Edit Profile (opens in new tab) Nesi, Vincenzo Co-Author Distance Author ID: nesi.vincenzo Published as: Nesi, Vincenzo; Nesi, V. External Links: MGP Documents Indexed: 41 Publications since 1988, including 1 Additional arXiv Preprint Co-Authors: 19 Co-Authors with 33 Joint Publications 565 Co-Co-Authors all top 5 Co-Authors 8 single-authored 13 Alessandrini, Giovanni 3 Albin, Nathan 3 Briane, Marc 3 Milton, Graeme Walter 3 Willis, John Raymond 2 Garroni, Adriana 2 Palombaro, Mariapia 2 Ponsiglione, Marcello 2 Talbot, D. R. S. 1 Astala, Kari 1 Bauman, Patricia E. 1 Bocea, Marian F. 1 Cherkaev, Andrej V. 1 Conti, Sergio 1 Dell’Antonio, Gian Fausto 1 Leonetti, Francesco 1 Marini, Antonella 1 Rogora, Enrico 1 Smyshlyaev, Valery P. all top 5 Serials 4 Archive for Rational Mechanics and Analysis 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Journal of the Mechanics and Physics of Solids 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Mathematical Physics 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 IMA Journal of Applied Mathematics 1 Journal d’Analyse Mathématique 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Functiones et Approximatio. Commentarii Mathematici 1 Indiana University Mathematics Journal 1 Le Matematiche 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Discrete and Continuous Dynamical Systems. Series B 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie all top 5 Fields 22 Partial differential equations (35-XX) 18 Mechanics of deformable solids (74-XX) 15 Functions of a complex variable (30-XX) 6 Potential theory (31-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 3 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 322 times in 190 Documents Cited by ▼ Year ▼ Univalent \(\sigma\)-harmonic mappings. Zbl 0977.31006 Alessandrini, Giovanni; Nesi, Vincenzo 43 2001 Dielectric breakdown: optimal bounds. Zbl 0993.78015 Garroni, A.; Nesi, V.; Ponsiglione, M. 31 2001 Univalent solutions of an elliptic system of partial differential equations arising in homogenization. Zbl 1330.35121 Bauman, Patricia; Marini, Antonella; Nesi, Vincenzo 28 2001 \(\Gamma\)-convergence of power-law functionals, variational principles in \(L^{\infty},\) and applications. Zbl 1166.35300 Bocea, Marian; Nesi, Vincenzo 19 2008 Invertible harmonic mappings, beyond Kneser. Zbl 1182.31002 Alessandrini, Giovanni; Nesi, Vincenzo 17 2009 Change of sign of the corrector’s determinant for homogenization in three-dimensional conductivity. Zbl 1118.78009 Briane, Marc; Milton, Graeme W.; Nesi, Vincenzo 17 2004 Quasiconformal solutions to certain first order systems and the proof of a conjecture of G. W. Milton. Zbl 0869.35019 Leonetti, F.; Nesi, V. 17 1997 Bounds on the effective conductivity of two-dimensional composites made of \(n\geqq 3\) isotropic phases in prescribed volume fraction: The weighted translation method. Zbl 0852.35016 Nesi, V. 16 1995 Polycrystalline configurations that maximize electrical resistivity. Zbl 0734.73068 Nesi, Vincenzo; Milton, Graeme W. 16 1991 Composites and quasiconformal mappings: new optimal bounds in two dimensions. Zbl 1106.74052 Astala, Kari; Nesi, Vincenzo 13 2003 Beltrami operators, non-symmetric elliptic equations and quantitative Jacobian bounds. Zbl 1177.30019 Alessandrini, Giovanni; Nesi, Vincenzo 12 2009 Improved bounds for the yield stress of a model polycrystalline material. Zbl 0963.74006 Nesi, V.; Smyshlyaev, V. P.; Willis, J. R. 11 2000 Quantitative estimates on Jacobians for hybrid inverse problems. Zbl 1341.31005 Alessandrini, G.; Nesi, V. 10 2015 Rigidity and lack of rigidity for solenoidal matrix fields. Zbl 1108.74050 Garroni, A.; Nesi, V. 8 2004 Using quasiconvex functionals to bound