Edit Profile (opens in new tab) Vilches, Emilio Co-Author Distance Author ID: vilches.emilio Published as: Vilches, Emilio; Vilches, E. Homepage: http://www.cmm.uchile.cl/?cmm_people=emilio-vilches External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 29 Publications since 2016, including 3 Additional arXiv Preprints Co-Authors: 20 Co-Authors with 25 Joint Publications 771 Co-Co-Authors all top 5 Co-Authors 4 single-authored 9 Pérez-Aros, Pedro 5 Jourani, Abderrahim 3 Garrido, Juan Guillermo 3 Salas, David 3 Zeng, Shengda 2 Narváez, Diana 1 Cen, Jinxia 1 Colombo, Giovanni 1 Gidoni, Paolo 1 Hantoute, Abderrahim 1 Jing, Zhao 1 Liu, Zhenhai 1 Migórski, Stanisław 1 Nguyen, Bao Tran Nhan 1 Soto, Claudia 1 Thibault, Lionel 1 Torres-Valdebenito, Manuel 1 Van Ackooij, Wim 1 Wen, Chingfeng 1 Yao, Jen-Chih all top 5 Serials 4 Journal of Optimization Theory and Applications 4 Journal of Convex Analysis 3 Set-Valued and Variational Analysis 2 Applied Mathematics and Optimization 2 Discrete and Continuous Dynamical Systems 1 Journal of Differential Equations 1 SIAM Journal on Control and Optimization 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Nonlinear and Convex Analysis 1 Nonlinear Analysis. Modelling and Control 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Optimization Letters 1 Pure and Applied Functional Analysis 1 Applied Analysis and Optimization all top 5 Fields 23 Calculus of variations and optimal control; optimization (49-XX) 16 Ordinary differential equations (34-XX) 7 Operator theory (47-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operations research, mathematical programming (90-XX) 3 Partial differential equations (35-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Mechanics of deformable solids (74-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 125 times in 78 Documents Cited by ▼ Year ▼ Positively \(\alpha\)-far sets and existence results for generalized perturbed sweeping processes. Zbl 1350.49015 Jourani, A.; Vilches, E. 24 2016 Moreau-Yosida regularization of state-dependent sweeping processes with nonregular sets. Zbl 1376.34059 Jourani, Abderrahim; Vilches, Emilio 19 2017 A differential equation approach to implicit sweeping processes. Zbl 1433.49014 Jourani, Abderrahim; Vilches, Emilio 16 2019 Galerkin-like method and generalized perturbed sweeping process with nonregular sets. Zbl 1371.34103 Jourani, Abderrahim; Vilches, Emilio 10 2017 Evolution inclusions governed by time-dependent maximal monotone operators with a full domain. Zbl 1511.34072 Vilches, Emilio; Nguyen, Bao Tran 10 2020 Well-posedness of history/state-dependent implicit sweeping processes. Zbl 1447.49018 Zeng, Shengda; Vilches, Emilio 10 2020 Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction. Zbl 1513.70074 Colombo, Giovanni; Gidoni, Paolo; Vilches, Emilio 6 2022 Optimal control of an evolution hemivariational inequality involving history-dependent operators. Zbl 1477.49053 Jing, Zhao; Liu, Zhenhai; Vilches, Emilio; Wen, Chingfeng; Yao, Jen-Chih 5 2021 Regularization of perturbed state-dependent sweeping processes with nonregular sets. Zbl 1462.34089 Vilches, Emilio 5 2018 Determination of convex functions via subgradients of minimal norm. Zbl 1482.26018 Pérez-Aros, Pedro; Salas, David; Vilches, Emilio 5 2021 Lyapunov pairs for perturbed sweeping processes. Zbl 1422.49008 Hantoute, Abderrahim; Vilches, Emilio 4 2018 On smoothness of solutions to projected differential equations. Zbl 1418.49011 Salas, David; Thibault, Lionel; Vilches, Emilio 3 2019 On formulae for