# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 77 Publications since 1977 Reviewing Activity: 102 Reviews
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#### Co-Authors

 8 single-authored 37 Brandi, Primo 11 Castaing, Charles 5 Cesari, Lamberto 5 Kamont, Zdzisław 5 Marcelli, Cristina 4 Martellotti, Anna 3 Benabdellah, Houcine 3 Raynaud de Fitte, Paul 2 Faina, Loris 1 Boni, Mauro 1 Ceppitelli, Rita 1 Faik, L. Aicha 1 Haddad, Tahar 1 Jofré, Alejandro 1 Le Xuan, Truong 1 Ragni, Gioia Brocani 1 Syam, Aicha 1 Thibault, Lionel
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#### Serials

 16 Atti del Seminario Matematico e Fisico dell’Università di Modena 7 Journal of Mathematical Analysis and Applications 6 Nonlinear Analysis. Theory, Methods & Applications 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Atti della Accademia di Scienze Lettere e Arti di Palermo. Serie Quarta. Parte Prima: Scienze 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 2 Journal of Convex Analysis 2 Journal of Nonlinear and Convex Analysis 2 Séminaire d’Analyse Convexe 1 Archive for Rational Mechanics and Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico 1 Mathematica Balkanica. New Series 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Journal of Applied Analysis 1 International Journal of Applied Mathematics 1 Pacific Journal of Optimization 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Commentationes Mathematicae 1 Lettera Matematica. International Edition 1 Bollettino dell’Unione Matematica Italiana
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#### Fields

 46 Calculus of variations and optimal control; optimization (49-XX) 15 Measure and integration (28-XX) 12 Real functions (26-XX) 10 Ordinary differential equations (34-XX) 8 Partial differential equations (35-XX) 8 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Operator theory (47-XX) 3 General topology (54-XX) 3 Mechanics of deformable solids (74-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

