Edit Profile (opens in new tab) Giaquinta, Mariano Compute Distance To: Compute 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 787 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 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 105 Publications have been cited 3,984 times in 2,732 Documents Cited by ▼ Year ▼ Multiple integrals in the calculus of variations and nonlinear elliptic systems. Zbl 0516.49003Giaquinta, Mariano 990 1983 On the regularity of the minima of variational integrals. Zbl 0494.49031Giaquinta, Mariano; Giusti, Enrico 253 1982 Cartesian currents in the calculus of variations I. Cartesian currents. Zbl 0914.49001Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 226 1998 An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs. 2nd ed. Zbl 1262.35001Giaquinta, Mariano; Martinazzi, Luca 154 2012 Introduction to regularity theory for nonlinear elliptic systems. Zbl 0786.35001Giaquinta, Mariano 154 1993 Regularity results for some classes of higher order non linear elliptic systems. Zbl 0409.35015Giaquinta, M.; Modica, G. 145 1979 Growth conditions and regularity. A counterexample. Zbl 0638.49005Giaquinta, Mariano 128 1987 Remarks on the regularity of the minimizers of certain degenerate functionals. Zbl 0607.49003Giaquinta, Mariano; Modica, Giuseppe 123 1986 One-dimensional variational problems. An introduction. Zbl 0915.49001Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan 112 1998 Non linear systems of the type of the stationary Navier-Stokes system. Zbl 0492.35018Giaquinta, M.; Modica, G. 93 1982 On the partial regularity of weak solutions on nonlinear parabolic systems. Zbl 0469.35028Giaquinta, Mariano; Struwe, Michael 92 1982 Calculus of variations 1. The Lagrangian formalism. Zbl 0853.49001Giaquinta, Mariano; Hildebrandt, Stefan 75 1996 Partial regularity of minimizers of quasiconvex integrals. Zbl 0594.49004Giaquinta, Mariano; Modica, Giuseppe 72 1986 Quasi-minima. Zbl 0541.49008Giaquinta, Mariano; Giusti, Enrico 63 1984 Differentiability of minima of non-differentiable functionals. Zbl 0513.49003Giaquinta, Mariano; Giusti, Enrico 62 1983 Existence of the displacements field for an elasto-plastic body subject to Hecky’s law and von Mises yield condition. Zbl 0465.73022Anzellotti, Gabriele; Giaquinta, Mariano 57 1980 Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity. Zbl 0677.73014Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 49 1989 Functionals with linear growth in the calculus of variations. I. Zbl 0409.49006Giaquinta, M.; Modica, G.; Souček, Jiří 49 1979 Nonlinear elliptic systems with quadratic growth. Zbl 0378.35027Giaquinta, Mariano; Giusti, Enrico 49 1978 Almost-everywhere regularity results for solutions of nonlinear elliptic systems. Zbl 0411.35018Giaquinta, Mariano; Modica, Giuseppe 48 1979 The singular set of the minima of certain quadratic functionals. Zbl 0543.49018Giaquinta, Mariano; Giusti, Enrico 47 1984 Funzioni BV e tracce. Zbl 0432.46031Anzellotti, G.; Giaquinta, M. 44 1978 An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs. Zbl 1093.35001Giaquinta, Mariano; Martinazzi, Luca 41 2005 Cartesian currents in the calculus of variations II. Variational integrals. Zbl 0914.49002Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 40 1998 Cartesian currents and variational problems for mappings into spheres. Zbl 0713.49014Giaquinta, M.; Modica, G.; Souček, J. 37 1989 Convex functionals and partial regularity. Zbl 0658.49005Anzellotti, G.; Giaquinta, M. 37 1988 On the Dirichlet problem for surfaces of prescribed mean curvature. Zbl 0276.35038Giaquinta, Mariano 36 1974 Researches on the equilibrium of masonry structures. Zbl 0656.73012Giaquinta, Mariano; Giusti, Enrico 35 1985 Global \(C^{1/\alpha}\)-regularity for second order quasilinear elliptic equations in divergence form. Zbl 0528.35014Giaquinta, M.; Giusti, E. 32 1984 Partial regularity for the solutions to nonlinear parabolic systems. Zbl 0276.35062Giaquinta, M.; Giusti, E. 32 1973 Calculus of variations 2. The Hamiltonian formalism. Zbl 