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Giaquinta, Mariano

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Author ID: giaquinta.mariano Recent zbMATH articles by "Giaquinta, Mariano"
Published as: Giaquinta, Mariano; Giaquinta, M.
External Links: Wikidata · GND · IdRef
Documents Indexed: 122 Publications since 1971, including 16 Books
3 Contributions as Editor
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Serials

10 Manuscripta Mathematica
6 Calculus of Variations and Partial Differential Equations
5 Journal für die Reine und Angewandte Mathematik
4 Archive for Rational Mechanics and Analysis
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Commentationes Mathematicae Universitatis Carolinae
4 Mathematische Zeitschrift
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Functional Analysis
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Bollettino della Unione Matematica Italiana. Series IV
2 Mathematische Annalen
2 NoDEA. Nonlinear Differential Equations and Applications
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
2 Grundlehren der Mathematischen Wissenschaften
2 Appunti. Scuola Normale Superiore di Pisa (Nuova Serie)
2 Lettera Matematica. International Edition
1 Bulletin of the Australian Mathematical Society
1 Communications on Pure and Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Arkiv för Matematik
1 Acta Mathematica
1 Inventiones Mathematicae
1 Le Matematiche
1 Pacific Journal of Mathematics
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Rendiconti del Seminario Matematico della Università di Padova
1 Physica D
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Pokroky Matematiky, Fyziky & Astronomie
1 Stochastic Processes and their Applications
1 Bollettino della Unione Matemàtica Italiana. Serie VI. A
1 Bollettino della Unione Matemàtica Italiana. Serie VII. A
1 Journal of Convex Analysis
1 Selecta Mathematica. New Series
1 Discrete and Continuous Dynamical Systems
1 Journal of the European Mathematical Society (JEMS)
1 Bollettino della Unione Matematica Italiana. Series V. A
1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
1 Pure and Applied Mathematics Quarterly
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Annals of Mathematics Studies
1 Lecture Notes in Mathematics
1 Oxford Lecture Series in Mathematics and its Applications
1 Proceedings of Symposia in Pure Mathematics
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Advances in Calculus of Variations
1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie)

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 3,650 times in 2,503 Documents Cited by Year
Multiple integrals in the calculus of variations and nonlinear elliptic systems. Zbl 0516.49003
Giaquinta, Mariano
903
1983
On the regularity of the minima of variational integrals. Zbl 0494.49031
Giaquinta, Mariano; Giusti, Enrico
233
1982
Cartesian currents in the calculus of variations I. Cartesian currents. Zbl 0914.49001
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
196
1998
Introduction to regularity theory for nonlinear elliptic systems. Zbl 0786.35001
Giaquinta, Mariano
146
1993
Regularity results for some classes of higher order non linear elliptic systems. Zbl 0409.35015
Giaquinta, M.; Modica, G.
133
1979
An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs. 2nd ed. Zbl 1262.35001
Giaquinta, Mariano; Martinazzi, Luca
129
2012
Growth conditions and regularity. A counterexample. Zbl 0638.49005
Giaquinta, Mariano
117
1987
Remarks on the regularity of the minimizers of certain degenerate functionals. Zbl 0607.49003
Giaquinta, Mariano; Modica, Giuseppe
108
1986
One-dimensional variational problems. An introduction. Zbl 0915.49001
Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan
100
1998
Non linear systems of the type of the stationary Navier-Stokes system. Zbl 0492.35018
Giaquinta, M.; Modica, G.
85
1982
On the partial regularity of weak solutions on nonlinear parabolic systems. Zbl 0469.35028
Giaquinta, Mariano; Struwe, Michael
84
1982
Calculus of variations 1. The Lagrangian formalism. Zbl 0853.49001
Giaquinta, Mariano; Hildebrandt, Stefan
72
1996
Partial regularity of minimizers of quasiconvex integrals. Zbl 0594.49004
Giaquinta, Mariano; Modica, Giuseppe
65
1986
Quasi-minima. Zbl 0541.49008
Giaquinta, Mariano; Giusti, Enrico
58
1984
Existence of the displacements field for an elasto-plastic body subject to Hecky’s law and von Mises yield condition. Zbl 0465.73022
Anzellotti, Gabriele; Giaquinta, Mariano
55
1980
Differentiability of minima of non-differentiable functionals. Zbl 0513.49003
Giaquinta, Mariano; Giusti, Enrico
54
1983
Nonlinear elliptic systems with quadratic growth. Zbl 0378.35027
Giaquinta, Mariano; Giusti, Enrico
48
1978
Functionals with linear growth in the calculus of variations. I. Zbl 0409.49006
Giaquinta, M.; Modica, G.; Souček, Jiří
47
1979
Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity. Zbl 0677.73014
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
47
1989
Almost-everywhere regularity results for solutions of nonlinear elliptic systems. Zbl 0411.35018
Giaquinta, Mariano; Modica, Giuseppe
46
1979
The singular set of the minima of certain quadratic functionals. Zbl 0543.49018
Giaquinta, Mariano; Giusti, Enrico
45
1984
Funzioni BV e tracce. Zbl 0432.46031
Anzellotti, G.; Giaquinta, M.
