvalue and maximum principle for second order elliptic operators on Riemannian manifolds. Zbl 0892.58082 Padilla, Pablo 3 1997 Thermodynamics and evolutionary biology through optimal control. Zbl 1430.49052 Bravetti, Alessandro; Padilla, Pablo 2 2019 A pattern formation problem on the sphere. Zbl 1128.35019 Garza-Hume, Clara E.; Padilla, Pablo 1 2007 Geodesics, soap bubbles and pattern formation in Riemannian surfaces. Zbl 1085.49047 del Rio Guerra, H.; Garza-Hume, C. E.; Padilla, P. 1 2003 Pricing derivatives incorporating structural market changes and in time correlation. Zbl 1151.91050 Bladt, Mogens; Méndez, Enrique; Padilla, Pablo 1 2008 A priori bounds for elliptic equations. Zbl 0890.35017 Lemus, E.; Padilla, P. 1 1997 Existence of nonminimal quasiperiodic solutions for second order equations. Zbl 1028.37038 Padilla, Pablo 1 2002 An analytical approach to Merton’s rational option pricing theory. Zbl 1152.91507 Elizondo, Rocio; Padilla, Pablo 1 2008 Hopf bifurcation for a fractional Van der Pol oscillator and applications to aerodynamics: implications in flutter. Zbl 1524.74462 Juárez, Gerardo; Ramírez-Trocherie, Marcel-André; Báez, Ángel; Lobato, Alan; Iglesias-Rodríguez, Ernesto; Padilla, Pablo; Rodríguez-Ramos, Reinaldo 1 2023 Hopf bifurcation for a fractional Van der Pol oscillator and applications to aerodynamics: implications in flutter. Zbl 1524.74462 Juárez, Gerardo; Ramírez-Trocherie, Marcel-André; Báez, Ángel; Lobato, Alan; Iglesias-Rodríguez, Ernesto; Padilla, Pablo; Rodríguez-Ramos, Reinaldo 1 2023 Turing-Hopf patterns on growing domains: the torus and the sphere. Zbl 1422.92020 Sánchez-Garduño, Faustino; Krause, Andrew L.; Castillo, Jorge A.; Padilla, Pablo 21 2019 Thermodynamics and evolutionary biology through optimal control. Zbl 1430.49052 Bravetti, Alessandro; Padilla, Pablo 2 2019 A Turing-Hopf bifurcation scenario for pattern formation on growing domains. Zbl 1361.92009 Castillo, Jorge A.; Sánchez-Garduño, Faustino; Padilla, Pablo 9 2016 Pricing derivatives incorporating structural market changes and in time correlation. Zbl 1151.91050 Bladt, Mogens; Méndez, Enrique; Padilla, Pablo 1 2008 An analytical approach to Merton’s rational option pricing theory. Zbl 1152.91507 Elizondo, Rocio; Padilla, Pablo 1 2008 A pattern formation problem on the sphere. Zbl 1128.35019 Garza-Hume, Clara E.; Padilla, Pablo 1 2007 Viscosity limit of stationary distributions for the random forced Burgers equation. Zbl 1115.35081 Gomes, Diogo; Iturriaga, Renato; Khanin, Konstantin; Padilla, Pablo 18 2005 Physical solutions of the Hamilton-Jacobi equation. Zbl 1081.37036 Anantharaman, Nalini; Iturriaga, Renato; Padilla, Pablo; Sánchez-Morgado, Héctor 18 2005 The effect of growth and curvature on pattern formation. Zbl 1073.35117 Plaza, R. G.; Sánchez-Garduño, F.; Padilla, P.; Barrio, R. A.; Maini, P. K. 52 2004 Variational principles for nonlinear piezoelectric materials. Zbl 1097.74018 Rodríguez-Ramos, R.; Pobedria, B. E.; Padilla, P.; Bravo-Castillero, J.; Guinovart-Díaz, R.; Maugin, G. A. 4 2004 Closed geodesics on oval surfaces and pattern formation. Zbl 1078.53029 Garza-Hume, C. E.; Padilla, P. 9 2003 Geodesics, soap bubbles and pattern formation in Riemannian surfaces. Zbl 1085.49047 del Rio Guerra, H.; Garza-Hume, C. E.; Padilla, P. 1 2003 Existence of nonminimal quasiperiodic solutions for second order equations. Zbl 1028.37038 Padilla, Pablo 1 2002 Higher energy solutions in the theory of phase transitions: A variational approach. Zbl 0970.35037 Flores, Gilberto; Padilla, Pablo; Tonegawa, Yoshihiro 17 2001 On the convergence of stable phase transitions. Zbl 0955.58011 Padilla, Pablo; Tonegawa, Yoshihiro 14 1998 Symmetry properties of positive solutions of elliptic equations on symmetric domains. Zbl 0942.35084 Padilla, Pablo 18 1997 The principal eigenvalue and maximum principle for second order elliptic operators on Riemannian manifolds. Zbl 0892.58082 Padilla, Pablo 3 1997 A priori bounds for elliptic equations. Zbl 0890.35017 Lemus, E.; Padilla, P. 1 1997 The effect of the shape of the domain on the existence of solutions of an equation involving the critical Sobolev exponent. Zbl 0838.35042 Padilla, Pablo 3 1996 all cited Publications top 5 cited Publications all top 5 Cited by 275 Authors 10 Krause, Andrew L. 8 Yang, Jun 7 Wei, Juncheng 6 Bakhtin, Yuri Yu. 6 Gaffney, Eamonn A. 6 Madzvamuse, Anotida 5 Wei, Suting 4 Khanin, Konstantin M. 4 Soga, Kohei 4 van Gorder, Robert Ashton 4 Wu, Jianglun 4 Zhou, Guoli 3 Bandle, Catherine 3 Barreira, Raquel 3 Boritchev, Alexandre 3 Cardin, Franco 