55 Publications have been cited 206 times in 119 Documents Cited by Year
A multiscale framework for localizing microstructures towards the onset of macroscopic discontinuity. Zbl 1398.74308
Bosco, E.; Kouznetsova, V. G.; Coenen, E. W. C.; Geers, M. G. D.; Salvadori, A.
2014
Functional evolution equations governed by nonconvex sweeping process. Zbl 0999.34062
Castaing, Charles; Salvadori, Anna; Thibault, Lionel
2001
Analytical integrations and SIFs computation in 2D fracture mechanics. Zbl 1194.74091
2007
Approximate solutions of mixed problems for first order partial differential-functional equations. Zbl 0737.35134
Brandi, Primo; Kamont, Zdzisław; Salvadori, Anna
1991
Analytical integrations in 3D BEM for elliptic problems: evaluation and implementation. Zbl 1202.65163
2010
Existence theorems concerning simple integrals of the calculus of variations for discontinuous solutions. Zbl 0618.49004
Cesari, Lamberto; Brandi, Primo; Salvadori, Anna
1987
Existence of generalized solutions of hyperbolic functional-differential equations. Zbl 1006.35098
Brandi, Primo; Salvadori, Anna; Kamont, Zdzisław
2002
Nonconvex sweeping process. Zbl 0873.34050
Benabdellah, H.; Castaing, C.; Salvadori, A.; Syam, A.
1996
Sull’area generalizzata. Zbl 0444.49037
1979
A minimax theorem for functions taking values in a Riesz space. Zbl 0651.49005
1988
On convergence in area in the generalized sense. Zbl 0523.49028
1983
Convergenza in lunghezza e variazione in senso generalizzato con peso. Zbl 0395.28002
1978
A computational homogenization approach for Li-ion battery cells. I. – Formulation. Zbl 1323.74063
Salvadori, A.; Bosco, E.; Grazioli, D.
2014
Differential and differential-difference inequalities related to mixed problems for first order partial differential-functional equations. Zbl 0737.35133
Brandi, Primo; Kamont, Zdzisław; Salvadori, Anna
1991
The nonparametric integral of the calculus of variations as a Weierstrass integral: existence and representation. Zbl 0582.49031
1985
Sull’estensione dell’integrale debole alla Burkill-Cesari ad una misura. Zbl 0477.49029
1981
Sulla convergenza in lunghezza in senso generalizzato con peso per una successione di curve parametriche. Zbl 0435.28006
1977
Evolution equations governed by $$m$$-accretive and subdifferential operators with delay. Zbl 1058.34511
Castaing, C.; Faik, L. Aicha; Salvadori, Anna
2000
Compactness and discretization methods for differential inclusions and evolution problems. Zbl 0876.34014
Benabdellah, H.; Castaing, C.; Salvadori, A.
1997
A quasi-additivity type condition and the integral over a BV variety. Zbl 0759.49010
1990
Discontinuous solutions in problems of optimization. Zbl 0673.49020
Cesari, L.; Brandi, P.; Salvadori, A.
1988
Existence theorems for multiple integrals of the calculus of variations for discontinuous solutions. Zbl 0668.49018
Cesari, Lamberto; Brandi, Primo; Salvadori, Anna
1988
The nonparametric integral of the calculus of variations as a Weierstrass integral. II: Some applications. Zbl 0582.49032
1985
Sull’integrale debole alla Burkill-Cesari. Zbl 0429.28008
1978
Crack kinking in brittle materials. Zbl 1225.74073
2010
Control problems governed by functional evolution inclusions with Young measures. Zbl 1077.49002
Castaing, C.; Jofre, A.; Salvadori, Anna
2004
Interaction among the theories of ordinary differential equations in various hereditary settings. Zbl 0920.34062
1999
Uniqueness of solutions to hyperbolic functional differential problems. Zbl 0901.35109
1997
Remarks on growth conditions in calculus of variations. Zbl 0757.49003
1992
Some variational convergence results with applications to evolution inclusions. Zbl 1126.49004
Castaing, Charles; Raynaud de Fitte, Paul; Salvadori, Anna
2006
On measure differential inclusions in optimal control theory. Zbl 1028.49002
1998
On the controllability of control systems in hereditary structures. Zbl 0798.93008
1993
Inequality systems and minimax results without linear structure. Zbl 0731.49018
1990
A result on equiabsolute integrability. Zbl 0722.49022
1990