39
1978
Cartesian currents and variational problems for mappings into spheres. Zbl 0713.49014
Giaquinta, M.; Modica, G.; Souček, J.
37
1989
An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs. Zbl 1093.35001
Giaquinta, Mariano; Martinazzi, Luca
36
2005
On the Dirichlet problem for surfaces of prescribed mean curvature. Zbl 0276.35038
Giaquinta, Mariano
35
1974
Cartesian currents in the calculus of variations II. Variational integrals. Zbl 0914.49002
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
35
1998
Convex functionals and partial regularity. Zbl 0658.49005
Anzellotti, G.; Giaquinta, M.
34
1988
Researches on the equilibrium of masonry structures. Zbl 0656.73012
Giaquinta, Mariano; Giusti, Enrico
31
1985
Partial regularity for the solutions to nonlinear parabolic systems. Zbl 0276.35062
Giaquinta, M.; Giusti, E.
30
1973
On the existence of the fields of stresses and displacements for an elasto-perfectly plastic body in static equilibrium. Zbl 0467.73044
Anzellotti, G.; Giaquinta, M.
28
1982
The Dirichlet energy of mappings with values into the sphere. Zbl 0678.49006
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
27
1989
Calculus of variations 2. The Hamiltonian formalism. Zbl 0853.49002
Giaquinta, Mariano; Hildebrandt, Stefan
27
1996
A priori estimates for harmonic mappings. Zbl 0508.58015
Giaquinta, Mariano; Hildebrandt, Stefan
27
1982
A counter-example to the boundary regularity of solutions to elliptic quasilinear systems. Zbl 0373.35027
Giaquinta, Mariano
26
1978
Global \(C^{1/\alpha}\)-regularity for second order quasilinear elliptic equations in divergence form. Zbl 0528.35014
Giaquinta, M.; Giusti, E.
25
1984
An optimal regularity result for a class of quasilinear parabolic systems. Zbl 0475.35026
Giaquinta, Mariano; Struwe, Michael
23
1981
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
Esistenza e regolarita per il problema dell’area minima con ostacoli in n variabili. Zbl 0283.49032
Giaquinta, M.; Pepe, L.
17
1971
The BV-energy of maps into a manifold: relaxation and density results. Zbl 1150.49020
Giaquinta, Mariano; Mucci, Domenico
16
2006
Multiple integrals in the calculus of variations and non linear elliptic systems. Zbl 0498.49001
Giaquinta, Mariano
14
1981
Regolarita Lipschitziana per la soluzione di alcuni problemi di minimo con vincolo. Zbl 0325.49009
Giaquinta, M.; Modica, G.
13
1975
Maps of bounded variation with values into a manifold: total variation and relaxed energy. Zbl 1347.49076
Giaquinta, Mariano; Mucci, Domenico
13
2007
Cartesian currents in the calculus of variations. Zbl 1006.49030
Giaquinta, M.
12
1997
Graphs of finite mass which cannot be approximated in area by smooth graphs. Zbl 0796.58006
Giaquinta, M.; Modica, G.; Souček, J.
12
1993
Sharp estimates for the derivatives of local minima of variational integrals. Zbl 0543.49019
Giaquinta, Mariano; Giusti, Enrico
12
1984
Caccioppoli’s inequality and Legendre-Hadamard condition. Zbl 0561.35027
Giaquinta, Mariano; Souček, Jiři
12
1985
Remarks on the regularity of weak solutions to some variational inequalities. Zbl 0438.35019
Giaquinta, Mariano
11
1981
Area and the area formula. Zbl 0828.49022
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
11
1992
Regolarita delle superfici \(BV (\Omega )\) con curvatura media assegnata. Zbl 0274.35028
Giaquinta, M.
11
1973
Stochastic currents. Zbl 1087.60043
Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M.
10
2005
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
Harmonic maps into a hemisphere. Zbl 0599.58017
Giaquinta, M.; Souček, J.
