×
Compute Distance To:
Author ID: modica.giuseppe Recent zbMATH articles by "Modica, Giuseppe"
Published as: Modica, Giuseppe; Modica, G.
Documents Indexed: 51 Publications since 1975, including 8 Books
Co-Authors: 7 Co-Authors with 50 Joint Publications
78 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 1,075 times in 851 Documents Cited by Year
Cartesian currents in the calculus of variations I. Cartesian currents. Zbl 0914.49001
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
206
1998
Regularity results for some classes of higher order non linear elliptic systems. Zbl 0409.35015
Giaquinta, M.; Modica, G.
138
1979
Remarks on the regularity of the minimizers of certain degenerate functionals. Zbl 0607.49003
Giaquinta, Mariano; Modica, Giuseppe
113
1986
Non linear systems of the type of the stationary Navier-Stokes system. Zbl 0492.35018
Giaquinta, M.; Modica, G.
88
1982
Partial regularity of minimizers of quasiconvex integrals. Zbl 0594.49004
Giaquinta, Mariano; Modica, Giuseppe
68
1986
Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity. Zbl 0677.73014
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
48
1989
Functionals with linear growth in the calculus of variations. I. Zbl 0409.49006
Giaquinta, M.; Modica, G.; Souček, Jiří
47
1979
Almost-everywhere regularity results for solutions of nonlinear elliptic systems. Zbl 0411.35018
Giaquinta, Mariano; Modica, Giuseppe
47
1979
Cartesian currents and variational problems for mappings into spheres. Zbl 0713.49014
Giaquinta, M.; Modica, G.; Souček, J.
37
1989
Cartesian currents in the calculus of variations II. Variational integrals. Zbl 0914.49002
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
36
1998
The Dirichlet energy of mappings with values into the sphere. Zbl 0678.49006
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
27
1989
Ground states in complex bodies. Zbl 1161.74006
Mariano, Paolo Maria; Modica, Giuseppe
20
2009
Local existence for quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0655.35049
Giaquinta, Mariano; Modica, Giuseppe
19
1987
Variational problems for maps of bounded variation with values in \(S^ 1\). Zbl 0810.49040
Giaquinta, M.; Modica, G.; Souček, J.
19
1993
Functionals with linear growth in the calculus of variations. II. Zbl 0409.49007
Giaquinta, M.; Modica, G.; Souček, Jiří
17
1979
Regolarita Lipschitziana per la soluzione di alcuni problemi di minimo con vincolo. Zbl 0325.49009
Giaquinta, M.; Modica, G.
15
1975
Graphs of finite mass which cannot be approximated in area by smooth graphs. Zbl 0796.58006
Giaquinta, M.; Modica, G.; Souček, J.
13
1993
Area and the area formula. Zbl 0828.49022
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
11
1992
Liquid crystals: Relaxed energies, dipoles, singular lines and singular points. Zbl 0760.49026
Giaquinta, M.; Modica, G.; Souček, J.
10
1990
Energy minimizing maps from a domain of \(\mathbb{R}^3\) into \(S^2\). Zbl 0910.49026
Giaquinta, M.; Modica, G.; Souček, J.
10
1998
The Dirichlet integral for mappings between manifolds: Cartesian currents and homology. Zbl 0762.49018
Giaquinta, M.; Modica, G.; Souček, J.
9
1992
Mathematical analysis. Foundations and advanced techniques for functions of several variables. Zbl 1236.26001
Giaquinta, Mariano; Modica, Giuseppe
8
2012
Mathematical analysis. An introduction to functions of several variables. Zbl 1177.26001
Giaquinta, Mariano; Modica, Giuseppe
8
2009
Remarks on the degree theory. Zbl 0822.55003
Giaquinta, M.; Modica, G.; Souček, J.
6
1994
On sequence of maps with equibounded energies. Zbl 1013.49030
Giaquinta, Mariano; Modica, Giuseppe
6
2001
Quasiminima of some degenerate functionals. Zbl 0596.49008
Modica, Giuseppe
5
1985
The gap phenomenon for variational integrals in Sobolev spaces. Zbl 0749.58019
Giaquinta, M.; Modica, G.; Souček, J.
5
1992
Erratum and addendum to “Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity”. Zbl 0712.73009
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
5
1990
Functionals with linear growth in the calculus of variations. I,. Zbl 0421.49010
Giaquinta, M.; Modica, G.; Soucek, J.
5
1979
A weak approach to finite elasticity. Zbl 0806.49007
Giaquinta, M.; Modica, G.; Souček, J.