0853.49002Giaquinta, Mariano; Hildebrandt, Stefan 28 1996 On the existence of the fields of stresses and displacements for an elasto-perfectly plastic body in static equilibrium. Zbl 0467.73044Anzellotti, G.; Giaquinta, M. 28 1982 A counter-example to the boundary regularity of solutions to elliptic quasilinear systems. Zbl 0373.35027Giaquinta, Mariano 28 1978 A priori estimates for harmonic mappings. Zbl 0508.58015Giaquinta, Mariano; Hildebrandt, Stefan 27 1982 The Dirichlet energy of mappings with values into the sphere. Zbl 0678.49006Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 27 1989 An optimal regularity result for a class of quasilinear parabolic systems. Zbl 0475.35026Giaquinta, Mariano; Struwe, Michael 24 1981 Variational problems for maps of bounded variation with values in \(S^ 1\). Zbl 0810.49040Giaquinta, M.; Modica, G.; Souček, J. 21 1993 Local existence for quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0655.35049Giaquinta, Mariano; Modica, Giuseppe 19 1987 Functionals with linear growth in the calculus of variations. II. Zbl 0409.49007Giaquinta, M.; Modica, G.; Souček, Jiří 18 1979 Esistenza e regolarita per il problema dell’area minima con ostacoli in n variabili. Zbl 0283.49032Giaquinta, M.; Pepe, L. 18 1971 The BV-energy of maps into a manifold: relaxation and density results. Zbl 1150.49020Giaquinta, Mariano; Mucci, Domenico 16 2006 Sharp estimates for the derivatives of local minima of variational integrals. Zbl 0543.49019Giaquinta, Mariano; Giusti, Enrico 15 1984 Regolarita Lipschitziana per la soluzione di alcuni problemi di minimo con vincolo. Zbl 0325.49009Giaquinta, M.; Modica, G. 15 1975 Multiple integrals in the calculus of variations and non linear elliptic systems. Zbl 0498.49001Giaquinta, Mariano 14 1981 Stochastic currents. Zbl 1087.60043Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M. 13 2005 Graphs of finite mass which cannot be approximated in area by smooth graphs. Zbl 0796.58006Giaquinta, M.; Modica, G.; Souček, J. 13 1993 Maps of bounded variation with values into a manifold: total variation and relaxed energy. Zbl 1347.49076Giaquinta, Mariano; Mucci, Domenico 13 2007 Remarks on the regularity of weak solutions to some variational inequalities. Zbl 0438.35019Giaquinta, Mariano 12 1981 Caccioppoli’s inequality and Legendre-Hadamard condition. Zbl 0561.35027Giaquinta, Mariano; Souček, Jiři 12 1985 Area and the area formula. Zbl 0828.49022Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 12 1992 Cartesian currents in the calculus of variations. Zbl 1006.49030Giaquinta, M. 12 1997 Regolarita delle superfici \(BV (\Omega )\) con curvatura media assegnata. Zbl 0274.35028Giaquinta, M. 11 1973 Liquid crystals: Relaxed energies, dipoles, singular lines and singular points. Zbl 0760.49026Giaquinta, M.; Modica, G.; Souček, J. 10 1990 Energy minimizing maps from a domain of \(\mathbb{R}^3\) into \(S^2\). Zbl 0910.49026Giaquinta, M.; Modica, G.; Souček, J. 10 1998 The Dirichlet integral for mappings between manifolds: Cartesian currents and homology. Zbl 0762.49018Giaquinta, M.; Modica, G.; Souček, J. 9 1992 Harmonic maps into a hemisphere. Zbl 0599.58017Giaquinta, M.; Souček, J. 8 1985 Mathematical analysis. An introduction to functions of several variables. Zbl 1177.26001Giaquinta, Mariano; Modica, Giuseppe 8 2009 Mathematical analysis. Foundations and advanced techniques for functions of several variables. Zbl 1236.26001Giaquinta, Mariano; Modica, Giuseppe 8 2012 On sequences of maps into a manifold with equibounded \(W^{1/2}\)-energies. Zbl 1084.46024Giaquinta, M.; Mucci, D. 7 2005 Erratum and addendum to “Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity”. Zbl 0712.73009Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 7 1990 Hilbert and the calculus of variations. (Hilbert e il calcolo delle variazioni.) Zbl 1195.49003Giaquinta, Mariano 6 2000 Density results for the \(W^{1/2}\) energy of maps into a manifold. Zbl 1229.58010Giaquinta, Mariano; Mucci, Domenico 6 2005 On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations. Zbl 