the effective conductivity of composite materials. Zbl 0791.49042 Nesi, V. 7 1993 Elliptic systems and material interpenetration. Zbl 1195.31002 Alessandrini, Giovanni; Nesi, Vincenzo 6 2009 Univalent \(\sigma \)-harmonic mappings: connections with quasiconformal mappings. Zbl 1173.30310 Alessandrini, Giovanni; Nesi, Vincenzo 6 2003 Multiphase laminates of extremal effective conductivity in two dimensions. Zbl 1171.74039 Albin, Nathan; Cherkaev, Andrej; Nesi, Vincenzo 6 2007 Optimal \(G\)-closure bounds via stability under lamination. Zbl 0941.74012 Milton, G. W.; Nesi, V. 5 1999 Univalent \(\sigma\)-harmonic mappings: Applications to composites. Zbl 1024.30010 Alessandrini, Giovanni; Nesi, Vincenzo 5 2002 Translation and related bounds for the response of a nonlinear composite conductor. Zbl 0940.74047 Nesi, V.; Talbot, D. R. S.; Willis, J. R. 4 1999 Quasiconformal mappings as a tool to study certain two-dimensional \(G\)-closure problems. Zbl 0854.30015 Nesi, V. 4 1996 Multiphase interchange inequalities. Zbl 0807.73040 Nesi, V. 3 1991 Gradient integrability and rigidity results for two-phase conductivities in two dimensions. Zbl 1298.30018 Nesi, Vincenzo; Palombaro, Mariapia; Ponsiglione, Marcello 3 2014 On improving the Hashin-Shtrikman bounds for the effective properties of three-phase composite media. Zbl 0832.73039 Talbot, D. R. S.; Willis, J. R.; Nesi, V. 2 1995 Is it wise to keep laminating? Zbl 1072.74057 Briane, Marc; Nesi, Vincenzo 2 2004 Errata corrige: Invertible harmonic mappings, beyond Kneser. Zbl 1453.31007 Alessandrini, Giovanni; Nesi, Vincenzo 2 2017 Estimates for the dilatation of \(\sigma\)-harmonic mappings. Zbl 1322.30006 Alessandrini, Giovanni; Nesi, Vincenzo 2 2014 Locally invertible \(\sigma\)–harmonic mappings. Zbl 1414.30025 Alessandrini, Giovanni; Nesi, Vincenzo 2 2018 Improved bounds for composites and rigidity of gradient fields. Zbl 1129.74038 Albin, Nathan; Conti, Sergio; Nesi, Vincenzo 1 2007 Area formulas for \(\sigma\)-harmonic mappings. Zbl 1047.35038 Alessandrini, Giovanni; Nesi, Vincenzo 1 2002 Distributional convergence of null Lagrangians under very mild conditions. Zbl 1149.35036 Briane, Marc; Nesi, Vincenzo 1 2007 Globally diffeomorphic \(\sigma\)-harmonic mappings. Zbl 1469.30044 Alessandrini, Giovanni; Nesi, Vincenzo 1 2021 Breaking through borders with \(\sigma \)-harmonic mappings. Zbl 1437.35344 Alessandrini, Giovanni; Nesi, Vincenzo 1 2020 Globally diffeomorphic \(\sigma\)-harmonic mappings. Zbl 1469.30044 Alessandrini, Giovanni; Nesi, Vincenzo 1 2021 Breaking through borders with \(\sigma \)-harmonic mappings. Zbl 1437.35344 Alessandrini, Giovanni; Nesi, Vincenzo 1 2020 Locally invertible \(\sigma\)–harmonic mappings. Zbl 1414.30025 Alessandrini, Giovanni; Nesi, Vincenzo 2 2018 Errata corrige: Invertible harmonic mappings, beyond Kneser. Zbl 1453.31007 Alessandrini, Giovanni; Nesi, Vincenzo 2 2017 Quantitative estimates on Jacobians for hybrid inverse problems. Zbl 1341.31005 Alessandrini, G.; Nesi, V. 10 2015 Gradient integrability and rigidity results for two-phase conductivities in two dimensions. Zbl 1298.30018 Nesi, Vincenzo; Palombaro, Mariapia; Ponsiglione, Marcello 3 2014 Estimates for the dilatation of \(\sigma\)-harmonic mappings. Zbl 1322.30006 Alessandrini, Giovanni; Nesi, Vincenzo 2 2014 Invertible harmonic mappings, beyond Kneser. Zbl 1182.31002 Alessandrini, Giovanni; Nesi, Vincenzo 17 2009 Beltrami operators, non-symmetric elliptic equations and quantitative Jacobian bounds. Zbl 1177.30019 Alessandrini, Giovanni; Nesi, Vincenzo 12 2009 Elliptic systems and material interpenetration. Zbl 1195.31002 Alessandrini, Giovanni; Nesi, Vincenzo 6 2009 \(\Gamma\)-convergence of power-law