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Author ID: giaquinta.mariano Recent zbMATH articles by "Giaquinta, Mariano"
Published as: Giaquinta, Mariano; Giaquinta, M.
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all top 5

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 Symposia Mathematica
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

106 Publications have been cited 4,315 times in 2,996 Documents Cited by Year
Multiple integrals in the calculus of variations and nonlinear elliptic systems. Zbl 0516.49003
Giaquinta, Mariano
1983
On the regularity of the minima of variational integrals. Zbl 0494.49031
Giaquinta, Mariano; Giusti, Enrico
269
1982
Cartesian currents in the calculus of variations I. Cartesian currents. Zbl 0914.49001
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
264
1998
An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs. 2nd ed. Zbl 1262.35001
Giaquinta, Mariano; Martinazzi, Luca
187
2012
Regularity results for some classes of higher order non linear elliptic systems. Zbl 0409.35015
Giaquinta, M.; Modica, G.
158
1979
Introduction to regularity theory for nonlinear elliptic systems. Zbl 0786.35001
Giaquinta, Mariano
157
1993
Growth conditions and regularity. A counterexample. Zbl 0638.49005
Giaquinta, Mariano
140
1987
Remarks on the regularity of the minimizers of certain degenerate functionals. Zbl 0607.49003
Giaquinta, Mariano; Modica, Giuseppe
134
1986
One-dimensional variational problems. An introduction. Zbl 0915.49001
Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan
129
1998
On the partial regularity of weak solutions on nonlinear parabolic systems. Zbl 0469.35028
Giaquinta, Mariano; Struwe, Michael
101
1982
Non linear systems of the type of the stationary Navier-Stokes system. Zbl 0492.35018
Giaquinta, M.; Modica, G.
95
1982
Calculus of variations 1. The Lagrangian formalism. Zbl 0853.49001
Giaquinta, Mariano; Hildebrandt, Stefan
83
1996
Partial regularity of minimizers of quasiconvex integrals. Zbl 0594.49004
Giaquinta, Mariano; Modica, Giuseppe
79
1986
Quasi-minima. Zbl 0541.49008
Giaquinta, Mariano; Giusti, Enrico
71
1984
Differentiability of minima of non-differentiable functionals. Zbl 0513.49003
Giaquinta, Mariano; Giusti, Enrico
70
1983
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
58
1980
Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity. Zbl 0677.73014
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
51
1989
Nonlinear elliptic systems with quadratic growth. Zbl 0378.35027
Giaquinta, Mariano; Giusti, Enrico
50
1978
Functionals with linear growth in the calculus of variations. I. Zbl 0409.49006
Giaquinta, M.; Modica, G.; Souček, Jiří
50
1979
The singular set of the minima of certain quadratic functionals. Zbl 0543.49018
Giaquinta, Mariano; Giusti, Enrico
49
1984
Cartesian currents in the calculus of variations II. Variational integrals. Zbl 0914.49002
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
49
1998
Almost-everywhere regularity results for solutions of nonlinear elliptic systems. Zbl 0411.35018
Giaquinta, Mariano; Modica, Giuseppe
49
1979
Funzioni BV e tracce. Zbl 0432.46031
Anzellotti, G.; Giaquinta, M.
49
1978
An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs. Zbl 1093.35001
Giaquinta, Mariano; Martinazzi, Luca
47
2005
Cartesian currents and variational problems for mappings into spheres. Zbl 0713.49014
Giaquinta, M.; Modica, G.; Souček, J.
38
1989
Convex functionals and partial regularity. Zbl 0658.49005
Anzellotti, G.; Giaquinta, M.
37
1988
Calculus of variations 2. The Hamiltonian formalism. Zbl 0853.49002
Giaquinta, Mariano; Hildebrandt, Stefan
37
1996
On the Dirichlet problem for surfaces of prescribed mean curvature. Zbl 0276.35038
Giaquinta, Mariano
36
1974
Researches on the equilibrium of masonry structures. Zbl 0656.73012
Giaquinta, Mariano; Giusti, Enrico
35
1985
Global \(C^{1/\alpha}\)-regularity for second order quasilinear elliptic equations in divergence form. Zbl 0528.35014
Giaquinta, M.; Giusti, E.
34
1984
Partial regularity for the solutions to nonlinear parabolic systems. Zbl 0276.35062
Giaquinta, M.; Giusti, E.