8
1985
Mathematical analysis. An introduction to functions of several variables. Zbl 1177.26001
Giaquinta, Mariano; Modica, Giuseppe
8
2009
Mathematical analysis. Foundations and advanced techniques for functions of several variables. Zbl 1236.26001
Giaquinta, Mariano; Modica, Giuseppe
8
2012
On sequences of maps into a manifold with equibounded \(W^{1/2}\)-energies. Zbl 1084.46024
Giaquinta, M.; Mucci, D.
7
2005
Quasiconvexity, growth conditions and partial regularity. Zbl 0658.49006
Giaquinta, Mariano
6
1988
Remarks on the degree theory. Zbl 0822.55003
Giaquinta, M.; Modica, G.; Souček, J.
6
1994
Density results for the \(W^{1/2}\) energy of maps into a manifold. Zbl 1229.58010
Giaquinta, Mariano; Mucci, Domenico
6
2005
On sequence of maps with equibounded energies. Zbl 1013.49030
Giaquinta, Mariano; Modica, Giuseppe
6
2001
The Dirichlet energy of mappings from \(B^3\) into a manifold: density results and gap phenomenon. Zbl 1055.49030
Giaquinta, Mariano; Mucci, Domenico
5
2004
Functionals with linear growth in the calculus of variations. I,. Zbl 0421.49010
Giaquinta, M.; Modica, G.; Soucek, J.
5
1979
On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations. Zbl 0435.35036
Giaquinta, M.; Necas, J.
5
1980
Hilbert and the calculus of variations. (Hilbert e il calcolo delle variazioni.) Zbl 1195.49003
Giaquinta, Mariano
5
2000
The gap phenomenon for variational integrals in Sobolev spaces. Zbl 0749.58019
Giaquinta, M.; Modica, G.; Souček, J.
5
1992
On the regularity of weak solutions to nonlinear elliptic systems via Liouville’s type property. Zbl 0396.35047
Giaquinta, M.; Necas, J.
4
1979
A weak approach to finite elasticity. Zbl 0806.49007
Giaquinta, M.; Modica, G.; Souček, J.
4
1994
Maps into manifolds and currents: area and \(W^{1,2}\)-, \(W^{1/2}\)-, \(BV\)-energies. Zbl 1111.49001
Giaquinta, Mariano; Mucci, Domenico
4
2006
Mathematical analysis. Linear and metric structures and continuity. Zbl 1125.26001
Giaquinta, Mariano; Modica, Giuseppe
4
2007
The relaxed Dirichlet energy of manifold constrained mappings. Zbl 1157.49043
Giaquinta, Mariano; Modica, Giuseppe; Mucci, Domenico
4
2008
Erratum and addendum to “Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity”. Zbl 0712.73009
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
4
1990
On sequences of maps into \(S^1\) with equibounded \(W^{1/2}\) energies. Zbl 1067.49029
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
4
2004
Sistemi ellittici non lineari. Teoria della regolarita. Zbl 0443.35026
Giaquinta, M.
3
1979
Partial regularity of minimizers of a functional involving forms and maps. Zbl 1120.35037
Giaquinta, Mariano; Hong, Min-Chun
3
2004
The relaxed Dirichlet energy of mappings into a manifold. Zbl 1080.49029
Giaquinta, Mariano; Mucci, Domenico
3
2005
Relaxation results for a class of functionals with linear growth defined on manifold constrained mappings. Zbl 1204.49010
Giaquinta, Mariano; Mucci, Domenico
3
2008
A new approximation of relaxed energies for harmonic maps and the Faddeev model. Zbl 1221.58012
Giaquinta, Mariano; Hong, Min-Chun; Yin, Hao
3
2011
Ground states of simple bodies that may undergo brittle fractures. Zbl 1372.74009
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico
3
2010
Sul problema di Dirichlet per le superfici a curvatura media assegnata. Zbl 0305.35031
Giaquinta, Mariano
3
1974
Esistenza per il problema dell’area e controesempio di Bernstein. Zbl 0313.49029
Giaquinta, M.; Souček, Jiří
3
1974
On the self-length of two-dimensional Banach spaces. Zbl 0854.46012
Chalmers, B.; Franchetti, C.; Giaquinta, M.
3
1996
Weak and strong density results for the Dirichlet energy. Zbl 1043.49040
Giaquinta, Mariano; Mucci, Domenico
3
2004
On the regularity up to the boundary for second order nonlinear elliptic systems. Zbl 0485.35020
Giaquinta, M.; Nečas, Jindřich; John, Oldřich; Stará, Jana
3
1982
Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques. Zbl 0486.35030
Giaquinta, M.; Hildebrandt, S.
