Edit Profile (opens in new tab) Giaquinta, Mariano Co-Author Distance Author ID: 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 Co-Authors: 29 Co-Authors with 98 Joint Publications 842 Co-Co-Authors all top 5 Co-Authors 27 single-authored 47 Modica, Giuseppe 31 Soucek, Jiri 15 Mucci, Domenico 9 Giusti, Enrico 5 Hildebrandt, Stefan 4 Anzellotti, Gabriele 4 Mariano, Paolo Maria 3 Nečas, Jindřich 2 Hong, Minchun 2 Martinazzi, Luca 2 Shatah, Jalal 2 Struwe, Michael 2 Varadhan, S. R. Srinivasa 1 Aouček, Jiři 1 Bourguignon, Jean-Pierre 1 Buttazzo, Giuseppe 1 Chalmers, Bruce Longworthy 1 De Bartolomeis, Paolo 1 Flandoli, Franco 1 Franchetti, Carlo 1 Freguglia, Paolo 1 Gubinelli, Massimiliano 1 Hosni, Hykel 1 Ivert, Per-Anders 1 John, Oldřich 1 Pepe, Luigi 1 Stará, Jana 1 Tortorelli, Vincenzo Maria 1 Yin, Hao 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) all top 5 Fields 86 Calculus of variations and optimal control; optimization (49-XX) 51 Partial differential equations (35-XX) 22 Global analysis, analysis on manifolds (58-XX) 18 Real functions (26-XX) 14 Mechanics of deformable solids (74-XX) 10 Functional analysis (46-XX) 10 Differential geometry (53-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 3 Fluid mechanics (76-XX) 2 Mathematical logic and foundations (03-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Quantum theory (81-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications 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 1,061 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 1,061 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 cited Publications top 5 cited Publications 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 all top 5 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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