5
1994
Mathematical analysis. Linear and metric structures and continuity. Zbl 1125.26001
Giaquinta, Mariano; Modica, Giuseppe
4
2007
Ground states of simple bodies that may undergo brittle fractures. Zbl 1372.74009
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico
4
2010
On sequences of maps into \(S^1\) with equibounded \(W^{1/2}\) energies. Zbl 1067.49029
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
4
2004
The relaxed Dirichlet energy of manifold constrained mappings. Zbl 1157.49043
Giaquinta, Mariano; Modica, Giuseppe; Mucci, Domenico
4
2008
A variational problem in the mechanics of complex materials. Zbl 1209.49012
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe
3
2010
Currents and curvature varifolds in continuum mechanics. Zbl 1235.49080
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico
2
2010
A first course in probability and Markov chains. Zbl 1271.60003
Modica, Giuseppe; Poggiolini, Laura
1
2013
Mathematical analysis. Approximation and discrete processes. Translated and revised from the 1999 Italian original. Zbl 1068.26001
Giaquinta, Mariano; Modica, Giuseppe
1
2005
Remarks on the lower semicontinuity of quasiconvex integrals. Zbl 0844.49011
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
1
1995
A first course in probability and Markov chains. Zbl 1271.60003
Modica, Giuseppe; Poggiolini, Laura
1
2013
Mathematical analysis. Foundations and advanced techniques for functions of several variables. Zbl 1236.26001
Giaquinta, Mariano; Modica, Giuseppe
8
2012
Ground states of simple bodies that may undergo brittle fractures. Zbl 1372.74009
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico
4
2010
A variational problem in the mechanics of complex materials. Zbl 1209.49012
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe
3
2010
Currents and curvature varifolds in continuum mechanics. Zbl 1235.49080
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico
2
2010
Ground states in complex bodies. Zbl 1161.74006
Mariano, Paolo Maria; Modica, Giuseppe
20
2009
Mathematical analysis. An introduction to functions of several variables. Zbl 1177.26001
Giaquinta, Mariano; Modica, Giuseppe
8
2009
The relaxed Dirichlet energy of manifold constrained mappings. Zbl 1157.49043
Giaquinta, Mariano; Modica, Giuseppe; Mucci, Domenico
4
2008
Mathematical analysis. Linear and metric structures and continuity. Zbl 1125.26001
Giaquinta, Mariano; Modica, Giuseppe
4
2007
Mathematical analysis. Approximation and discrete processes. Translated and revised from the 1999 Italian original. Zbl 1068.26001
Giaquinta, Mariano; Modica, Giuseppe
1
2005
On sequences of maps into \(S^1\) with equibounded \(W^{1/2}\) energies. Zbl 1067.49029
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
4
2004
On sequence of maps with equibounded energies. Zbl 1013.49030
Giaquinta, Mariano; Modica, Giuseppe
6
2001
Cartesian currents in the calculus of variations I. Cartesian currents. Zbl 0914.49001
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
206
1998
Cartesian currents in the calculus of variations II. Variational integrals. Zbl 0914.49002
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
36
1998
Energy minimizing maps from a domain of \(\mathbb{R}^3\) into \(S^2\). Zbl 0910.49026
Giaquinta, M.; Modica, G.; Souček, J.
10
1998
Remarks on the lower semicontinuity of quasiconvex integrals. Zbl 0844.49011
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
1
1995
Remarks on the degree theory. Zbl 0822.55003
Giaquinta, M.; Modica, G.; Souček, J.
6
1994
A weak approach to finite elasticity. Zbl 0806.49007
Giaquinta, M.; Modica, G.; Souček, J.
5
1994
Variational problems for maps of bounded variation with values in \(S^ 1\). Zbl 0810.49040
Giaquinta, M.; Modica, G.; Souček, J.
19
1993
Graphs of finite mass which cannot be approximated in area by smooth graphs. Zbl 0796.58006
Giaquinta, M.; Modica, G.; Souček, J.
13
1993
Area and the area formula. Zbl 0828.49022
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
11
1992
The Dirichlet integral for mappings between manifolds: Cartesian currents and homology. Zbl 0762.49018
Giaquinta, M.; Modica, G.; Souček, J.
9
1992
The gap phenomenon for variational integrals in Sobolev spaces. Zbl 0749.58019
Giaquinta, M.; Modica, G.; Souček, J.
5
1992
Liquid crystals: Relaxed energies, dipoles, singular lines and singular points. Zbl 0760.49026
Giaquinta, M.; Modica, G.; Souček, J.
10
1990
Erratum and addendum to “Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity”. Zbl 0712.73009
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
5
1990
Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity. Zbl 0677.73014
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
48
1989
Cartesian currents and variational problems for mappings into spheres. Zbl 0713.49014
Giaquinta, M.; Modica, G.; Souček, J.
