# zbMATH — the first resource for mathematics

## Ferriero, Alessandro

Compute Distance To:
 Author ID: ferriero.alessandro Published as: Ferriero, Alessandro; Ferriero, A.
 Documents Indexed: 15 Publications since 2003

#### Co-Authors

 8 single-authored 3 Marchini, Elsa Maria 1 Allaire, Grégoire 1 Dacorogna, Bernard 1 Fusco, Nicola
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#### Serials

 3 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Differential Equations 2 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Analysis and Applications 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Insurance Mathematics & Economics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Differential and Integral Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
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#### Fields

 12 Calculus of variations and optimal control; optimization (49-XX) 4 Partial differential equations (35-XX) 2 Mechanics of deformable solids (74-XX) 1 Ordinary differential equations (34-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

11 Publications have been cited 46 times in 39 Documents Cited by Year
Existence of Lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case. Zbl 1030.49039
Cellina, A.; Ferriero, A.
2003
A note on the convex hull of sets of finite perimeter in the plane. Zbl 1158.49044
Ferriero, Alessandro; Fusco, Nicola
2009
The approximation of higher-order integrals of the calculus of variations and the Lavrentiev phenomenon. Zbl 1083.49005
Ferriero, Alessandro
2005
Reparametrizations and approximate values of integrals of the calculus of variations. Zbl 1058.49009
Cellina, A.; Ferriero, A.; Marchini, E. M.
2003
Relaxation and regularity in the calculus of variations. Zbl 1198.49034
Ferriero, Alessandro
2010
Quasi-static evolution for fatigue debonding. Zbl 1133.74041
Ferriero, Alessandro
2008
A direct proof of the Tonelli’s partial regularity result. Zbl 1248.49051
Ferriero, Alessandro
2012
On the existence of solutions to a class of minimum time control problems and applications to Fermat’s principle and to the brachystocrone. Zbl 1129.49301
Cellina, A.; Ferriero, A.; Marchini, E. M.
2006
On the Tonelli’s partial regularity. Zbl 1289.49041
Ferriero, Alessandro
2013
Regularity and selecting principles for implicit ordinary differential equations. Zbl 1170.34007
Dacorogna, Bernard; Ferriero, Alessandro
2009
Action functionals that attain regular minima in presence of energy gaps. Zbl 1159.49008
Ferriero, Alessandro
2007
On the Tonelli’s partial regularity. Zbl 1289.49041
Ferriero, Alessandro
2013
A direct proof of the Tonelli’s partial regularity result. Zbl 1248.49051
Ferriero, Alessandro
2012
Relaxation and regularity in the calculus of variations. Zbl 1198.49034
Ferriero, Alessandro
2010
A note on the convex hull of sets of finite perimeter in the plane. Zbl 1158.49044
Ferriero, Alessandro; Fusco, Nicola
2009
Regularity and selecting principles for implicit ordinary differential equations. Zbl 1170.34007
Dacorogna, Bernard; Ferriero, Alessandro
2009
Quasi-static evolution for fatigue debonding. Zbl 1133.74041
Ferriero, Alessandro
2008
Action functionals that attain regular minima in presence of energy gaps. Zbl 1159.49008
Ferriero, Alessandro
2007
On the existence of solutions to a class of minimum time control problems and applications to Fermat’s principle and to the brachystocrone. Zbl 1129.49301
Cellina, A.; Ferriero, A.; Marchini, E. M.
2006
The approximation of higher-order integrals of the calculus of variations and the Lavrentiev phenomenon. Zbl 1083.49005
Ferriero, Alessandro
2005
Existence of Lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case. Zbl 1030.49039
Cellina, A.; Ferriero, A.
2003
Reparametrizations and approximate values of integrals of the calculus of variations. Zbl 1058.49009
Cellina, A.; Ferriero, A.; Marchini, E. M.
2003
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#### Cited by 55 Authors

 4 Frankowska, Hélène 3 Bettiol, Piernicola 3 Cellina, Arrigo 3 Cupini, Giovanni 3 Gratwick, Richard 3 Marcelli, Cristina 3 Marchini, Elsa Maria 2 Cannarsa, Piermarco 2 Ferriero, Alessandro 2 Guidorzi, Marcello 2 Iglesias, José Antonio 2 Mariconda, Carlo 2 Marigo, Jean-Jacques 2 Mercier, Gwenael 2 Preiss, David 1 Amar, Micol 1 Bourdin, Blaise 1 Carlota, Clara 1 Crasta, Graziano 1 Crismale, Vito 1 Csörnyei, Marianna 1 Dosthosseini, Rohollah 1 Francfort, Gilles A. 1 Frigaard, Ian A. 1 Husseinov, Farhad 1 Jaubert, A. 1 Katzourakis, Nikolaos I. 1 Kirchheim, Bernd 1 Lazzaroni, Giuliano 1 Li, QinFeng 1 Malusa, Annalisa 1 Mantegazza, Carlo 1 Müller, Marius 1 O’Neil, Toby C. 1 Orlando, Gianluca 1 Ornelas, António 1 Palladino, Michele 1 Pöschl, Christiane 1 Rampazzo, Franco 1 Rossi, Riccarda 1 Ryberg, Trond 1 Sauter, Manfred 1 Scherzer, Otmar 1 Sheikholeslam, Farid 1 Sidi Ammi, Moulay Rchid 1 Spadoni, Massimo 1 Staicu, Vasile 1 Stefanelli, Ulisse 1 Sychev, Mikhail A. 1 Thomas, Marita 1 Torres, Delfim Fernando Marado 1 Torres, Monica 1 Winter, Steffen 1 Wittig, Klaus 1 Zaslavski, Alexander Yakovlevich
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#### Cited in 28 Serials

 6 Journal of Differential Equations 3 Archive for Rational Mechanics and Analysis 3 Calculus of Variations and Partial Differential Equations 2 Transactions of the American Mathematical Society 2 Advances in Calculus of Variations 1 International Journal of Control 1 International Journal of Systems Science 1 Applied Mathematics and Optimization 1 Indiana University Mathematics Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matematico della Università di Padova 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Continuum Mechanics and Thermodynamics 1 Journal of Convex Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Interfaces and Free Boundaries 1 Journal of Dynamical and Control Systems 1 Annales Mathematicae Silesianae 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 GEM - International Journal on Geomathematics
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#### Cited in 17 Fields

 33 Calculus of variations and optimal control; optimization (49-XX) 6 Partial differential equations (35-XX) 4 Mechanics of deformable solids (74-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)