the Ioffe geometric subdifferential of a supremum function. Zbl 1440.49017 Pérez-Aros, Pedro; Salas, David; Vilches, Emilio 3 2020 An enhanced Baillon-Haddad theorem for convex functions defined on convex sets. Zbl 07371839 Pérez-Aros, Pedro; Vilches, Emilio 2 2021 Moreau-Yosida regularization of degenerate state-dependent sweeping processes. Zbl 1503.34111 Narváez, Diana; Vilches, Emilio 1 2022 A differential equation approach to evolutionary quasi-variational inequalities arising in contact problems. Zbl 1490.49013 Vilches, Emilio 1 2022 Existence and Lyapunov pairs for the perturbed sweeping process governed by a fixed set. Zbl 1432.34081 Vilches, Emilio 1 2019 Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction. Zbl 1513.70074 Colombo, Giovanni; Gidoni, Paolo; Vilches, Emilio 6 2022 Moreau-Yosida regularization of degenerate state-dependent sweeping processes. Zbl 1503.34111 Narváez, Diana; Vilches, Emilio 1 2022 A differential equation approach to evolutionary quasi-variational inequalities arising in contact problems. Zbl 1490.49013 Vilches, Emilio 1 2022 Optimal control of an evolution hemivariational inequality involving history-dependent operators. Zbl 1477.49053 Jing, Zhao; Liu, Zhenhai; Vilches, Emilio; Wen, Chingfeng; Yao, Jen-Chih 5 2021 Determination of convex functions via subgradients of minimal norm. Zbl 1482.26018 Pérez-Aros, Pedro; Salas, David; Vilches, Emilio 5 2021 An enhanced Baillon-Haddad theorem for convex functions defined on convex sets. Zbl 07371839 Pérez-Aros, Pedro; Vilches, Emilio 2 2021 Evolution inclusions governed by time-dependent maximal monotone operators with a full domain. Zbl 1511.34072 Vilches, Emilio; Nguyen, Bao Tran 10 2020 Well-posedness of history/state-dependent implicit sweeping processes. Zbl 1447.49018 Zeng, Shengda; Vilches, Emilio 10 2020 On formulae for the Ioffe geometric subdifferential of a supremum function. Zbl 1440.49017 Pérez-Aros, Pedro; Salas, David; Vilches, Emilio 3 2020 A differential equation approach to implicit sweeping processes. Zbl 1433.49014 Jourani, Abderrahim; Vilches, Emilio 16 2019 On smoothness of solutions to projected differential equations. Zbl 1418.49011 Salas, David; Thibault, Lionel; Vilches, Emilio 3 2019 Existence and Lyapunov pairs for the perturbed sweeping process governed by a fixed set. Zbl 1432.34081 Vilches, Emilio 1 2019 Regularization of perturbed state-dependent sweeping processes with nonregular sets. Zbl 1462.34089 Vilches, Emilio 5 2018 Lyapunov pairs for perturbed sweeping processes. Zbl 1422.49008 Hantoute, Abderrahim; Vilches, Emilio 4 2018 Moreau-Yosida regularization of state-dependent sweeping processes with nonregular sets. Zbl 1376.34059 Jourani, Abderrahim; Vilches, Emilio 19 2017 Galerkin-like method and generalized perturbed sweeping process with nonregular sets. Zbl 1371.34103 Jourani, Abderrahim; Vilches, Emilio 10 2017 Positively \(\alpha\)-far sets and existence results for generalized perturbed sweeping processes. Zbl 1350.49015 Jourani, A.; Vilches, E. 24 2016 all cited Publications top 5 cited Publications all top 5 Cited by 111 Authors 13 Vilches, Emilio 8 Thibault, Lionel 7 Nacry, Florent 5 Azzam-Laouir, Dalila 5 Zeng, Shengda 4 Adly, Samir 4 Jourani, Abderrahim 4 Makarenkov, Oleg Yuryĭovych 4 Yarou, Mustapha Fateh 3 Affane, Doria 3 Liu, Zhenhai 3 Monteiro Marques, Manuel D. P. 3 Mordukhovich, Boris S. 3 Salas, David 3 Tolstonogov, Aleksandr Aleksandrovich 2 Bouach, Abderrahim 2 Brogliato, Bernard 2 Colombo, Giovanni 2 Daniilidis, Aris 2 Gudoshnikov, Ivan 2 Haddad, Tahar 