37
1989
The Dirichlet energy of mappings with values into the sphere. Zbl 0678.49006
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
27
1989
Local existence for quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0655.35049
Giaquinta, Mariano; Modica, Giuseppe
19
1987
Remarks on the regularity of the minimizers of certain degenerate functionals. Zbl 0607.49003
Giaquinta, Mariano; Modica, Giuseppe
113
1986
Partial regularity of minimizers of quasiconvex integrals. Zbl 0594.49004
Giaquinta, Mariano; Modica, Giuseppe
68
1986
Quasiminima of some degenerate functionals. Zbl 0596.49008
Modica, Giuseppe
5
1985
Non linear systems of the type of the stationary Navier-Stokes system. Zbl 0492.35018
Giaquinta, M.; Modica, G.
88
1982
Regularity results for some classes of higher order non linear elliptic systems. Zbl 0409.35015
Giaquinta, M.; Modica, G.
138
1979
Functionals with linear growth in the calculus of variations. I. Zbl 0409.49006
Giaquinta, M.; Modica, G.; Souček, Jiří
47
1979
Almost-everywhere regularity results for solutions of nonlinear elliptic systems. Zbl 0411.35018
Giaquinta, Mariano; Modica, Giuseppe
47
1979
Functionals with linear growth in the calculus of variations. II. Zbl 0409.49007
Giaquinta, M.; Modica, G.; Souček, Jiří
17
1979
Functionals with linear growth in the calculus of variations. I,. Zbl 0421.49010
Giaquinta, M.; Modica, G.; Soucek, J.
5
1979
Regolarita Lipschitziana per la soluzione di alcuni problemi di minimo con vincolo. Zbl 0325.49009
Giaquinta, M.; Modica, G.
15
1975
all top 5

Cited by 752 Authors