3 Del Pino, Manuel A. 3 Klika, Václav 3 Maini, Philip Kumar 3 Melgaard, Michael 3 Padilla, Pablo 3 Sánchez-Garduño, Faustino 3 Ward, Michael J. 3 Yu, Yifeng 2 Barrio, Rafael Álvarez-Nóvoa 2 Bidaut-Veron, Marie-Françoise 2 Bravetti, Alessandro 2 Castillo, Jorge A. 2 Dong, Zhao 2 Du, Zhuoran 2 Dunlap, Alexander 2 Elliott, Charles M. 2 Enstedt, Mattias 2 Frittelli, Massimo 2 Fusco, Giorgio 2 Gomes, Diogo Luís Aguiar 2 Guo, Boling 2 Hong, Li 2 Hurdal, Monica K. 2 Kim, Junseok 2 Kowalczyk, Michał 2 Lan, Kunquan 2 Lin, Zhigui 2 Lopes, Artur Oscar 2 Mitake, Hiroyoshi 2 Miyamoto, Yasuhito 2 Nagata, Wayne 2 Ponce, Augusto C. 2 Prajapat, Jyotshana V. 2 Punzo, Fabio 2 Sánchez-Morgado, Héctor 2 Sgura, Ivonne 2 Tang, Qiulin 2 Tonegawa, Yoshihiro 2 Toole, Gregory 2 Véron, Laurent 2 Wang, Weimin 2 Woolley, Thomas E. 2 Xin, Jack X. 2 Zanelli, Lorenzo 2 Zhang, Chunrui 2 Zhang, Lai 1 Agarwal, Dhwanit 1 Agudelo, Oscar Mauricio 1 Argaez, Carlos 1 Asllani, Malbor 1 Astuto, Clarissa 1 Avitabile, Daniele 1 Bao, Jiguang 1 Bellettini, Giovanni 1 Benguria, Rafael D. 1 Bravo-Castillero, Julián 1 Breña-Medina, Víctor F. 1 Brézis, Haïm 1 Brito-Santana, Humberto 1 Brock, Friedemann 1 Bueno, Antonio 1 Calvo, Juan G. 1 Camilli, Fabio 1 Capone, Florinda 1 Carfora, Maria Francesca 1 Carletti, Timoteo 1 Cator, Eric A. 1 Chacón-Acosta, Guillermo 1 Champneys, Alan R. 1 Charette, Laurent 1 Chen, Liping 1 Chen, Mengxin 1 Chen, Senming 1 Choi, Jaewon 1 Choi, Woocheol 1 Choi, Yongho 1 Coco, Armando 1 Comanici, Adela N. 1 Cusimano, Valerio 1 Dai, Shibin 1 Dalchau, Neil 1 De Gaetano, Andrea 1 De Luca, Roberta 1 del Rio Guerra, Heberto ...and 175 more Authors all top 5 Cited in 78 Serials 11 Journal of Differential Equations 11 Calculus of Variations and Partial Differential Equations 8 Bulletin of Mathematical Biology 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Computers & Mathematics with Applications 5 Journal of Mathematical Analysis and Applications 5 Nonlinearity 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Journal of Mathematical Biology 4 Communications on Pure and Applied Analysis 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Journal d’Analyse Mathématique 3 Journal of Computational Physics 3 Journal of Statistical Physics 3 Acta Applicandae Mathematicae 3 Discrete and Continuous Dynamical Systems 2 Physica A 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Advances in Mathematics 2 The Annals of Probability 2 Transactions of the American Mathematical Society 2 Physica D 2 Journal of Scientific Computing 2 Geometric and Functional Analysis. GAFA 2 SIAM Journal on Mathematical Analysis 2 Journal of Dynamics and Differential Equations 2 Acta Mathematica Sinica. English Series 2 Journal of Evolution Equations 2 Bulletin of the Brazilian Mathematical Society. New Series 2 SIAM Journal on Applied Dynamical Systems 2 Journal of Theoretical Biology 2 Stochastic and Partial Differential Equations. Analysis and Computations 1 Acta Mechanica 1 Applicable Analysis 1 Journal of Fluid Mechanics 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Statistics & Probability Letters 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Annals of Physics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Archive of Applied Mechanics 1 Journal of Nonlinear Science 1 NoDEA. Nonlinear Differential Equations and Applications 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Communications in Contemporary Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Miscelánea Matemática 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 International Journal of Geometric Methods in Modern Physics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Physics A: Mathematical and Theoretical 1 Advances in Calculus of Variations 1 Advances in Mathematical Physics 1 Journal of Computational Dynamics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Electronic Research Archive all top 5 Cited in 24 Fields 127 Partial differential equations (35-XX) 34 Biology and other natural sciences (92-XX) 32 Dynamical systems and ergodic theory (37-XX) 20 Numerical analysis (65-XX) 16 Probability theory and stochastic processes (60-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Fluid mechanics (76-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Differential geometry (53-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Ordinary differential equations (34-XX) 6 Operator theory (47-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Mechanics of deformable solids (74-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year