33
1973
The Dirichlet energy of mappings with values into the sphere. Zbl 0678.49006
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
28
1989
A priori estimates for harmonic mappings. Zbl 0508.58015
Giaquinta, Mariano; Hildebrandt, Stefan
28
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 counter-example to the boundary regularity of solutions to elliptic quasilinear systems. Zbl 0373.35027
Giaquinta, Mariano
27
1978
An optimal regularity result for a class of quasilinear parabolic systems. Zbl 0475.35026
Giaquinta, Mariano; Struwe, Michael
25
1981
Variational problems for maps of bounded variation with values in \(S^ 1\). Zbl 0810.49040
Giaquinta, M.; Modica, G.; Souček, J.
23
1993
Local existence for quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0655.35049
Giaquinta, Mariano; Modica, Giuseppe
22
1987
Esistenza e regolarita per il problema dell’area minima con ostacoli in n variabili. Zbl 0283.49032
Giaquinta, M.; Pepe, L.
19
1971
Functionals with linear growth in the calculus of variations. II. Zbl 0409.49007
Giaquinta, M.; Modica, G.; Souček, Jiří
18
1979
Sharp estimates for the derivatives of local minima of variational integrals. Zbl 0543.49019
Giaquinta, Mariano; Giusti, Enrico
17
1984
The BV-energy of maps into a manifold: relaxation and density results. Zbl 1150.49020
Giaquinta, Mariano; Mucci, Domenico
16
2006
Stochastic currents. Zbl 1087.60043
Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M.
16
2005
Regolarita Lipschitziana per la soluzione di alcuni problemi di minimo con vincolo. Zbl 0325.49009
Giaquinta, M.; Modica, G.
15
1975
Multiple integrals in the calculus of variations and non linear elliptic systems. Zbl 0498.49001
Giaquinta, Mariano
14
1981
Caccioppoli’s inequality and Legendre-Hadamard condition. Zbl 0561.35027
Giaquinta, Mariano; Souček, Jiři
14
1985
Graphs of finite mass which cannot be approximated in area by smooth graphs. Zbl 0796.58006
Giaquinta, M.; Modica, G.; Souček, J.
14
1993
Remarks on the regularity of weak solutions to some variational inequalities. Zbl 0438.35019
Giaquinta, Mariano
13
1981
Area and the area formula. Zbl 0828.49022
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
13
1992
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
Energy minimizing maps from a domain of \(\mathbb{R}^3\) into \(S^2\). Zbl 0910.49026
Giaquinta, M.; Modica, G.; Souček, J.
11
1998
Regolarita delle superfici \(BV (\Omega )\) con curvatura media assegnata. Zbl 0274.35028
Giaquinta, M.
11
1973
Mathematical analysis. An introduction to functions of several variables. Zbl 1177.26001
Giaquinta, Mariano; Modica, Giuseppe
10
2009
Liquid crystals: Relaxed energies, dipoles, singular lines and singular points. Zbl 0760.49026
Giaquinta, M.; Modica, G.; Souček, J.
10
1990
Harmonic maps into a hemisphere. Zbl 0599.58017
Giaquinta, M.; Souček, J.
9
1985
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
On sequences of maps into a manifold with equibounded \(W^{1/2}\)-energies. Zbl 1084.46024
Giaquinta, M.; Mucci, D.
7
2005
Maps into manifolds and currents: area and \(W^{1,2}\)-, \(W^{1/2}\)-, \(BV\)-energies. Zbl 1111.49001
Giaquinta, Mariano; Mucci, Domenico
7
2006
Erratum and addendum to “Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity”. Zbl 0712.73009
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
7
1990
On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations. Zbl 0435.35036
Giaquinta, M.; Necas, J.
7
1980
Quasiconvexity, growth conditions and partial regularity. Zbl 0658.49006
Giaquinta, Mariano
6
1988
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
6
2000
Density results for the \(W^{1/2}\) energy of maps into a manifold. Zbl 1229.58010
Giaquinta, Mariano; Mucci, Domenico
6
2005
Remarks on the degree theory. Zbl 0822.55003
Giaquinta, M.; Modica, G.; Souček, J.
6
1994
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.
5
1979
A weak approach to finite elasticity. Zbl 0806.49007
Giaquinta, M.; Modica, G.; Souček, J.