32 Giaquinta, Mariano
30 Fuchs, Martin
23 Mucci, Domenico
20 Modica, Giuseppe
18 Passarelli di Napoli, Antonia
17 Bildhauer, Michael
14 Arkhipova, Arina A. Arkhipova
14 Mariano, Paolo Maria
13 Mingione, Giuseppe
13 Smarrazzo, Flavia
13 Soucek, Jiri
12 Fusco, Nicola
11 Bögelein, Verena
11 Duzaar, Frank
11 Tachikawa, Atsushi
11 Tesei, Alberto
10 Hong, Minchun
9 Beck, Lisa
9 Chen, Shuhong
9 Fonseca, Irene
9 Giannetti, Flavia
9 Goodrich, Christopher S.
9 Tan, Zhong
8 Verde, Anna
7 Anzellotti, Gabriele
7 Byun, Sun-Sig
7 Isobe, Takeshi
7 Malý, Jan
7 Marcellini, Paolo
7 Mora-Corral, Carlos
7 Ragusa, Maria Alessandra
7 Scheven, Christoph
6 Ambrosio, Luigi
6 Bouchitté, Guy
6 Breit, Dominic
6 Brézis, Haïm
6 Dal Maso, Gianni
6 De Lellis, Camillo
6 De Philippis, Guido
6 Diening, Lars
6 Flandoli, Franco
6 Gu, Shu
6 Henao, Duvan A.
6 Ignat, Radu
6 Kristensen, Jan
6 Leonetti, Francesco
6 Mascolo, Elvira
6 Millot, Vincent
6 Orlandi, Giandomenico
6 Sbordone, Carlo
6 Segev, Reuven
6 Spadaro, Emanuele Nunzio
6 Stroffolini, Bianca
6 Wang, Jialin
5 Acerbi, Emilio
5 Bellettini, Giovanni
5 Bertsch, Michiel
5 Choe, Hi Jun
5 Cupini, Giovanni
5 Dong, Hongjie
5 Focardi, Matteo
5 Foss, Mikil D.
5 Frehse, Jens
5 Giova, Raffaella
5 Gmeineder, Franz
5 Hamburger, Christoph
5 Hardt, Robert M.
5 Jerrard, Robert Leon
5 Kružík, Martin
5 Neff, Patrizio
5 Porzio, Maria Michaela
5 Rivière, Tristan
5 Růžička, Michael
5 Schmidt, Thomas
5 Schwarzacher, Sebastian
5 Tu, Qiang
5 Weinmann, Andreas
5 Zhang, Kewei
4 Bellettini, Costante
4 Bousquet, Pierre
4 Bulíček, Miroslav
4 Campanato, Sergio
4 Canevari, Giacomo
4 Carozza, Menita
4 Choi, Jongkeun
4 Cianchi, Andrea
4 De Arcangelis, Riccardo
4 De Filippis, Cristiana
4 Erhardt, André
4 Falach, Lior
4 Giga, Yoshikazu
4 Giusti, Enrico
4 Iwaniec, Tadeusz
4 Jin, Bumja
4 Kang, Kyungkeun
4 Kim, Doyoon
4 Kinnunen, Juha
4 Leoni, Giovanni
4 Mironescu, Petru
4 Paolini, Maurizio
...and 652 more Authors
all top 5

Cited in 187 Serials

63 Calculus of Variations and Partial Differential Equations
51 Archive for Rational Mechanics and Analysis
43 Journal of Differential Equations
42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
36 Annali di Matematica Pura ed Applicata. Serie Quarta
35 Manuscripta Mathematica
33 Journal of Mathematical Analysis and Applications
32 Journal of Mathematical Sciences (New York)
29 Journal of Functional Analysis
26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
17 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
15 Mathematische Zeitschrift
10 Journal of Mathematical Fluid Mechanics
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
9 Advances in Mathematics
9 SIAM Journal on Mathematical Analysis
8 Mathematische Annalen
8 Zeitschrift für Analysis und ihre Anwendungen
8 Forum Mathematicum
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Advances in Calculus of Variations
7 Rendiconti del Seminario Matematico della Università di Padova
7 Transactions of the American Mathematical Society
7 The Journal of Geometric Analysis
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 NoDEA. Nonlinear Differential Equations and Applications
6 Communications in Partial Differential Equations
6 Mathematics and Mechanics of Solids
6 Nonlinear Analysis. Theory, Methods & Applications
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Continuum Mechanics and Thermodynamics
5 Journal of the European Mathematical Society (JEMS)
5 Acta Mathematica Sinica. English Series
5 Advances in Nonlinear Analysis
4 Communications in Mathematical Physics
4 Acta Mathematica
4 Duke Mathematical Journal
4 Proceedings of the American Mathematical Society
4 Rendiconti del Seminario Matemàtico e Fisico di Milano
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 Journal of Elasticity
4 Journal of Mathematical Imaging and Vision
4 Journal of Nonlinear Science
3 Applicable Analysis
3 Journal d’Analyse Mathématique
3 Journal of Computational Physics
3 Mathematical Methods in the Applied Sciences
3 Ukrainian Mathematical Journal
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Applied Mathematics and Optimization
3 Inventiones Mathematicae
3 Numerische Mathematik
3 Ricerche di Matematica
3 Annals of Global Analysis and Geometry
3 Applications of Mathematics
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Discrete and Continuous Dynamical Systems
3 Annales Academiae Scientiarum Fennicae. Mathematica
3 Communications in Contemporary Mathematics
3 Journal of Evolution Equations
3 SIAM Journal on Imaging Sciences
3 Analysis and Geometry in Metric Spaces
3 Journal of Elliptic and Parabolic Equations
2 Communications on Pure and Applied Mathematics
2 Journal of Statistical Physics
2 Mathematics of Computation
2 The Annals of Probability
2 Journal of Optimization Theory and Applications
2 Journal of Soviet Mathematics
2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
2 Physica D
2 Statistics
2 Revista Matemática Iberoamericana
2 Differential Geometry and its Applications
2 Journal of Global Optimization
2 SIAM Journal on Applied Mathematics
2 Stochastic Processes and their Applications
2 Potential Analysis
2 St. Petersburg Mathematical Journal
2 Journal of Convex Analysis
2 Doklady Mathematics
2 Journal of Inequalities and Applications
2 Interfaces and Free Boundaries
2 Nonlinear Analysis. Real World Applications
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Multiscale Modeling & Simulation
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Journal of Fixed Point Theory and Applications
2 Discrete and Continuous Dynamical Systems. Series S
2 Science China. Mathematics
1 American Mathematical Monthly
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 International Journal of Theoretical Physics
1 Inverse Problems
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Engineering Mathematics
1 Journal of Mathematical Physics
1 Mathematical Notes
...and 87 more Serials
all top 5

Cited in 42 Fields

471 Partial differential equations (35-XX)
362 Calculus of variations and optimal control; optimization (49-XX)
111 Mechanics of deformable solids (74-XX)
88 Fluid mechanics (76-XX)
82 Global analysis, analysis on manifolds (58-XX)
79 Functional analysis (46-XX)
67 Real functions (26-XX)
50 Differential geometry (53-XX)
31 Measure and integration (28-XX)
27 Numerical analysis (65-XX)
20 Operator theory (47-XX)
18 Information and communication theory, circuits (94-XX)
14 Probability theory and stochastic processes (60-XX)
13 Functions of a complex variable (30-XX)
13 Statistical mechanics, structure of matter (82-XX)
13 Operations research, mathematical programming (90-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Convex and discrete geometry (52-XX)
12 Computer science (68-XX)
10 Potential theory (31-XX)
10 Dynamical systems and ergodic theory (37-XX)
7 Ordinary differential equations (34-XX)
7 Biology and other natural sciences (92-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Topological groups, Lie groups (22-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Algebraic topology (55-XX)
5 Manifolds and cell complexes (57-XX)
4 Approximations and expansions (41-XX)
4 Geometry (51-XX)
4 Statistics (62-XX)
3 Mechanics of particles and systems (70-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Quantum theory (81-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 Group theory and generalizations (20-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year