0435.35036Giaquinta, M.; Necas, J. 6 1980 Quasiconvexity, growth conditions and partial regularity. Zbl 0658.49006Giaquinta, Mariano 6 1988 Remarks on the degree theory. Zbl 0822.55003Giaquinta, M.; Modica, G.; Souček, J. 6 1994 On sequence of maps with equibounded energies. Zbl 1013.49030Giaquinta, Mariano; Modica, Giuseppe 6 2001 The gap phenomenon for variational integrals in Sobolev spaces. Zbl 0749.58019Giaquinta, M.; Modica, G.; Souček, J. 5 1992 The Dirichlet energy of mappings from \(B^3\) into a manifold: density results and gap phenomenon. Zbl 1055.49030Giaquinta, Mariano; Mucci, Domenico 5 2004 A weak approach to finite elasticity. Zbl 0806.49007Giaquinta, M.; Modica, G.; Souček, J. 5 1994 Functionals with linear growth in the calculus of variations. I,. Zbl 0421.49010Giaquinta, M.; Modica, G.; Soucek, J. 5 1979 On the regularity of weak solutions to nonlinear elliptic systems via Liouville’s type property. Zbl 0396.35047Giaquinta, M.; Necas, J. 5 1979 Maps into manifolds and currents: area and \(W^{1,2}\)-, \(W^{1/2}\)-, \(BV\)-energies. Zbl 1111.49001Giaquinta, Mariano; Mucci, Domenico 5 2006 The relaxed Dirichlet energy of manifold constrained mappings. Zbl 1157.49043Giaquinta, Mariano; Modica, Giuseppe; Mucci, Domenico 4 2008 On sequences of maps into \(S^1\) with equibounded \(W^{1/2}\) energies. Zbl 1067.49029Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 4 2004 Mathematical analysis. Linear and metric structures and continuity. Zbl 1125.26001Giaquinta, Mariano; Modica, Giuseppe 4 2007 Ground states of simple bodies that may undergo brittle fractures. Zbl 1372.74009Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico 4 2010 Weak and strong density results for the Dirichlet energy. Zbl 1043.49040Giaquinta, Mariano; Mucci, Domenico 3 2004 The early period of the calculus of variations. Zbl 1350.01001Freguglia, Paolo; Giaquinta, Mariano 3 2016 The relaxed Dirichlet energy of mappings into a manifold. Zbl 1080.49029Giaquinta, Mariano; Mucci, Domenico 3 2005 On the self-length of two-dimensional Banach spaces. Zbl 0854.46012Chalmers, B.; Franchetti, C.; Giaquinta, M. 3 1996 Sistemi ellittici non lineari. Teoria della regolarita. Zbl 0443.35026Giaquinta, M. 3 1979 On the regularity up to the boundary for second order nonlinear elliptic systems. Zbl 0485.35020Giaquinta, M.; Nečas, Jindřich; John, Oldřich; Stará, Jana 3 1982 Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques. Zbl 0486.35030Giaquinta, M.; Hildebrandt, S. 3 1981 Direct methods for regularity in the calculus of variations. Zbl 0553.49011Giaquinta, M. 3 1984 Relaxation results for a class of functionals with linear growth defined on manifold constrained mappings. Zbl 1204.49010Giaquinta, Mariano; Mucci, Domenico 3 2008 A new approximation of relaxed energies for harmonic maps and the Faddeev model. Zbl 1221.58012Giaquinta, Mariano; Hong, Min-Chun; Yin, Hao 3 2011 Partial regularity of minimizers of a functional involving forms and maps. Zbl 1120.35037Giaquinta, Mariano; Hong, Min-Chun 3 2004 Sul problema di Dirichlet per le superfici a curvatura media assegnata. Zbl 0305.35031Giaquinta, Mariano 3 1974 Esistenza per il problema dell’area e controesempio di Bernstein. Zbl 0313.49029Giaquinta, M.; Souček, Jiří 3 1974 A variational problem in the mechanics of complex materials. Zbl 1209.49012Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe 3 2010 On differentiability of the extremals of variational integrals. Zbl 0494.49032Giaquinta, Mariano 2 1982 The regularity problem of extremals of variational integrals. Zbl 0528.49005Giaquinta, Mariano 2 1983 The problem of the regularity of minimizers. Zbl 0667.49029Giaquinta, Mariano 2 1987 Density results relative to the Dirichlet energy of mappings into a manifold. Zbl 1115.49012Giaquinta, Mariano; Mucci, Domenico 2 2006 Partial regularity for minima of variational integrals. Zbl 0637.49005Giaquinta, Mariano; Ivert, Per-Anders 2 1987 Currents and curvature varifolds in continuum mechanics. Zbl 1235.49080Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico 2 2010 Equazioni ellittiche di ordine \(2m\) di tipo Cordes. Zbl 0212.44801Giaquinta, M. 2 1971 Regularity of the minima in the calculus of variations. Zbl 0613.49015Giaquinta, M. 1 1987 Erratum and addendum to: The \(BV\)-energy of maps into a manifold: relaxation and density results. Zbl 1150.49021Giaquinta, Mariano; Mucci, Domenico 1 2007 Remarks on the lower semicontinuity of quasiconvex integrals. Zbl 0844.49011Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 1 1995 The early period of the calculus of variations. Zbl 1350.01001Freguglia, Paolo; Giaquinta, Mariano 3 2016 Stress constraints in simple bodies undergoing large strains: a variational approach. Zbl 1338.49091Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe 1 2015 An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs. 2nd ed. Zbl 1262.35001Giaquinta, Mariano; Martinazzi, Luca 154 2012 Mathematical analysis. Foundations and advanced techniques for functions of several variables. Zbl 1236.26001Giaquinta, Mariano; Modica, Giuseppe 8 2012 A new approximation of relaxed energies for harmonic maps and the Faddeev model. Zbl 1221.58012Giaquinta, Mariano; Hong, Min-Chun; Yin, Hao 3 2011 Ground states of simple bodies that may undergo brittle fractures. Zbl 1372.74009Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico 4 2010 A variational problem in the mechanics of complex materials. Zbl 1209.49012Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe 3 2010 Currents and curvature varifolds in continuum mechanics. Zbl 1235.49080Giaquinta, Mariano; Mariano, Paolo Maria; Modica, Giuseppe; Mucci, Domenico 2 2010 Mathematical analysis. An introduction to functions of several variables. Zbl 1177.26001Giaquinta, Mariano; Modica, Giuseppe 8 2009 The relaxed Dirichlet energy of manifold constrained mappings. Zbl 1157.49043Giaquinta, Mariano; Modica, Giuseppe; Mucci, Domenico 4 2008 Relaxation results for a class of functionals with linear growth defined on manifold constrained mappings. Zbl 1204.49010Giaquinta, Mariano; Mucci, Domenico 3 2008 Maps of bounded variation with values into a manifold: total variation and relaxed energy. Zbl 1347.49076Giaquinta, Mariano; Mucci, Domenico 13 2007 Mathematical analysis. Linear and metric structures and continuity. Zbl 1125.26001Giaquinta, Mariano; Modica, Giuseppe 4 2007 Erratum and addendum to: The \(BV\)-energy of maps into a manifold: relaxation and density results. Zbl 1150.49021Giaquinta, Mariano; Mucci, Domenico 1 2007 The BV-energy of maps into a manifold: relaxation and density results. Zbl 1150.49020Giaquinta, Mariano; Mucci, Domenico 16 2006 Maps into manifolds and currents: area and \(W^{1,2}\)-, \(W^{1/2}\)-, \(BV\)-energies. Zbl 1111.49001Giaquinta, Mariano; Mucci, Domenico 5 2006 Density results relative to the Dirichlet energy of mappings into a manifold. Zbl 1115.49012Giaquinta, Mariano; Mucci, Domenico 2 2006 An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs. Zbl 1093.35001Giaquinta, Mariano; Martinazzi, Luca 41 2005 Stochastic currents. Zbl 1087.60043Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M. 13 2005 On sequences of maps into a manifold with equibounded \(W^{1/2}\)-energies. Zbl 1084.46024Giaquinta, M.; Mucci, D. 7 2005 Density results for the \(W^{1/2}\) energy of maps into a manifold. Zbl 1229.58010Giaquinta, Mariano; Mucci, Domenico 6 2005 The relaxed Dirichlet energy of mappings into a manifold. Zbl 1080.49029Giaquinta, Mariano; Mucci, Domenico 3 2005 Mathematical analysis. Approximation and discrete processes. Translated and revised from the 1999 Italian original. Zbl 1068.26001Giaquinta, Mariano; Modica, Giuseppe 1 2005 The Dirichlet energy of mappings from \(B^3\) into a manifold: density results and gap phenomenon. Zbl 1055.49030Giaquinta, Mariano; Mucci, Domenico 5 2004 On sequences of maps into \(S^1\) with equibounded \(W^{1/2}\) energies. Zbl 1067.49029Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 4 2004 Weak and strong density results for the Dirichlet energy. Zbl 1043.49040Giaquinta, Mariano; Mucci, Domenico 3 2004 