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## Ávila, Andrés I.

Compute Distance To:
 Author ID: avila.andres-i Published as: Ávila, Andrés I.; Ávila, Andrés; Ávila, A. I.; Avila, A.
 Documents Indexed: 19 Publications since 1994
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#### Co-Authors

 1 single-authored 4 Meister, Andreas 3 Yang, Jianfu 2 Brock, Friedemann 2 Griso, Georges 2 Kopecz, Stefan 2 Miara, Bernadette 2 Steigemann, Martin 1 Albuja, Guillermo 1 Diaz, Pablo 1 Felmer, Patricio L. 1 González, Galo Javier 1 Jeanjean, Louis 1 Jeison, David 1 Laroze, David 1 Mairet, Francis 1 Malomed, Boris A. 1 Meier, Leslie 1 Muñoz Rivera, Jaime Edilberto 1 Rohan, Eduard 1 Wan, Youyan
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#### Serials

 4 Applied Numerical Mathematics 3 Journal of Mathematical Analysis and Applications 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Computational and Applied Mathematics 1 Dynamic Systems and Applications 1 SIAM Journal on Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation
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#### Fields

 14 Partial differential equations (35-XX) 5 Numerical analysis (65-XX) 3 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

13 Publications have been cited 133 times in 109 Documents Cited by Year
On the existence and shape of least energy solutions for some elliptic systems. Zbl 1109.35325
Ávila, Andrés I.; Yang, Jianfu
2003
Multiple solutions of nonlinear elliptic systems. Zbl 1146.35346
Ávila, Andrés I.; Yang, Jianfu
2005
Multiscale modeling of elastic waves: Theoretical justification and numerical simulation of band gaps. Zbl 1156.35311
Ávila, Andrés I.; Griso, G.; Miara, B.; Rohan, E.
2008
Rates of decay to non homogeneous Timoshenko model with tip body. Zbl 1311.35031
Muñoz Rivera, Jaime E.; Ávila, Andrés I.
2015
Asymptotics at infinity of solutions for $$p$$-Laplace equations in exterior domains. Zbl 1152.35032
Ávila, Andrés I.; Brock, Friedemann
2008
Periodic and subharmonic solutions for a class of second order Hamiltonian systems. Zbl 0815.34025
Ávila, Andrés I.; Felmer, Patricio L.
1994
Phononic band gaps in linearized elasticity. (Bandes phononiques interdites en élasticité linéarisée.) Zbl 1116.74027
Ávila, Andrés; Griso, Georges; Miara, Bernadette
2005
Multiple solutions of a coupled nonlinear Schrödinger system. Zbl 1387.35557
Wan, Youyan; Ávila, Andrés I.
2007
Stability results for the first eigenvalue of the Laplacian on domains in space forms. Zbl 1189.35200
Ávila, Andrés I.
2002
On numerical methods for nonlinear singularly perturbed Schrödinger problems. Zbl 1310.65117
Ávila, A. I.; Meister, A.; Steigemann, M.
2014
A result on singularly perturbed elliptic problems. Zbl 1129.35366
Ávila, Andrés; Jeanjean, Louis
2005
An adaptive Galerkin method for the time-dependent complex Schrödinger equation. Zbl 1372.65268
Ávila, A. I.; Meister, A.; Steigemann, M.
2017
Modeling and analysis of an absorption column connected to a microalgae culture. Zbl 1437.34060
Martinez, Carlos; Ávila, Andrés; Mairet, Francis; Meier, Leslie; Jeison, David
2020
Modeling and analysis of an absorption column connected to a microalgae culture. Zbl 1437.34060
Martinez, Carlos; Ávila, Andrés; Mairet, Francis; Meier, Leslie; Jeison, David
2020
An adaptive Galerkin method for the time-dependent complex Schrödinger equation. Zbl 1372.65268
Ávila, A. I.; Meister, A.; Steigemann, M.
2017
Rates of decay to non homogeneous Timoshenko model with tip body. Zbl 1311.35031
Muñoz Rivera, Jaime E.; Ávila, Andrés I.
2015
On numerical methods for nonlinear singularly perturbed Schrödinger problems. Zbl 1310.65117
Ávila, A. I.; Meister, A.; Steigemann, M.
2014
Multiscale modeling of elastic waves: Theoretical justification and numerical simulation of band gaps. Zbl 1156.35311
Ávila, Andrés I.; Griso, G.; Miara, B.; Rohan, E.
2008
Asymptotics at infinity of solutions for $$p$$-Laplace equations in exterior domains. Zbl 1152.35032
Ávila, Andrés I.; Brock, Friedemann
2008
Multiple solutions of a coupled nonlinear Schrödinger system. Zbl 1387.35557
Wan, Youyan; Ávila, Andrés I.
2007
Multiple solutions of nonlinear elliptic systems. Zbl 1146.35346
Ávila, Andrés I.; Yang, Jianfu
2005
Phononic band gaps in linearized elasticity. (Bandes phononiques interdites en élasticité linéarisée.) Zbl 1116.74027
Ávila, Andrés; Griso, Georges; Miara, Bernadette
2005
A result on singularly perturbed elliptic problems. Zbl 1129.35366
Ávila, Andrés; Jeanjean, Louis
2005
On the existence and shape of least energy solutions for some elliptic systems. Zbl 1109.35325
Ávila, Andrés I.; Yang, Jianfu
2003
Stability results for the first eigenvalue of the Laplacian on domains in space forms. Zbl 1189.35200
Ávila, Andrés I.
2002
Periodic and subharmonic solutions for a class of second order Hamiltonian systems. Zbl 0815.34025
Ávila, Andrés I.; Felmer, Patricio L.
1994
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#### Cited by 147 Authors