2 Krejčí, Pavel 2 Le, Ba Khiet 2 Monteiro, Giselle Antunes 2 Narváez, Diana 2 Nguyen, Dao 2 Papageorgiou, Nikolaos S. 2 Pérez-Aros, Pedro 2 Rachinskii, Dmitrii I. 2 Recupero, Vincenzo 2 Saïdi, Soumia 2 Selamnia, Fatiha 2 Sofonea, Mircea 2 Tanwani, Aneel 2 Thieu, Nguyen Nang 1 Alasseur, Clemence 1 Albelo-Cortes, Josean 1 Aliouane, Fatine 1 Barboteu, Mikaël 1 Bonaldi, Francesco 1 Bonnans, Joseph Frédéric 1 Boudjerida, Nouha 1 Bouhali, Nesrine 1 Cai, Zuowei 1 Camlibel, Kanat M. 1 Cao, Jinde 1 Cao, Tan H. 1 Castaing, Charles 1 Ceng, Lu-Chuan 1 Chen, Jun 1 Cojocaru, Monica-Gabriela 1 Correa, Rafael Augusto Couceiro 1 Danan, David 1 De Paola, Antonio 1 Dib, Karima 1 Drusvyatskiy, Dmitriy 1 El-Hadri, Soad 1 Fennour, Fatima 1 Fetouci, Nora 1 Gidoni, Paolo 1 Han, Jiangfeng 1 Hantoute, Abderrahim 1 Hao, Jianwei 1 Henrion, René 1 Huang, Lihong 1 Hung, Nguyen Van 1 Iannelli, Luigi 1 Johnson, Murugesan 1 Jothimani, Kasthurisamy 1 Kamenskiĭ, Mikhaĭl Igor’evich 1 Keller, André A. 1 Khan, Akhtar Ali 1 Li, Yueyang 1 Liao, Shanli 1 Liu, Yongjian 1 Lomovtsev, Fiodar E. 1 López-Cerdá, Marco Antonio 1 Lounis, Sabrina 1 Margheri, Alessandro 1 Mecemma, Imene 1 Migórski, Stanisław 1 Migot, Tangi 1 Nguyen, Bao Tran Nhan 1 Noel, Jimmy 1 Nour, Chadi 1 Obukhovskiĭ, Valeriĭ Vladimirovich 1 Oudjane, Nadia 1 Panda, Sumati Kumari 1 Pandey, Rupesh Krishna 1 Rădulescu, Vicenţiu D. 1 Rebelo, Carlota 1 Saoud, Hassan 1 Seguret, Adrien 1 Timoshin, Sergey A. 1 Treanţă, Savin 1 Trovato, Vincenzo 1 Upadhyay, Balendu Bhooshan 1 Valliammal, Natarajan 1 Vijayakumar, Velusamy 1 Wachsmuth, Daniel ...and 11 more Authors all top 5 Cited in 38 Serials 8 Journal of Optimization Theory and Applications 7 Set-Valued and Variational Analysis 6 Journal of Differential Equations 5 Journal of Convex Analysis 3 Applicable Analysis 3 Applied Mathematics and Optimization 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Fixed Point Theory and Applications 3 Journal of Nonlinear and Variational Analysis 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Optimization 2 Mathematical Programming. Series A. Series B 2 SIAM Journal on Optimization 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Open Mathematics 1 Journal of Mathematical Analysis and Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Siberian Mathematical Journal 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Computational and Applied Mathematics 1 Bulletin des Sciences Mathématiques 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Sbornik: Mathematics 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Modelling and Control 1 Discrete and Continuous Dynamical Systems. Series B 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Journal of Industrial and Management Optimization 1 Optimization Letters 1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 1 Science China. Mathematics 1 Mathematical Control and Related Fields 1 Evolution Equations and Control Theory 1 Fixed Point Theory and Algorithms for Sciences and Engineering all top 5 Cited in 20 Fields 53 Calculus of variations and optimal control; optimization (49-XX) 39 Ordinary differential equations (34-XX) 32 Operator theory (47-XX) 11 Mechanics of deformable solids (74-XX) 11 Operations research, mathematical programming (90-XX) 10 Real functions (26-XX) 9 Systems theory; control (93-XX) 6 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Numerical analysis (65-XX) 5 Partial differential equations (35-XX) 5 Mechanics of particles and systems (70-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year