3
1981
Direct methods for regularity in the calculus of variations. Zbl 0553.49011
Giaquinta, M.
3
1984
Partial regularity for minima of variational integrals. Zbl 0637.49005
Giaquinta, Mariano; Ivert, Per-Anders
2
1987
The problem of the regularity of minimizers. Zbl 0667.49029
Giaquinta, Mariano
2
1987
Density results relative to the Dirichlet energy of mappings into a manifold. Zbl 1115.49012
Giaquinta, Mariano; Mucci, Domenico
2
2006
A variational problem in the mechanics of complex materials. Zbl 1209.49012
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe
2
2010
Equazioni ellittiche di ordine \(2m\) di tipo Cordes. Zbl 0212.44801
Giaquinta, M.
2
1971
The early period of the calculus of variations. Zbl 1350.01001
Freguglia, Paolo; Giaquinta, Mariano
2
2016
On differentiability of the extremals of variational integrals. Zbl 0494.49032
Giaquinta, Mariano
2
1982
The regularity problem of extremals of variational integrals. Zbl 0528.49005
Giaquinta, Mariano
2
1983
Some remarks on the regularity of minimizers. Zbl 0657.49007
Giaquinta, Mariano
1
1988
Mathematical analysis. Approximation and discrete processes. Translated and revised from the 1999 Italian original. Zbl 1068.26001
Giaquinta, Mariano; Modica, Giuseppe
1
2005
Regularity of the minima in the calculus of variations. Zbl 0613.49015
Giaquinta, M.
1
1987
Topics in calculus of variations. Lectures given at the 2nd 1987 session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 20-28, 1987. Zbl 0668.00016
1
1989
The early period of the calculus of variations. Zbl 1350.01001
Freguglia, Paolo; Giaquinta, Mariano
2
2016
An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs. 2nd ed. Zbl 1262.35001
Giaquinta, Mariano; Martinazzi, Luca
129
2012
Mathematical analysis. Foundations and advanced techniques for functions of several variables. Zbl 1236.26001
Giaquinta, Mariano; Modica, Giuseppe
8
2012
A new approximation of relaxed energies for harmonic maps and the Faddeev model. Zbl 1221.58012
Giaquinta, Mariano; Hong, Min-Chun; Yin, Hao
3
2011
Ground states of simple bodies that may undergo brittle fractures. Zbl 1372.74009
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico
3
2010
A variational problem in the mechanics of complex materials. Zbl 1209.49012
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe
2
2010
Currents and curvature varifolds in continuum mechanics. Zbl 1235.49080
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico
1
2010
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
Relaxation results for a class of functionals with linear growth defined on manifold constrained mappings. Zbl 1204.49010
Giaquinta, Mariano; Mucci, Domenico
3
2008
Maps of bounded variation with values into a manifold: total variation and relaxed energy. Zbl 1347.49076
Giaquinta, Mariano; Mucci, Domenico
13
2007
Mathematical analysis. Linear and metric structures and continuity. Zbl 1125.26001
Giaquinta, Mariano; Modica, Giuseppe
4
2007
Erratum and addendum to: The \(BV\)-energy of maps into a manifold: relaxation and density results. Zbl 1150.49021
Giaquinta, Mariano; Mucci, Domenico
1
2007
The BV-energy of maps into a manifold: relaxation and density results. Zbl 1150.49020
Giaquinta, Mariano; Mucci, Domenico
16
2006
Maps into manifolds and currents: area and \(W^{1,2}\)-, \(W^{1/2}\)-, \(BV\)-energies. Zbl 1111.49001
Giaquinta, Mariano; Mucci, Domenico
4
2006
Density results relative to the Dirichlet energy of mappings into a manifold. Zbl 1115.49012
Giaquinta, Mariano; Mucci, Domenico
2
2006
An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs. Zbl 1093.35001
Giaquinta, Mariano; Martinazzi, Luca
36
2005
Stochastic currents. Zbl 1087.60043
Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M.
10
2005
On sequences of maps into a manifold with equibounded \(W^{1/2}\)-energies. Zbl 1084.46024
Giaquinta, M.; Mucci, D.