5
1994
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
Ground states of simple bodies that may undergo brittle fractures. Zbl 1372.74009
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico
5
2010
Mathematical analysis. Linear and metric structures and continuity. Zbl 1125.26001
Giaquinta, Mariano; Modica, Giuseppe
4
2007
Relaxation results for a class of functionals with linear growth defined on manifold constrained mappings. Zbl 1204.49010
Giaquinta, Mariano; Mucci, Domenico
4
2008
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
4
2004
Functionals with linear growth in the calculus of variations. I,. Zbl 0421.49010
Giaquinta, M.; Modica, G.; Soucek, J.
4
1979
The early period of the calculus of variations. Zbl 1350.01001
Freguglia, Paolo; Giaquinta, Mariano
4
2016
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
4
2010
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
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
On the self-length of two-dimensional Banach spaces. Zbl 0854.46012
Chalmers, B.; Franchetti, C.; Giaquinta, M.
3
1996
The relaxed Dirichlet energy of mappings into a manifold. Zbl 1080.49029
Giaquinta, Mariano; Mucci, Domenico
3
2005
Weak and strong density results for the Dirichlet energy. Zbl 1043.49040
Giaquinta, Mariano; Mucci, Domenico
3
2004
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
Sistemi ellittici non lineari. Teoria della regolarita. Zbl 0443.35026
Giaquinta, M.
3
1979
Stress constraints in simple bodies undergoing large strains: a variational approach. Zbl 1338.49091
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe
3
2015
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
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
2
1989
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
Density results relative to the Dirichlet energy of mappings into a manifold. Zbl 1115.49012
Giaquinta, Mariano; Mucci, Domenico
2
2006
Preface. Zbl 0924.01025
Giaquinta, M.; Shatah, J.; Varadhan, S. R. S.
2
1999
Equazioni ellittiche di ordine \(2m\) di tipo Cordes. Zbl 0212.44801
Giaquinta, M.
2
1971
Currents and curvature varifolds in continuum mechanics. Zbl 1235.49080
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico
2
2010
The early period of the calculus of variations. Zbl 1350.01001
Freguglia, Paolo; Giaquinta, Mariano
4
2016
Stress constraints in simple bodies undergoing large strains: a variational approach. Zbl 1338.49091
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe
3
2015
Mathematics in the social sciences: reflections on the theory of social choice and welfare. Zbl 1432.91049
Giaquinta, Mariano; Hosni, Hykel
1
2015
An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs. 2nd ed. Zbl 1262.35001
Giaquinta, Mariano; Martinazzi, Luca
187
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
5
2010
A variational problem in the mechanics of complex materials. Zbl 1209.49012
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe
4
2010
Currents and curvature varifolds in continuum mechanics. Zbl 1235.49080
Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico
2
2010
Mathematical analysis. An introduction to functions of several variables. Zbl 1177.26001
Giaquinta, Mariano; Modica, Giuseppe
10
2009
Relaxation results for a class of functionals with linear growth defined on manifold constrained mappings. Zbl 1204.49010
Giaquinta, Mariano; Mucci, Domenico
4
2008
The relaxed Dirichlet energy of manifold constrained mappings. Zbl 1157.49043
Giaquinta, Mariano; Modica, Giuseppe; Mucci, Domenico
4
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
7
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
47
2005
Stochastic currents. Zbl 1087.60043
Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M.
16
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
4
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
6
2000
Preface. Zbl 0924.01025
Giaquinta, M.; Shatah, J.; Varadhan, S. R. S.
2
1999
Cartesian currents in the calculus of variations I. Cartesian currents. Zbl 0914.49001
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
264
1998
One-dimensional variational problems. An introduction. Zbl 0915.49001
Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan
129
1998
Cartesian currents in the calculus of variations II. Variational integrals. Zbl 0914.49002
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
49
1998
Energy minimizing maps from a domain of \(\mathbb{R}^3\) into \(S^2\). Zbl 0910.49026
Giaquinta, M.; Modica, G.; Souček, J.
11
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
83
1996
Calculus of variations 2. The Hamiltonian formalism. Zbl 0853.49002
Giaquinta, Mariano; Hildebrandt, Stefan
37
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.
5
1994
Introduction to regularity theory for nonlinear elliptic systems. Zbl 0786.35001
Giaquinta, Mariano
157
1993
Variational problems for maps of bounded variation with values in \(S^ 1\). Zbl 0810.49040
Giaquinta, M.; Modica, G.; Souček, J.
23
1993
Graphs of finite mass which cannot be approximated in area by smooth graphs. Zbl 0796.58006
Giaquinta, M.; Modica, G.; Souček, J.