Partial regularity of minimizers of a functional involving forms and maps. Zbl 1120.35037Giaquinta, Mariano; Hong, Min-Chun 3 2004 On sequence of maps with equibounded energies. Zbl 1013.49030Giaquinta, Mariano; Modica, Giuseppe 6 2001 Hilbert and the calculus of variations. (Hilbert e il calcolo delle variazioni.) Zbl 1195.49003Giaquinta, Mariano 6 2000 Preface. Zbl 0924.01025Giaquinta, M.; Shatah, J.; Varadhan, S. R. S. 1 1999 Cartesian currents in the calculus of variations I. Cartesian currents. Zbl 0914.49001Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 226 1998 One-dimensional variational problems. An introduction. Zbl 0915.49001Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan 112 1998 Cartesian currents in the calculus of variations II. Variational integrals. Zbl 0914.49002Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 40 1998 Energy minimizing maps from a domain of \(\mathbb{R}^3\) into \(S^2\). Zbl 0910.49026Giaquinta, M.; Modica, G.; Souček, J. 10 1998 Cartesian currents in the calculus of variations. Zbl 1006.49030Giaquinta, M. 12 1997 Calculus of variations 1. The Lagrangian formalism. Zbl 0853.49001Giaquinta, Mariano; Hildebrandt, Stefan 75 1996 Calculus of variations 2. The Hamiltonian formalism. Zbl 0853.49002Giaquinta, Mariano; Hildebrandt, Stefan 28 1996 On the self-length of two-dimensional Banach spaces. Zbl 0854.46012Chalmers, B.; Franchetti, C.; Giaquinta, M. 3 1996 Remarks on the lower semicontinuity of quasiconvex integrals. Zbl 0844.49011Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 1 1995 Remarks on the degree theory. Zbl 0822.55003Giaquinta, M.; Modica, G.; Souček, J. 6 1994 A weak approach to finite elasticity. Zbl 0806.49007Giaquinta, M.; Modica, G.; Souček, J. 5 1994 Introduction to regularity theory for nonlinear elliptic systems. Zbl 0786.35001Giaquinta, Mariano 154 1993 Variational problems for maps of bounded variation with values in \(S^ 1\). Zbl 0810.49040Giaquinta, M.; Modica, G.; Souček, J. 21 1993 Graphs of finite mass which cannot be approximated in area by smooth graphs. Zbl 0796.58006Giaquinta, M.; Modica, G.; Souček, J. 13 1993 Area and the area formula. Zbl 0828.49022Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 12 1992 The Dirichlet integral for mappings between manifolds: Cartesian currents and homology. Zbl 0762.49018Giaquinta, M.; Modica, G.; Souček, J. 9 1992 The gap phenomenon for variational integrals in Sobolev spaces. Zbl 0749.58019Giaquinta, M.; Modica, G.; Souček, J. 5 1992 Liquid crystals: Relaxed energies, dipoles, singular lines and singular points. Zbl 0760.49026Giaquinta, M.; Modica, G.; Souček, J. 10 1990 Erratum and addendum to “Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity”. Zbl 0712.73009Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 7 1990 Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity. Zbl 0677.73014Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří 49 1989 Cartesian currents and variational problems for mappings into spheres. Zbl 0713.49014Giaquinta, M.; Modica, G.; Souček, J. 37 1989 The Dirichlet energy of mappings with values into the sphere. Zbl 0678.49006Giaquinta, 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 0658.49005Anzellotti, G.; Giaquinta, M. 37 1988 Quasiconvexity, growth conditions and partial regularity. Zbl 0658.49006Giaquinta, Mariano 6 1988 Some remarks on the regularity of minimizers. Zbl 0657.49007Giaquinta, Mariano 1 1988 Growth conditions and regularity. A counterexample. Zbl 0638.49005Giaquinta, Mariano 128 1987 Local existence for quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0655.35049Giaquinta, Mariano; Modica, Giuseppe 19 1987 The problem of the regularity of minimizers. Zbl 0667.49029Giaquinta, Mariano 2 1987 Partial regularity for minima of variational integrals. Zbl 0637.49005Giaquinta, Mariano; Ivert, Per-Anders 2 1987 Regularity of the minima in the calculus of variations. Zbl 0613.49015Giaquinta, M. 1 1987 Remarks on the regularity of the minimizers of certain degenerate functionals. Zbl 