On the lower semicontinuity of certain integrals of the calculus of variations. Zbl 0706.49011
1989
On the nonparametric integral over a BV surface. Zbl 0694.49029
1989
Existence, semicontinuity and representation for the integrals of the calculus of variations. The BV case. Zbl 0613.49030
1985
On the Cauchy problem for a hereditary structure of hyperbolic type. Existence, unicity and continuous dependence. Zbl 0581.35046
1983
Martingale ed integrale alla Burkill-Cesari. Zbl 0461.49026
1979
Some problems in second order evolution inclusions with boundary condition: a variational approach. Zbl 1400.34104
Castaing, Charles; Le Xuan, Truong; Raynaud de Fitte, Paul; Salvadori, Anna
2017
A variational convergence problem with antiperiodic boundary conditions. Zbl 1214.45005
2010
Some variational convergence results for a class of evolution inclusions of second order using Young measure. Zbl 1145.49005
Castaing, Charles; Raynaud de Fitte, Paul; Salvadori, Anna
2005
On the equivalence of different classes of hereditary systems. Zbl 0892.34058
1997
A characterization of lower semicontinuity. Zbl 0867.49011
1996
Closure theorems in BV setting. Zbl 0886.46028
1996
A mean value property for lower semicontinuity on $$BV$$. Zbl 0870.49009
1995
Existence theorems for optimal control problems in hereditary structures. Zbl 0838.49005
1995
On lower semicontinuity in BV setting. Zbl 0837.49010
1994
Non smooth solutions in plastic deformation. Zbl 0792.49011
1993
A variational approach to problems of plastic deformation. Zbl 0899.35114
1992
Seminormality conditions in the calculus of variations for $$BV$$ solutions. Zbl 0786.49005
Cesari, L.; Brandi, P.; Salvadori, A.
1992
On a class of variational integrals over BV varieties. Zbl 0735.49040
1989
Positive continuous linear functionals on Riesz spaces and applications to minimax theorems. Zbl 0658.49004
1988
On the M-convergence for integral functionals on $$L^ p_ X$$. Zbl 0615.49004
1985
L’integrale parametrico del calcolo delle variazioni con elementi differenziali del secondo ordine nel senso di Weierstrass-Cesari. Zbl 0486.49025
1979
Some problems in second order evolution inclusions with boundary condition: a variational approach. Zbl 1400.34104
Castaing, Charles; Le Xuan, Truong; Raynaud de Fitte, Paul; Salvadori, Anna
2017
A multiscale framework for localizing microstructures towards the onset of macroscopic discontinuity. Zbl 1398.74308
Bosco, E.; Kouznetsova, V. G.; Coenen, E. W. C.; Geers, M. G. D.; Salvadori, A.
2014
A computational homogenization approach for Li-ion battery cells. I. – Formulation. Zbl 1323.74063
Salvadori, A.; Bosco, E.; Grazioli, D.
2014
Analytical integrations in 3D BEM for elliptic problems: evaluation and implementation. Zbl 1202.65163
2010
Crack kinking in brittle materials. Zbl 1225.74073
2010
A variational convergence problem with antiperiodic boundary conditions. Zbl 1214.45005
2010
Analytical integrations and SIFs computation in 2D fracture mechanics. Zbl 1194.74091
2007
Some variational convergence results with applications to evolution inclusions. Zbl 1126.49004
Castaing, Charles; Raynaud de Fitte, Paul; Salvadori, Anna
2006
Some variational convergence results for a class of evolution inclusions of second order using Young measure. Zbl 1145.49005
Castaing, Charles; Raynaud de Fitte, Paul; Salvadori, Anna
2005
Control problems governed by functional evolution inclusions with Young measures. Zbl 1077.49002
Castaing, C.; Jofre, A.; Salvadori, Anna
2004
Existence of generalized solutions of hyperbolic functional-differential equations. Zbl 1006.35098
Brandi, Primo; Salvadori, Anna; Kamont, Zdzisław
2002
Functional evolution equations governed by nonconvex sweeping process. Zbl 0999.34062
Castaing, Charles; Salvadori, Anna; Thibault, Lionel
2001
Evolution equations governed by $$m$$-accretive and subdifferential operators with delay. Zbl 1058.34511
Castaing, C.; Faik, L. Aicha; Salvadori, Anna
2000
Interaction among the theories of ordinary differential equations in various hereditary settings. Zbl 0920.34062
1999
On measure differential inclusions in optimal control theory. Zbl 1028.49002