14
1993
Area and the area formula. Zbl 0828.49022
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
13
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
7
1990
Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity. Zbl 0677.73014
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
51
1989
Cartesian currents and variational problems for mappings into spheres. Zbl 0713.49014
Giaquinta, M.; Modica, G.; Souček, J.
38
1989
The Dirichlet energy of mappings with values into the sphere. Zbl 0678.49006
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří
28
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
2
1989
Convex functionals and partial regularity. Zbl 0658.49005
Anzellotti, G.; Giaquinta, M.
37
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
140
1987
Local existence for quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0655.35049
Giaquinta, Mariano; Modica, Giuseppe
22
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
134
1986
Partial regularity of minimizers of quasiconvex integrals. Zbl 0594.49004
Giaquinta, Mariano; Modica, Giuseppe
79
1986
Researches on the equilibrium of masonry structures. Zbl 0656.73012
Giaquinta, Mariano; Giusti, Enrico
35
1985
Caccioppoli’s inequality and Legendre-Hadamard condition. Zbl 0561.35027
Giaquinta, Mariano; Souček, Jiři
14
1985
Harmonic maps into a hemisphere. Zbl 0599.58017
Giaquinta, M.; Souček, J.
9
1985
Quasi-minima. Zbl 0541.49008
Giaquinta, Mariano; Giusti, Enrico
71
1984
The singular set of the minima of certain quadratic functionals. Zbl 0543.49018
Giaquinta, Mariano; Giusti, Enrico
49
1984
Global \(C^{1/\alpha}\)-regularity for second order quasilinear elliptic equations in divergence form. Zbl 0528.35014
Giaquinta, M.; Giusti, E.
34
1984
Sharp estimates for the derivatives of local minima of variational integrals. Zbl 0543.49019
Giaquinta, Mariano; Giusti, Enrico
17
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
1983
Differentiability of minima of non-differentiable functionals. Zbl 0513.49003
Giaquinta, Mariano; Giusti, Enrico
70
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
269
1982
On the partial regularity of weak solutions on nonlinear parabolic systems. Zbl 0469.35028
Giaquinta, Mariano; Struwe, Michael
101
1982
Non linear systems of the type of the stationary Navier-Stokes system. Zbl 0492.35018
Giaquinta, M.; Modica, G.
95
1982
A priori estimates for harmonic mappings. Zbl 0508.58015
Giaquinta, Mariano; Hildebrandt, Stefan
28
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
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
25
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
13
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
58
1980
On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations. Zbl 0435.35036
Giaquinta, M.; Necas, J.
7
1980
Regularity results for some classes of higher order non linear elliptic systems. Zbl 0409.35015
Giaquinta, M.; Modica, G.
158
1979
Functionals with linear growth in the calculus of variations. I. Zbl 0409.49006
Giaquinta, M.; Modica, G.; Souček, Jiří
50
1979
Almost-everywhere regularity results for solutions of nonlinear elliptic systems. Zbl 0411.35018
Giaquinta, Mariano; Modica, Giuseppe
49
1979
Functionals with linear growth in the calculus of variations. II. Zbl 0409.49007
Giaquinta, M.; Modica, G.; Souček, Jiří
18
1979
On the regularity of weak solutions to nonlinear elliptic systems via Liouville’s type property. Zbl 0396.35047
Giaquinta, M.; Necas, J.
5
1979
Functionals with linear growth in the calculus of variations. I,. Zbl 0421.49010
Giaquinta, M.; Modica, G.; Soucek, 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
50
1978
Funzioni BV e tracce. Zbl 0432.46031
Anzellotti, G.; Giaquinta, M.
49
1978
A counter-example to the boundary regularity of solutions to elliptic quasilinear systems. Zbl 0373.35027
Giaquinta, Mariano
27
1978
Regolarita Lipschitziana per la soluzione di alcuni problemi di minimo con vincolo. Zbl 0325.49009
Giaquinta, M.; Modica, G.