7
2005
Density results for the \(W^{1/2}\) energy of maps into a manifold. Zbl 1229.58010
Giaquinta, Mariano; Mucci, Domenico
6
2005
The relaxed Dirichlet energy of mappings into a manifold. Zbl 1080.49029
Giaquinta, Mariano; Mucci, Domenico
3
2005
Mathematical analysis. Approximation and discrete processes. Translated and revised from the 1999 Italian original. Zbl 1068.26001
Giaquinta, Mariano; Modica, Giuseppe
1
2005
The Dirichlet energy of mappings from \(B^3\) into a manifold: density results and gap phenomenon. Zbl 1055.49030
Giaquinta, Mariano; Mucci, Domenico
5
2004
On sequences of maps into \(S^1\) with equibounded \(W^{1/2}\) energies. Zbl 1067.49029
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
4
2004
Partial regularity of minimizers of a functional involving forms and maps. Zbl 1120.35037
Giaquinta, Mariano; Hong, Min-Chun
3
2004
Weak and strong density results for the Dirichlet energy. Zbl 1043.49040
Giaquinta, Mariano; Mucci, Domenico
3
2004
On sequence of maps with equibounded energies. Zbl 1013.49030
Giaquinta, Mariano; Modica, Giuseppe
6
2001
Hilbert and the calculus of variations. (Hilbert e il calcolo delle variazioni.) Zbl 1195.49003
Giaquinta, Mariano
5
2000
Preface. Zbl 0924.01025
Giaquinta, M.; Shatah, J.; Varadhan, S. R. S.
1
1999
Cartesian currents in the calculus of variations I. Cartesian currents. Zbl 0914.49001
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
196
1998
One-dimensional variational problems. An introduction. Zbl 0915.49001
Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan
100
1998
Cartesian currents in the calculus of variations II. Variational integrals. Zbl 0914.49002
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
35
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
Cartesian currents in the calculus of variations. Zbl 1006.49030
Giaquinta, M.
12
1997
Calculus of variations 1. The Lagrangian formalism. Zbl 0853.49001
Giaquinta, Mariano; Hildebrandt, Stefan
72
1996
Calculus of variations 2. The Hamiltonian formalism. Zbl 0853.49002
Giaquinta, Mariano; Hildebrandt, Stefan
27
1996
On the self-length of two-dimensional Banach spaces. Zbl 0854.46012
Chalmers, B.; Franchetti, C.; Giaquinta, M.
3
1996
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.
4
1994
Introduction to regularity theory for nonlinear elliptic systems. Zbl 0786.35001
Giaquinta, Mariano
146
1993
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.
12
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
4
1990
Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity. Zbl 0677.73014
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
47
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
Topics in calculus of variations. Lectures given at the 2nd 1987 session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 20-28, 1987. Zbl 0668.00016
1
1989
Convex functionals and partial regularity. Zbl 0658.49005
Anzellotti, G.; Giaquinta, M.
34
1988
Quasiconvexity, growth conditions and partial regularity. Zbl 0658.49006
Giaquinta, Mariano
6
1988
Some remarks on the regularity of minimizers. Zbl 0657.49007
Giaquinta, Mariano
1
1988
Growth conditions and regularity. A counterexample. Zbl 0638.49005
Giaquinta, Mariano
117
1987
Local existence for quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0655.35049
Giaquinta, Mariano; Modica, Giuseppe
19
1987
Partial regularity for minima of variational integrals. Zbl 0637.49005
Giaquinta, Mariano; Ivert, Per-Anders
2
1987
The problem of the regularity of minimizers. Zbl 0667.49029
Giaquinta, Mariano
2
1987
Regularity of the minima in the calculus of variations. Zbl 0613.49015
Giaquinta, M.
1
1987
Remarks on the regularity of the minimizers of certain degenerate functionals. Zbl 0607.49003
Giaquinta, Mariano; Modica, Giuseppe
108
1986
Partial regularity of minimizers of quasiconvex integrals. Zbl 0594.49004
Giaquinta, Mariano; Modica, Giuseppe
65
1986
Researches on the equilibrium of masonry structures. Zbl 0656.73012
Giaquinta, Mariano; Giusti, Enrico
31
1985
Caccioppoli’s inequality and Legendre-Hadamard condition. Zbl 0561.35027
Giaquinta, Mariano; Souček, Jiři
12
1985
Harmonic maps into a hemisphere. Zbl 0599.58017
Giaquinta, M.; Souček, J.
8
1985
Quasi-minima. Zbl 0541.49008
Giaquinta, Mariano; Giusti, Enrico
58
1984
The singular set of the minima of certain quadratic functionals. Zbl 0543.49018
Giaquinta, Mariano; Giusti, Enrico
45
1984
Global \(C^{1/\alpha}\)-regularity for second order quasilinear elliptic equations in divergence form. Zbl 0528.35014
Giaquinta, M.; Giusti, E.