1998
Compactness and discretization methods for differential inclusions and evolution problems. Zbl 0876.34014
Benabdellah, H.; Castaing, C.; Salvadori, A.
1997
Uniqueness of solutions to hyperbolic functional differential problems. Zbl 0901.35109
1997
On the equivalence of different classes of hereditary systems. Zbl 0892.34058
1997
Nonconvex sweeping process. Zbl 0873.34050
Benabdellah, H.; Castaing, C.; Salvadori, A.; Syam, A.
1996
A characterization of lower semicontinuity. Zbl 0867.49011
1996
Closure theorems in BV setting. Zbl 0886.46028
1996
A mean value property for lower semicontinuity on $$BV$$. Zbl 0870.49009
1995
Existence theorems for optimal control problems in hereditary structures. Zbl 0838.49005
1995
On lower semicontinuity in BV setting. Zbl 0837.49010
1994
On the controllability of control systems in hereditary structures. Zbl 0798.93008
1993
Non smooth solutions in plastic deformation. Zbl 0792.49011
1993
Remarks on growth conditions in calculus of variations. Zbl 0757.49003
1992
A variational approach to problems of plastic deformation. Zbl 0899.35114
1992
Seminormality conditions in the calculus of variations for $$BV$$ solutions. Zbl 0786.49005
Cesari, L.; Brandi, P.; Salvadori, A.
1992
Approximate solutions of mixed problems for first order partial differential-functional equations. Zbl 0737.35134
Brandi, Primo; Kamont, Zdzisław; Salvadori, Anna
1991
Differential and differential-difference inequalities related to mixed problems for first order partial differential-functional equations. Zbl 0737.35133
Brandi, Primo; Kamont, Zdzisław; Salvadori, Anna
1991
A quasi-additivity type condition and the integral over a BV variety. Zbl 0759.49010
1990
Inequality systems and minimax results without linear structure. Zbl 0731.49018
1990
A result on equiabsolute integrability. Zbl 0722.49022
1990
On the lower semicontinuity of certain integrals of the calculus of variations. Zbl 0706.49011
1989
On the nonparametric integral over a BV surface. Zbl 0694.49029
1989
On a class of variational integrals over BV varieties. Zbl 0735.49040
1989
A minimax theorem for functions taking values in a Riesz space. Zbl 0651.49005
1988
Discontinuous solutions in problems of optimization. Zbl 0673.49020
Cesari, L.; Brandi, P.; Salvadori, A.
1988
Existence theorems for multiple integrals of the calculus of variations for discontinuous solutions. Zbl 0668.49018
Cesari, Lamberto; Brandi, Primo; Salvadori, Anna
1988
Positive continuous linear functionals on Riesz spaces and applications to minimax theorems. Zbl 0658.49004
1988
Existence theorems concerning simple integrals of the calculus of variations for discontinuous solutions. Zbl 0618.49004
Cesari, Lamberto; Brandi, Primo; Salvadori, Anna
1987
The nonparametric integral of the calculus of variations as a Weierstrass integral: existence and representation. Zbl 0582.49031
1985
The nonparametric integral of the calculus of variations as a Weierstrass integral. II: Some applications. Zbl 0582.49032
1985
Existence, semicontinuity and representation for the integrals of the calculus of variations. The BV case. Zbl 0613.49030
1985
On the M-convergence for integral functionals on $$L^ p_ X$$. Zbl 0615.49004
1985
On convergence in area in the generalized sense. Zbl 0523.49028
1983
On the Cauchy problem for a hereditary structure of hyperbolic type. Existence, unicity and continuous dependence. Zbl 0581.35046
1983
Sull’estensione dell’integrale debole alla Burkill-Cesari ad una misura. Zbl 0477.49029
1981
Sull’area generalizzata. Zbl 0444.49037
1979
Martingale ed integrale alla Burkill-Cesari. Zbl 0461.49026
1979
L’integrale parametrico del calcolo delle variazioni con elementi differenziali del secondo ordine nel senso di Weierstrass-Cesari. Zbl 0486.49025
1979
Convergenza in lunghezza e variazione in senso generalizzato con peso. Zbl 0395.28002
1978
Sull’integrale debole alla Burkill-Cesari. Zbl 0429.28008
1978
Sulla convergenza in lunghezza in senso generalizzato con peso per una successione di curve parametriche. Zbl 0435.28006
1977
all top 5