 9 Tang, Xianhua 8 Zhang, Jian 7 Zhang, Wen 6 Zhao, Fukun 5 Drábek, Pavel 5 Rohan, Eduard 4 Alves, Claudianor Oliveira 4 Alves, Margareth Silva 4 Ding, Yanheng 4 Ramos, Miguel 4 Wang, Jun 4 Zhang, Fubao 4 Zhao, Leiga 3 Ambrosio, Vincenzo 3 Ávila, Andrés I. 3 Bouchitté, Guy 3 Chhetri, Maya 3 Cooper, Shane 3 Jiang, Meiyue 3 Jorge da Silva, Marcio Antonio 3 Miara, Bernadette 3 Milton, Graeme Walter 3 Tang, Chun-Lei 3 Tavares, Hugo 3 Xu, Junxiang 2 Ammari, Habib M. 2 Bertrand, Jérôme 2 Bourel, Christophe 2 Caiazzo, Alfonso 2 Endo, Takahiro 2 Felbacq, Didier 2 Jiang, Juan 2 Jiwari, Ram 2 Lee, Hyundae 2 Liao, Fangfang 2 Liu, Weiming 2 Ma, To Fu 2 Matsuno, Fumitoshi 2 Monteiro, Rodrigo Nunes 2 Muñoz Rivera, Jaime Edilberto 2 Mura, Joaquín 2 Qin, Dongdong 2 Sankar, Lakshmi N. 2 Seppecher, Pierre 2 Shivaji, Ratnasingham 2 Wu, Xingping 1 Abdellatif, Nahla 1 Almeida Júnior, Dilberto da Silva 1 Alves, Michele O. 1 Anderson Cardoso, J. 1 Anoop, T. V. 1 Aubry, Erwann 1 Awrejcewicz, Jan 1 Bacigalupo, Andrea 1 Bellieud, Michel 1 Benaissa, Abbes 1 Benazzouz, Sohbi 1 Bonheure, Denis 1 Brasco, Lorenzo 1 Briane, Marc 1 Brock, Friedemann 1 Byeon, Jaeyoung 1 Caixeta, Arthur Henrique 1 Casado-Díaz, Juan 1 Chen, Jianhua 1 Chen, Kuan-Ju 1 Chergui, Thiziri 1 Cimrman, Robert 1 Colbois, Bruno 1 Dancer, Edward Norman 1 Daners, Daniel 1 de Medeiros, Everaldo S. 1 De Philippis, Guido 1 Do Ó, João M. Bezerra 1 Duan, Shengzhong 1 Fall, Mouhamed Moustapha 1 Fan, Ming 1 Fekih-Salem, Radhouane 1 Glushkov, Evgeniĭ Viktorovich 1 Glushkova, Natalia V. 1 Gong, Yanping 1 Han, Houde 1 Hauer, Daniel 1 Ji, Guanghua 1 Jia, Yingmin 1 Jiang, Qin 1 Kamotski, Ilia V. 1 Kang, Hyeonbae 1 Krishnasamy, Vidhya 1 Kuang, Qiaoyan 1 Kutsenko, Anton A. 1 Lee, Cheng 1 Lee, Youngae 1 Li, Fengquan 1 Li, Gongbao 1 Li, Jianli 1 Li, Quanqing 1 Li, Xiaohong 1 Liao, Liming 1 Lin, Xiaoyan ...and 47 more Authors
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#### Cited in 52 Serials

 14 Journal of Mathematical Analysis and Applications 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Journal of Differential Equations 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Boundary Value Problems 4 Calculus of Variations and Partial Differential Equations 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Applicable Analysis 3 Mathematical Methods in the Applied Sciences 3 Advances in Nonlinear Analysis 2 Archive for Rational Mechanics and Analysis 2 Applied Mathematics and Computation 2 Transactions of the American Mathematical Society 2 SIAM Journal on Mathematical Analysis 2 Nonlinear Dynamics 2 Positivity 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 Complex Variables and Elliptic Equations 1 International Journal of Control 1 International Journal of Engineering Science 1 Journal of Mathematical Physics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 Annales de l’Institut Fourier 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Meccanica 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 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 SIAM Journal on Applied Mathematics 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Discrete Dynamics in Nature and Society 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Portugaliae Mathematica. Nova Série 1 Advanced Nonlinear Studies 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Multiscale Modeling & Simulation 1 Mediterranean Journal of Mathematics 1 Science China. Mathematics 1 East Asian Journal on Applied Mathematics
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#### Cited in 16 Fields

 92 Partial differential equations (35-XX) 23 Mechanics of deformable solids (74-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Operator theory (47-XX) 8 Ordinary differential equations (34-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Biology and other natural sciences (92-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)