25
1984
Sharp estimates for the derivatives of local minima of variational integrals. Zbl 0543.49019
Giaquinta, Mariano; Giusti, Enrico
12
1984
Direct methods for regularity in the calculus of variations. Zbl 0553.49011
Giaquinta, M.
3
1984
Multiple integrals in the calculus of variations and nonlinear elliptic systems. Zbl 0516.49003
Giaquinta, Mariano
903
1983
Differentiability of minima of non-differentiable functionals. Zbl 0513.49003
Giaquinta, Mariano; Giusti, Enrico
54
1983
The regularity problem of extremals of variational integrals. Zbl 0528.49005
Giaquinta, Mariano
2
1983
On the regularity of the minima of variational integrals. Zbl 0494.49031
Giaquinta, Mariano; Giusti, Enrico
233
1982
Non linear systems of the type of the stationary Navier-Stokes system. Zbl 0492.35018
Giaquinta, M.; Modica, G.
85
1982
On the partial regularity of weak solutions on nonlinear parabolic systems. Zbl 0469.35028
Giaquinta, Mariano; Struwe, Michael
84
1982
On the existence of the fields of stresses and displacements for an elasto-perfectly plastic body in static equilibrium. Zbl 0467.73044
Anzellotti, G.; Giaquinta, M.
28
1982
A priori estimates for harmonic mappings. Zbl 0508.58015
Giaquinta, Mariano; Hildebrandt, Stefan
27
1982
On the regularity up to the boundary for second order nonlinear elliptic systems. Zbl 0485.35020
Giaquinta, M.; Nečas, Jindřich; John, Oldřich; Stará, Jana
3
1982
On differentiability of the extremals of variational integrals. Zbl 0494.49032
Giaquinta, Mariano
2
1982
An optimal regularity result for a class of quasilinear parabolic systems. Zbl 0475.35026
Giaquinta, Mariano; Struwe, Michael
23
1981
Multiple integrals in the calculus of variations and non linear elliptic systems. Zbl 0498.49001
Giaquinta, Mariano
14
1981
Remarks on the regularity of weak solutions to some variational inequalities. Zbl 0438.35019
Giaquinta, Mariano
11
1981
Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques. Zbl 0486.35030
Giaquinta, M.; Hildebrandt, S.
3
1981
Existence of the displacements field for an elasto-plastic body subject to Hecky’s law and von Mises yield condition. Zbl 0465.73022
Anzellotti, Gabriele; Giaquinta, Mariano
55
1980
On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations. Zbl 0435.35036
Giaquinta, M.; Necas, J.
5
1980
Regularity results for some classes of higher order non linear elliptic systems. Zbl 0409.35015
Giaquinta, M.; Modica, G.
133
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
46
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
On the regularity of weak solutions to nonlinear elliptic systems via Liouville’s type property. Zbl 0396.35047
Giaquinta, M.; Necas, J.
4
1979
Sistemi ellittici non lineari. Teoria della regolarita. Zbl 0443.35026
Giaquinta, M.
3
1979
Nonlinear elliptic systems with quadratic growth. Zbl 0378.35027
Giaquinta, Mariano; Giusti, Enrico
48
1978
Funzioni BV e tracce. Zbl 0432.46031
Anzellotti, G.; Giaquinta, M.
39
1978
A counter-example to the boundary regularity of solutions to elliptic quasilinear systems. Zbl 0373.35027
Giaquinta, Mariano
26
1978
Regolarita Lipschitziana per la soluzione di alcuni problemi di minimo con vincolo. Zbl 0325.49009
Giaquinta, M.; Modica, G.