15
1975
On the Dirichlet problem for surfaces of prescribed mean curvature. Zbl 0276.35038
Giaquinta, Mariano
36
1974
...and 6 more Documents
all top 5

Cited by 2,482 Authors

62 Fuchs, Martin
44 Giaquinta, Mariano
37 Mingione, Giuseppe
36 Arkhipova, Arina A. Arkhipova
34 Passarelli di Napoli, Antonia
31 Dong, Hongjie
31 Leonetti, Francesco
29 Mucci, Domenico
27 Bildhauer, Michael
25 Bögelein, Verena
25 Duzaar, Frank
24 Byun, Sun-Sig
23 Fusco, Nicola
23 Marcellini, Paolo
22 Modica, Giuseppe
21 Scheven, Christoph
20 Tan, Zhong
20 Zheng, Shenzhou
19 Kim, Seick
18 Mascolo, Elvira
18 Yao, Fengping
17 Bulíček, Miroslav
17 Gao, Hongya
17 Tachikawa, Atsushi
16 Chen, Shuhong
16 Wang, Jialin
16 Wolf, Jörg
15 Cupini, Giovanni
15 Giannetti, Flavia
15 Hong, Minchun
15 Kinnunen, Juha
15 Kristensen, Jan
15 Soucek, Jiri
15 Stará, Jana
15 Verde, Anna
15 Vespri, Vincenzo Riccardo
14 Carozza, Menita
14 Choi, Jongkeun
14 Frehse, Jens
14 Jost, Jürgen
14 Mariano, Paolo Maria
14 Misawa, Masashi
14 Smarrazzo, Flavia
14 Wang, Lihe
13 Beck, Lisa
13 Björn, Anders
13 Björn, Jana
13 Breit, Dominic
13 Cianchi, Andrea
13 Focardi, Matteo
13 Fonseca, Irene
13 Guliyev, Vagif Sabir
13 Katzourakis, Nikolaos I.
13 Samko, Stefan Grigor’evich
12 Acerbi, Emilio
12 Bousquet, Pierre
12 Chae, Dongho
12 Le, Dung
12 Liao, Dongni
12 Samko, Natasha
12 Sychev, Mikhail A.
12 Tesei, Alberto
11 Ambrosio, Luigi
11 Anzellotti, Gabriele
11 Brézis, Haïm
11 Daněček, Josef
11 De Filippis, Cristiana
11 Mariconda, Carlo
11 Otto, Felix
11 Rivière, Tristan
11 Struwe, Michael
10 Canevari, Giacomo
10 Choe, Hi Jun
10 Giova, Raffaella
10 Giusti, Enrico
10 Lieberman, Gary M.
10 Ok, Jihoon
10 Parviainen, Mikko
10 Schikorra, Armin
10 Schmidt, Thomas
10 Seregin, Gregory A.
10 Stroffolini, Bianca
10 Treu, Giulia
10 Xiao, Jie
10 Zhang, Kewei
9 Babadjian, Jean-François
9 Dal Maso, Gianni
9 DiBenedetto, Emmanuele
9 Flandoli, Franco
9 Goodrich, Christopher S.
9 Hardt, Robert M.
9 Henao, Duvan A.
9 Kenig, Carlos Eduardo
9 Kinderlehrer, David
9 Leonardi, Salvatore
9 Leone, Chiara
9 Malý, Jan
9 Marola, Niko
9 Millot, Vincent
9 Mora-Corral, Carlos
...and 2,382 more Authors
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Cited in 388 Serials

200 Calculus of Variations and Partial Differential Equations
145 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
140 Archive for Rational Mechanics and Analysis
131 Journal of Differential Equations
101 Journal of Mathematical Analysis and Applications
100 Manuscripta Mathematica
93 Annali di Matematica Pura ed Applicata. Serie Quarta
73 Journal of Mathematical Sciences (New York)
68 Journal of Functional Analysis
65 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
59 Communications in Partial Differential Equations
41 SIAM Journal on Mathematical Analysis
39 Mathematische Zeitschrift
39 Journal de Mathématiques Pures et Appliquées. Neuvième Série
38 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
37 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
36 Mathematische Annalen
35 Transactions of the American Mathematical Society
34 Advances in Calculus of Variations
33 The Journal of Geometric Analysis
33 Nonlinear Analysis. Theory, Methods & Applications
30 NoDEA. Nonlinear Differential Equations and Applications
28 Advances in Mathematics
28 Proceedings of the American Mathematical Society
24 Communications in Mathematical Physics
24 Rendiconti del Seminario Matematico della Università di Padova
24 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
23 Journal of Mathematical Fluid Mechanics
22 Advances in Nonlinear Analysis
20 Potential Analysis
19 Journal of Inequalities and Applications
18 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 Mathematical Methods in the Applied Sciences
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
15 Communications on Pure and Applied Analysis
14 Applied Mathematics and Optimization
14 Forum Mathematicum
14 Discrete and Continuous Dynamical Systems
13 Zeitschrift für Analysis und ihre Anwendungen
13 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
13 Acta Mathematica Sinica. English Series
13 Nonlinear Analysis. Real World Applications