#### Cited by 148 Authors

 19 Salvadori, Anna 15 Kamont, Zdzisław 12 Brandi, Primo 8 Salvadori, Alberto 6 Cesari, Lamberto 5 Azzam-Laouir, Dalila 5 Monteiro Marques, Manuel D. P. 4 Castaing, Charles 4 Gray, Leonard J. 4 Marcelli, Cristina 3 Bardaro, Carlo 3 Bosco, E. 3 Edmond, Jean Fenel 3 Saïdi, Soumia 3 Thibault, Lionel 3 Vinti, Gianluca 3 Yarou, Mustapha Fateh 2 Affane, Doria 2 Bacigalupo, Andrea 2 Bainov, Drumi Dimitrov 2 Brogliato, Bernard 2 Colaneri, Patrizio 2 Czernous, Wojciech 2 De Bellis, Maria Laura 2 Faina, Loris 2 Gong, Xunhua 2 Grazioli, D. 2 Izza, Sabrina 2 Kloeden, Peter Eris 2 Lorenz, Thomas 2 Martellotti, Anna 2 Maticiuc, Lucian 2 Middleton, Richard Hume 2 Minchev, Emil 2 Phan, Anh-Vu 2 Pużniakowska-Gałuch, Elżbieta 2 Rascanu, Aurel 2 Sychev, Mikhail A. 1 Acary, Vincent 1 Allix, Olivier 1 Angioni, Stefano 1 Attouch, Hedy 1 Baranowska, Anna 1 Belhoula, Warda 1 Benabdellah, Houcine 1 Benchohra, Mouffak 1 Bigoni, Davide 1 Biswas, Rudradip 1 Blanchini, Franco 1 Boudada, Sarra 1 Buckdahn, Rainer 1 Caporale, Danilo 1 Capuani, Domenico 1 Carini, Angelo 1 Carley, Michael 1 Chemetov, Nikolai V. 1 Chen, Zhiyong 1 Ciobanu, Oana 1 Colombo, Giovanni 1 Dal, Hüsnü 1 Fagerström, Martin 1 Florescu, Liviu C. 1 Gamkrelidze, Revaz Valerianovich 1 Geers, Marc G. D. 1 Giarola, Diana 1 Gnecco, Giorgio 1 Goeleven, Daniel 1 Goudou, Xavier 1 Guidault, Pierre-Alain 1 Haddad, Tahar 1 Henderson, Johnny Lee 1 Hernandez-Vargas, Esteban A. 1 Kalidindi, Surya R. 1 Kapusuzoglu, Berkcan 1 Kecis, Ilyas 1 Koehler, Matthew 1 Kouznetsova, Varvara G. 1 Kozieł, Sławomir 1 Kropielnicka, Karolina 1 Larsson, Fredrik 1 Latypov, Marat I. 1 Le Xuan Truong 1 Lesičar, Tomislav 1 Liu, Jinpeng 1 Magri, M. 1 Mantič, Vladislav 1 McMeeking, Robert M. 1 Mear, Mark E. 1 Meleshko, Sergey V. 1 Merta, Michal 1 Miehe, Christian 1 Mogilevskaya, Sofia G. 1 Mostefai, Fatima-Zohra 1 Moussaoui, Mohammed Amine 1 Neumann, Michael M. 1 Nguyen, Lam H. 1 Nieto Roig, Juan Jose 1 Nintcheu Fata, Sylvain 1 Nour, Chadi 1 Of, Günther ...and 48 more Authors
all top 5

#### Cited in 58 Serials

 9 Computer Methods in Applied Mechanics and Engineering 8 Journal of Mathematical Analysis and Applications 8 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of the Mechanics and Physics of Solids 5 Journal of Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Engineering Analysis with Boundary Elements 4 International Journal for Numerical Methods in Engineering 4 Set-Valued and Variational Analysis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Computational Mechanics 3 Set-Valued Analysis 2 Archive for Rational Mechanics and Analysis 2 Journal of Engineering Mathematics 2 Rocky Mountain Journal of Mathematics 2 Automatica 2 Acta Mathematica Hungarica 2 Journal of Global Optimization 2 Mathematical Programming. Series A. Series B 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Acta Mechanica 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 International Journal of Solids and Structures 1 Journal of Computational Physics 1 Ukrainian Mathematical Journal 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Computing 1 Czechoslovak Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten 1 Mechanics Research Communications 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Numerical Mathematics 1 Journal of Applied Mathematics and Stochastic Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 ZOR. Zeitschrift für Operations Research 1 Journal of Mathematical Sciences (New York) 1 Georgian Mathematical Journal 1 Advances in Computational Mathematics 1 Opuscula Mathematica 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Afrika Matematika 1 Electronic Journal of Mathematical Analysis and Applications EJMAA
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#### Cited in 27 Fields

 43 Calculus of variations and optimal control; optimization (49-XX) 27 Mechanics of deformable solids (74-XX) 24 Ordinary differential equations (34-XX) 24 Partial differential equations (35-XX) 22 Numerical analysis (65-XX) 9 Measure and integration (28-XX) 9 Operator theory (47-XX) 5 Systems theory; control (93-XX) 4 Probability theory and stochastic processes (60-XX) 4 Operations research, mathematical programming (90-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)