13
1975
On the Dirichlet problem for surfaces of prescribed mean curvature. Zbl 0276.35038
Giaquinta, Mariano
35
1974
Sul problema di Dirichlet per le superfici a curvatura media assegnata. Zbl 0305.35031
Giaquinta, Mariano
3
1974
Esistenza per il problema dell’area e controesempio di Bernstein. Zbl 0313.49029
Giaquinta, M.; Souček, Jiří
3
1974
...and 4 more Documents
all top 5

Cited by 2,084 Authors

59 Fuchs, Martin
43 Giaquinta, Mariano
34 Mingione, Giuseppe
33 Arkhipova, Arina A. Arkhipova
30 Passarelli di Napoli, Antonia
28 Leonetti, Francesco
27 Dong, Hongjie
24 Bildhauer, Michael
23 Mucci, Domenico
22 Byun, Sun-Sig
22 Fusco, Nicola
22 Modica, Giuseppe
20 Duzaar, Frank
20 Marcellini, Paolo
19 Bögelein, Verena
18 Kim, Seick
17 Bulíček, Miroslav
16 Scheven, Christoph
16 Tan, Zhong
16 Wang, Jialin
15 Chen, Shuhong
15 Gao, Hongya
15 Hong, Minchun
15 Kristensen, Jan
15 Mascolo, Elvira
15 Soucek, Jiri
15 Tachikawa, Atsushi
15 Yao, Fengping
15 Zheng, Shenzhou
14 Frehse, Jens
14 Jost, Jürgen
14 Wang, Lihe
13 Carozza, Menita
13 Cupini, Giovanni
13 Fonseca, Irene
13 Smarrazzo, Flavia
13 Stará, Jana
13 Verde, Anna
13 Wolf, Jörg
12 Beck, Lisa
12 Cianchi, Andrea
12 Focardi, Matteo
12 Giannetti, Flavia
12 Le, Dung
12 Liao, Dongni
12 Vespri, Vincenzo Riccardo
11 Ambrosio, Luigi
11 Anzellotti, Gabriele
11 Björn, Jana
11 Bousquet, Pierre
11 Breit, Dominic
11 Guliyev, Vagif Sabir
11 Katzourakis, Nikolaos I.
11 Kinnunen, Juha
11 Mariano, Paolo Maria
11 Misawa, Masashi
11 Rivière, Tristan
11 Struwe, Michael
11 Tesei, Alberto
10 Acerbi, Emilio
10 Björn, Anders
10 Brézis, Haïm
10 Choe, Hi Jun
10 Choi, Jongkeun
10 Daněček, Josef
10 Giusti, Enrico
10 Lieberman, Gary M.
10 Parviainen, Mikko
10 Seregin, Gregory A.
10 Sychev, Mikhail A.
10 Zhang, Kewei
9 Chae, Dongho
9 Dal Maso, Gianni
9 Hardt, Robert M.
9 Kinderlehrer, David
9 Malý, Jan
9 Marola, Niko
9 Otto, Felix
9 Samko, Stefan Grigorievich
9 Sbordone, Carlo
9 Schmidt, Thomas
9 Shen, Zhongwei
9 Xiao, Jie
8 Babadjian, Jean-François
8 Baroni, Paolo
8 Canevari, Giacomo
8 Conti, Sergio
8 DiBenedetto, Emmanuele
8 Flandoli, Franco
8 Giova, Raffaella
8 Goodrich, Christopher S.
8 Isobe, Takeshi
8 Kang, Kyungkeun
8 Kenig, Carlos Eduardo
8 Kuusi, Tuomo
8 Leonardi, Salvatore
8 Lin, Fang Hua
8 Mariconda, Carlo
8 Millot, Vincent
8 Müller, Jan-Steffen
...and 1,984 more Authors
all top 5

Cited in 334 Serials

166 Calculus of Variations and Partial Differential Equations
119 Archive for Rational Mechanics and Analysis
119 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
117 Journal of Differential Equations
96 Manuscripta Mathematica
93 Journal of Mathematical Analysis and Applications
88 Annali di Matematica Pura ed Applicata. Serie Quarta
67 Journal of Mathematical Sciences (New York)
65 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
60 Journal of Functional Analysis
56 Communications in Partial Differential Equations
37 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
36 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
35 Mathematische Zeitschrift
33 Transactions of the American Mathematical Society
33 Nonlinear Analysis. Theory, Methods & Applications
32 SIAM Journal on Mathematical Analysis
31 Journal de Mathématiques Pures et Appliquées. Neuvième Série
28 Mathematische Annalen
27 Advances in Mathematics
26 Proceedings of the American Mathematical Society
25 The Journal of Geometric Analysis
24 Rendiconti del Seminario Matematico della Università di Padova
23 Communications in Mathematical Physics
22 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
22 NoDEA. Nonlinear Differential Equations and Applications
22 Advances in Calculus of Variations
20 Journal of Mathematical Fluid Mechanics
18 Journal of Inequalities and Applications
17 Potential Analysis
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 Comptes Rendus. Mathématique. Académie des Sciences, Paris
15 Advances in Nonlinear Analysis
14 Applied Mathematics and Optimization
13 Zeitschrift für Analysis und ihre Anwendungen
13 Acta Mathematica Sinica. English Series
13 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
12 Mathematical Methods in the Applied Sciences
12 Meccanica
12 Journal of Evolution Equations
11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