0607.49003Giaquinta, Mariano; Modica, Giuseppe 123 1986 Partial regularity of minimizers of quasiconvex integrals. Zbl 0594.49004Giaquinta, Mariano; Modica, Giuseppe 72 1986 Researches on the equilibrium of masonry structures. Zbl 0656.73012Giaquinta, Mariano; Giusti, Enrico 35 1985 Caccioppoli’s inequality and Legendre-Hadamard condition. Zbl 0561.35027Giaquinta, Mariano; Souček, Jiři 12 1985 Harmonic maps into a hemisphere. Zbl 0599.58017Giaquinta, M.; Souček, J. 8 1985 Quasi-minima. Zbl 0541.49008Giaquinta, Mariano; Giusti, Enrico 63 1984 The singular set of the minima of certain quadratic functionals. Zbl 0543.49018Giaquinta, Mariano; Giusti, Enrico 47 1984 Global \(C^{1/\alpha}\)-regularity for second order quasilinear elliptic equations in divergence form. Zbl 0528.35014Giaquinta, M.; Giusti, E. 32 1984 Sharp estimates for the derivatives of local minima of variational integrals. Zbl 0543.49019Giaquinta, Mariano; Giusti, Enrico 15 1984 Direct methods for regularity in the calculus of variations. Zbl 0553.49011Giaquinta, M. 3 1984 Multiple integrals in the calculus of variations and nonlinear elliptic systems. Zbl 0516.49003Giaquinta, Mariano 990 1983 Differentiability of minima of non-differentiable functionals. Zbl 0513.49003Giaquinta, Mariano; Giusti, Enrico 62 1983 The regularity problem of extremals of variational integrals. Zbl 0528.49005Giaquinta, Mariano 2 1983 On the regularity of the minima of variational integrals. Zbl 0494.49031Giaquinta, Mariano; Giusti, Enrico 253 1982 Non linear systems of the type of the stationary Navier-Stokes system. Zbl 0492.35018Giaquinta, M.; Modica, G. 93 1982 On the partial regularity of weak solutions on nonlinear parabolic systems. Zbl 0469.35028Giaquinta, Mariano; Struwe, Michael 92 1982 On the existence of the fields of stresses and displacements for an elasto-perfectly plastic body in static equilibrium. Zbl 0467.73044Anzellotti, G.; Giaquinta, M. 28 1982 A priori estimates for harmonic mappings. Zbl 0508.58015Giaquinta, Mariano; Hildebrandt, Stefan 27 1982 On the regularity up to the boundary for second order nonlinear elliptic systems. Zbl 0485.35020Giaquinta, M.; Nečas, Jindřich; John, Oldřich; Stará, Jana 3 1982 On differentiability of the extremals of variational integrals. Zbl 0494.49032Giaquinta, Mariano 2 1982 An optimal regularity result for a class of quasilinear parabolic systems. Zbl 0475.35026Giaquinta, Mariano; Struwe, Michael 24 1981 Multiple integrals in the calculus of variations and non linear elliptic systems. Zbl 0498.49001Giaquinta, Mariano 14 1981 Remarks on the regularity of weak solutions to some variational inequalities. Zbl 0438.35019Giaquinta, Mariano 12 1981 Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques. Zbl 0486.35030Giaquinta, 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 0465.73022Anzellotti, Gabriele; Giaquinta, Mariano 57 1980 On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations. Zbl 0435.35036Giaquinta, M.; Necas, J. 6 1980 Regularity results for some classes of higher order non linear elliptic systems. Zbl 0409.35015Giaquinta, M.; Modica, G. 145 1979 Functionals with linear growth in the calculus of variations. I. Zbl 0409.49006Giaquinta, M.; Modica, G.; Souček, Jiří 49 1979 Almost-everywhere regularity results for solutions of nonlinear elliptic systems. Zbl 0411.35018Giaquinta, Mariano; Modica, Giuseppe 48 1979 Functionals with linear growth in the calculus of variations. II. Zbl 0409.49007Giaquinta, M.; Modica, G.; Souček, Jiří 18 1979 Functionals with linear growth in the calculus of variations. I,. Zbl 0421.49010Giaquinta, M.; Modica, G.; Soucek, J. 5 1979 On the regularity of weak solutions to nonlinear elliptic systems via Liouville’s type property. Zbl 0396.35047Giaquinta, M.; Necas, J. 5 1979 Sistemi ellittici non lineari. Teoria della regolarita. Zbl 0443.35026Giaquinta, M. 3 1979 Nonlinear elliptic systems with quadratic growth. Zbl 0378.35027Giaquinta, Mariano; Giusti, Enrico 49 1978 Funzioni BV e tracce. Zbl 0432.46031Anzellotti, G.; Giaquinta, M. 44 1978 A counter-example to