13 Journal of Evolution Equations
12 Applicable Analysis
12 Meccanica
12 Journal of the European Mathematical Society (JEMS)
11 Inventiones Mathematicae
11 Revista Matemática Iberoamericana
11 Journal of Nonlinear Science
11 St. Petersburg Mathematical Journal
11 Advanced Nonlinear Studies
10 Journal d’Analyse Mathématique
10 Journal of Mathematical Physics
10 Journal of Optimization Theory and Applications
10 Mathematische Nachrichten
10 Communications in Contemporary Mathematics
10 Boundary Value Problems
10 Science China. Mathematics
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Arkiv för Matematik
9 Archiv der Mathematik
9 Journal of Elasticity
9 Journal of Convex Analysis
9 Analysis & PDE
9 Journal of Elliptic and Parabolic Equations
8 Communications on Pure and Applied Mathematics
8 Duke Mathematical Journal
8 Annals of Global Analysis and Geometry
8 Journal of Mathematical Imaging and Vision
8 Mathematics and Mechanics of Solids
8 Interfaces and Free Boundaries
8 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
7 Journal für die Reine und Angewandte Mathematik
7 Numerische Mathematik
7 Siberian Mathematical Journal
7 Chinese Annals of Mathematics. Series B
7 Doklady Mathematics
7 Milan Journal of Mathematics
7 Mediterranean Journal of Mathematics
7 Complex Variables and Elliptic Equations
7 Journal of Fixed Point Theory and Applications
7 Mathematics in Engineering
6 Bulletin of the Australian Mathematical Society
6 Journal of Computational Physics
6 Nonlinearity
6 Acta Mathematica
6 Journal of the London Mathematical Society. Second Series
6 Journal of Soviet Mathematics
6 Ricerche di Matematica
6 Science in China. Series A
6 Applications of Mathematics
6 SIAM Journal on Applied Mathematics
6 Acta Mathematica Sinica. New Series
6 Vietnam Journal of Mathematics
6 Acta Mathematica Scientia. Series B. (English Edition)
6 Multiscale Modeling & Simulation
6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
5 Computer Methods in Applied Mechanics and Engineering
5 Israel Journal of Mathematics
...and 288 more Serials
all top 5

Cited in 53 Fields

1,895 Partial differential equations (35-XX)
977 Calculus of variations and optimal control; optimization (49-XX)
303 Mechanics of deformable solids (74-XX)
290 Global analysis, analysis on manifolds (58-XX)
256 Fluid mechanics (76-XX)
250 Functional analysis (46-XX)
212 Differential geometry (53-XX)
144 Real functions (26-XX)
113 Operator theory (47-XX)
110 Harmonic analysis on Euclidean spaces (42-XX)
96 Numerical analysis (65-XX)
81 Potential theory (31-XX)
68 Measure and integration (28-XX)
68 Probability theory and stochastic processes (60-XX)
62 Functions of a complex variable (30-XX)
59 Statistical mechanics, structure of matter (82-XX)
45 Dynamical systems and ergodic theory (37-XX)
36 Ordinary differential equations (34-XX)
35 Information and communication theory, circuits (94-XX)
30 Mechanics of particles and systems (70-XX)
30 Biology and other natural sciences (92-XX)
26 Operations research, mathematical programming (90-XX)
24 Computer science (68-XX)
21 Quantum theory (81-XX)
20 Convex and discrete geometry (52-XX)
18 Systems theory; control (93-XX)
17 Several complex variables and analytic spaces (32-XX)
17 Classical thermodynamics, heat transfer (80-XX)
16 Approximations and expansions (41-XX)
16 Statistics (62-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Optics, electromagnetic theory (78-XX)
13 Relativity and gravitational theory (83-XX)
10 History and biography (01-XX)
9 Integral equations (45-XX)
9 Manifolds and cell complexes (57-XX)
8 Topological groups, Lie groups (22-XX)
8 General topology (54-XX)
8 Algebraic topology (55-XX)
7 Abstract harmonic analysis (43-XX)
6 General and overarching topics; collections (00-XX)
6 Difference and functional equations (39-XX)
6 Geometry (51-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Geophysics (86-XX)
2 Combinatorics (05-XX)
2 Algebraic geometry (14-XX)
2 Astronomy and astrophysics (85-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Mathematics education (97-XX)

Citations by Year

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