11 St. Petersburg Mathematical Journal
10 Applicable Analysis
10 Journal of Optimization Theory and Applications
10 Forum Mathematicum
10 Discrete and Continuous Dynamical Systems
10 Journal of the European Mathematical Society (JEMS)
10 Communications on Pure and Applied Analysis
9 Inventiones Mathematicae
9 Revista Matemática Iberoamericana
9 Communications in Contemporary Mathematics
9 Nonlinear Analysis. Real World Applications
8 Arkiv för Matematik
8 Duke Mathematical Journal
8 Journal of Nonlinear Science
8 Mathematics and Mechanics of Solids
8 Advanced Nonlinear Studies
8 Science China. Mathematics
7 Journal d’Analyse Mathématique
7 Journal of Mathematical Physics
7 Mathematische Nachrichten
7 Numerische Mathematik
7 Journal of Elasticity
7 Boundary Value Problems
7 Journal of Fixed Point Theory and Applications
6 Bulletin of the Australian Mathematical Society
6 Communications on Pure and Applied Mathematics
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Acta Mathematica
6 Archiv der Mathematik
6 Journal für die Reine und Angewandte Mathematik
6 Journal of Soviet Mathematics
6 Siberian Mathematical Journal
6 Annals of Global Analysis and Geometry
6 Science in China. Series A
6 Applications of Mathematics
6 SIAM Journal on Applied Mathematics
6 Acta Mathematica Sinica. New Series
6 Journal of Mathematical Imaging and Vision
6 Journal of Convex Analysis
6 Vietnam Journal of Mathematics
6 Interfaces and Free Boundaries
6 Multiscale Modeling & Simulation
6 Mediterranean Journal of Mathematics
5 Computer Methods in Applied Mechanics and Engineering
5 Israel Journal of Mathematics
5 Journal of Computational Physics
5 Czechoslovak Mathematical Journal
5 Ricerche di Matematica
5 Chinese Annals of Mathematics. Series B
5 Continuum Mechanics and Thermodynamics
5 Annales Academiae Scientiarum Fennicae. Mathematica
5 Doklady Mathematics
5 Milan Journal of Mathematics
5 Journal of Function Spaces and Applications
5 Complex Variables and Elliptic Equations
5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
5 Journal of Elliptic and Parabolic Equations
4 Journal of Statistical Physics
4 Mathematical Notes
...and 234 more Serials
all top 5

Cited in 51 Fields

1,553 Partial differential equations (35-XX)
858 Calculus of variations and optimal control; optimization (49-XX)
266 Mechanics of deformable solids (74-XX)
252 Global analysis, analysis on manifolds (58-XX)
202 Fluid mechanics (76-XX)
197 Functional analysis (46-XX)
178 Differential geometry (53-XX)
110 Real functions (26-XX)
88 Operator theory (47-XX)
82 Harmonic analysis on Euclidean spaces (42-XX)
79 Numerical analysis (65-XX)
65 Potential theory (31-XX)
47 Functions of a complex variable (30-XX)
47 Probability theory and stochastic processes (60-XX)
46 Statistical mechanics, structure of matter (82-XX)
45 Measure and integration (28-XX)
37 Dynamical systems and ergodic theory (37-XX)
33 Information and communication theory, circuits (94-XX)
26 Ordinary differential equations (34-XX)
26 Mechanics of particles and systems (70-XX)
25 Biology and other natural sciences (92-XX)
22 Operations research, mathematical programming (90-XX)
21 Computer science (68-XX)
18 Quantum theory (81-XX)
16 Systems theory; control (93-XX)
15 Several complex variables and analytic spaces (32-XX)
15 Convex and discrete geometry (52-XX)
15 Classical thermodynamics, heat transfer (80-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Statistics (62-XX)
12 Relativity and gravitational theory (83-XX)
10 Optics, electromagnetic theory (78-XX)
9 History and biography (01-XX)
9 Approximations and expansions (41-XX)
9 Algebraic topology (55-XX)
9 Manifolds and cell complexes (57-XX)
8 Integral equations (45-XX)
7 Topological groups, Lie groups (22-XX)
7 Geometry (51-XX)
7 General topology (54-XX)
5 Abstract harmonic analysis (43-XX)
5 Geophysics (86-XX)
4 General and overarching topics; collections (00-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Difference and functional equations (39-XX)
2 Combinatorics (05-XX)
2 Algebraic geometry (14-XX)
2 Astronomy and astrophysics (85-XX)
1 Mathematical logic and foundations (03-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)

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