the boundary regularity of solutions to elliptic quasilinear systems. Zbl 0373.35027Giaquinta, Mariano 28 1978 Regolarita Lipschitziana per la soluzione di alcuni problemi di minimo con vincolo. Zbl 0325.49009Giaquinta, M.; Modica, G. 15 1975 On the Dirichlet problem for surfaces of prescribed mean curvature. Zbl 0276.35038Giaquinta, Mariano 36 1974 Sul problema di Dirichlet per le superfici a curvatura media assegnata. Zbl 0305.35031Giaquinta, Mariano 3 1974 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,266 Authors 61 Fuchs, Martin 43 Giaquinta, Mariano 34 Arkhipova, Arina A. Arkhipova 34 Mingione, Giuseppe 30 Dong, Hongjie 30 Passarelli di Napoli, Antonia 29 Leonetti, Francesco 26 Bildhauer, Michael 26 Mucci, Domenico 23 Byun, Sun-Sig 23 Duzaar, Frank 22 Bögelein, Verena 22 Fusco, Nicola 22 Modica, Giuseppe 21 Marcellini, Paolo 19 Kim, Seick 19 Scheven, Christoph 19 Tan, Zhong 18 Yao, Fengping 18 Zheng, Shenzhou 17 Bulíček, Miroslav 16 Mascolo, Elvira 16 Wang, Jialin 15 Chen, Shuhong 15 Gao, Hongya 15 Hong, Minchun 15 Kristensen, Jan 15 Soucek, Jiri 15 Tachikawa, Atsushi 14 Cupini, Giovanni 14 Frehse, Jens 14 Jost, Jürgen 14 Kinnunen, Juha 14 Verde, Anna 14 Wang, Lihe 14 Wolf, Jörg 13 Breit, Dominic 13 Carozza, Menita 13 Cianchi, Andrea 13 Fonseca, Irene 13 Giannetti, Flavia 13 Guliyev, Vagif Sabir 13 Mariano, Paolo Maria 13 Misawa, Masashi 13 Smarrazzo, Flavia 13 Stará, Jana 12 Beck, Lisa 12 Björn, Anders 12 Björn, Jana 12 Choi, Jongkeun 12 Focardi, Matteo 12 Katzourakis, Nikolaos I. 12 Le, Dung 12 Liao, Dongni 12 Sychev, Mikhail A. 12 Vespri, Vincenzo Riccardo 11 Ambrosio, Luigi 11 Anzellotti, Gabriele 11 Bousquet, Pierre 11 Rivière, Tristan 11 Struwe, Michael 11 Tesei, Alberto 10 Acerbi, Emilio 10 Brézis, Haïm 10 Chae, Dongho 10 Choe, Hi Jun 10 Daněček, Josef 10 Giusti, Enrico 10 Lieberman, Gary M. 10 Mariconda, Carlo 10 Otto, Felix 10 Parviainen, Mikko 10 Seregin, Gregory A. 10 Treu, Giulia 10 Xiao, Jie 10 Zhang, Kewei 9 Dal Maso, Gianni 9 Goodrich, Christopher S. 9 Hardt, Robert M. 9 Kinderlehrer, David 9 Leonardi, Salvatore 9 Malý, Jan 9 Marola, Niko 9 Ok, Jihoon 9 Ragusa, Maria Alessandra 9 Samko, Natasha 9 Samko, Stefan Grigor’evich 9 Sbordone, Carlo 9 Schikorra, Armin 9 Schmidt, Thomas 9 Shen, Zhongwei 8 Babadjian, Jean-François 8 Baroni, Paolo 8 Canevari, Giacomo 8 Conti, Sergio 8 DiBenedetto, Emmanuele 8 Flandoli, Franco 8 Giova, Raffaella 8 Gmeineder, Franz 8 Isobe, Takeshi ...and 2,166 more Authors all top 5 Cited in 363 Serials 188 Calculus of Variations and Partial Differential Equations 132 Archive for Rational Mechanics and Analysis 130 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 123 Journal of Differential Equations 97 Manuscripta Mathematica 96 Journal of Mathematical Analysis and Applications 90 Annali di Matematica Pura ed Applicata. Serie Quarta 70 Journal of Mathematical Sciences (New York) 65 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 63 Journal of Functional Analysis 56 Communications in Partial Differential Equations 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 37 Mathematische Zeitschrift 37 Journal de Mathématiques Pures et Appliquées. Neuvième Série 35 Transactions of the American Mathematical Society 35 SIAM Journal on Mathematical Analysis 33 Nonlinear Analysis. Theory, Methods & Applications 31 Mathematische Annalen 28 Advances in Mathematics 28 The Journal of Geometric Analysis 28 Advances in Calculus of Variations 27 Proceedings of the American Mathematical Society 26 NoDEA. Nonlinear Differential Equations and Applications 24 Communications in Mathematical Physics 24 Rendiconti del Seminario Matematico della Università di Padova 22 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 20 Journal of Mathematical Fluid Mechanics 19 Advances in Nonlinear Analysis 18 Potential Analysis 18 Journal of Inequalities and Applications 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 14 Applied Mathematics and Optimization 14 Forum Mathematicum 13 Zeitschrift für Analysis und ihre Anwendungen 13 Discrete and Continuous Dynamical Systems 13 Acta Mathematica Sinica. English Series 13 Journal of Evolution Equations 13 Communications on Pure and Applied Analysis 12 Mathematical Methods in the Applied Sciences 12 Meccanica 11 Applicable Analysis 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 11 Journal of the European Mathematical Society (JEMS) 10 Inventiones Mathematicae 10 Journal of Optimization Theory and Applications 10 Communications in Contemporary Mathematics 10 Nonlinear Analysis. Real World Applications 10 Advanced Nonlinear Studies 10 Boundary Value Problems 10 Science China. Mathematics 9 Journal of Mathematical Physics 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Revista Matemática Iberoamericana 9 Journal of Nonlinear Science 8 Journal d’Analyse Mathématique 8 Arkiv för Matematik 8 Duke Mathematical Journal 8 Journal of Elasticity 8 Journal of Mathematical Imaging and Vision 8 Journal of Convex Analysis 8 Mathematics and Mechanics of Solids 7 Journal für die Reine und Angewandte Mathematik 7 Mathematische Nachrichten 7 Numerische Mathematik 7 Siberian Mathematical Journal 7 Annals of Global Analysis and Geometry 7 Mediterranean Journal of Mathematics 7 Journal of Fixed Point Theory and Applications 7 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 7 Analysis & PDE 6 Bulletin of the Australian Mathematical Society 6 Communications on Pure and Applied Mathematics 6 Acta Mathematica 6 Archiv der Mathematik 6 Journal of Soviet Mathematics 6 Chinese Annals of Mathematics. Series B 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 Interfaces and Free Boundaries 6 Milan Journal of Mathematics 6 Multiscale Modeling & Simulation 6 Complex Variables and Elliptic Equations 6 Journal of Elliptic and Parabolic Equations 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 Continuum Mechanics and Thermodynamics 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Doklady Mathematics 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Journal of Function Spaces and Applications ...and 263 more Serials all top 5 Cited in 52 Fields 1,712 Partial differential equations (35-XX) 913 Calculus of variations and optimal control; optimization (49-XX) 283 Mechanics of deformable solids (74-XX) 270 Global analysis, analysis on manifolds (58-XX) 228 Fluid mechanics (76-XX) 224 Functional analysis (46-XX) 193 Differential geometry (53-XX) 130 Real functions (26-XX) 104 Harmonic analysis on Euclidean spaces (42-XX) 104 Operator theory (47-XX) 83 Numerical analysis (65-XX) 75 Potential theory (31-XX) 58 Probability theory and stochastic processes (60-XX) 57 Measure and integration (28-XX) 55 Functions of a complex variable (30-XX) 53 Statistical mechanics, structure of matter (82-XX) 39 Dynamical systems and ergodic theory (37-XX) 34 Information and communication theory, circuits (94-XX) 30 Ordinary differential equations (34-XX) 28 Mechanics of particles and systems (70-XX) 27 Biology and other natural sciences (92-XX) 23 Computer science (68-XX) 23 Operations research, mathematical programming (90-XX) 20 Quantum theory (81-XX) 18 Convex and discrete geometry (52-XX) 16 Several complex variables and analytic spaces (32-XX) 16 Classical thermodynamics, heat transfer (80-XX) 16 Systems theory; control (93-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Approximations and expansions (41-XX) 12 Statistics (62-XX) 12 Relativity and gravitational theory (83-XX) 11 Optics, electromagnetic theory (78-XX) 10 History and biography (01-XX) 9 Manifolds and cell complexes (57-XX) 8 Topological groups, Lie groups (22-XX) 8 Integral equations (45-XX) 8 Algebraic topology (55-XX) 7 Abstract harmonic analysis (43-XX) 7 General topology (54-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Difference and functional equations (39-XX) 6 Geometry (51-XX) 5 Geophysics (86-XX) 4 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Special functions (33-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-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. Updates and corrections should be made in Wikidata.