functionals, variational principles in \(L^{\infty},\) and applications. Zbl 1166.35300 Bocea, Marian; Nesi, Vincenzo 19 2008 Multiphase laminates of extremal effective conductivity in two dimensions. Zbl 1171.74039 Albin, Nathan; Cherkaev, Andrej; Nesi, Vincenzo 6 2007 Improved bounds for composites and rigidity of gradient fields. Zbl 1129.74038 Albin, Nathan; Conti, Sergio; Nesi, Vincenzo 1 2007 Distributional convergence of null Lagrangians under very mild conditions. Zbl 1149.35036 Briane, Marc; Nesi, Vincenzo 1 2007 Change of sign of the corrector’s determinant for homogenization in three-dimensional conductivity. Zbl 1118.78009 Briane, Marc; Milton, Graeme W.; Nesi, Vincenzo 17 2004 Rigidity and lack of rigidity for solenoidal matrix fields. Zbl 1108.74050 Garroni, A.; Nesi, V. 8 2004 Is it wise to keep laminating? Zbl 1072.74057 Briane, Marc; Nesi, Vincenzo 2 2004 Composites and quasiconformal mappings: new optimal bounds in two dimensions. Zbl 1106.74052 Astala, Kari; Nesi, Vincenzo 13 2003 Univalent \(\sigma \)-harmonic mappings: connections with quasiconformal mappings. Zbl 1173.30310 Alessandrini, Giovanni; Nesi, Vincenzo 6 2003 Univalent \(\sigma\)-harmonic mappings: Applications to composites. Zbl 1024.30010 Alessandrini, Giovanni; Nesi, Vincenzo 5 2002 Area formulas for \(\sigma\)-harmonic mappings. Zbl 1047.35038 Alessandrini, Giovanni; Nesi, Vincenzo 1 2002 Univalent \(\sigma\)-harmonic mappings. Zbl 0977.31006 Alessandrini, Giovanni; Nesi, Vincenzo 43 2001 Dielectric breakdown: optimal bounds. Zbl 0993.78015 Garroni, A.; Nesi, V.; Ponsiglione, M. 31 2001 Univalent solutions of an elliptic system of partial differential equations arising in homogenization. Zbl 1330.35121 Bauman, Patricia; Marini, Antonella; Nesi, Vincenzo 28 2001 Improved bounds for the yield stress of a model polycrystalline material. Zbl 0963.74006 Nesi, V.; Smyshlyaev, V. P.; Willis, J. R. 11 2000 Optimal \(G\)-closure bounds via stability under lamination. Zbl 0941.74012 Milton, G. W.; Nesi, V. 5 1999 Translation and related bounds for the response of a nonlinear composite conductor. Zbl 0940.74047 Nesi, V.; Talbot, D. R. S.; Willis, J. R. 4 1999 Quasiconformal solutions to certain first order systems and the proof of a conjecture of G. W. Milton. Zbl 0869.35019 Leonetti, F.; Nesi, V. 17 1997 Quasiconformal mappings as a tool to study certain two-dimensional \(G\)-closure problems. Zbl 0854.30015 Nesi, V. 4 1996 Bounds on the effective conductivity of two-dimensional composites made of \(n\geqq 3\) isotropic phases in prescribed volume fraction: The weighted translation method. Zbl 0852.35016 Nesi, V. 16 1995 On improving the Hashin-Shtrikman bounds for the effective properties of three-phase composite media. Zbl 0832.73039 Talbot, D. R. S.; Willis, J. R.; Nesi, V. 2 1995 Using quasiconvex functionals to bound the effective conductivity of composite materials. Zbl 0791.49042 Nesi, V. 7 1993 Polycrystalline configurations that maximize electrical resistivity. Zbl 0734.73068 Nesi, Vincenzo; Milton, Graeme W. 16 1991 Multiphase interchange inequalities. Zbl 0807.73040 Nesi, V. 3 1991 all cited Publications top 5 cited Publications all top 5 Cited by 223 Authors 15 Nesi, Vincenzo 11 Onninen, Jani 10 Briane, Marc 10 Iwaniec, Tadeusz 9 Katzourakis, Nikolaos I. 9 Milton, Graeme Walter 8 Prinari, Francesca 7 Alessandrini, Giovanni 7 Ponte Castañeda, Pedro 5 Alberti, Giovanni S. 5 Astala, Kari 5 Capdeboscq, Yves 5 Kalaj, David 4 Cherkaev, Andrej V. 4 Faraco, Daniel 4 Koski, Aleksis 4 Kovalev, Leonid V. 4 Palombaro, Mariapia 4 Rüland, Angkana 3 Bal, Guillaume 3 Bocea, Marian F. 3 Clop, Albert 3 Conti, Sergio 3 Jääskeläinen, Jarmo 3 Knudsen, Kim M. 3 Mihăilescu, Mihai 3 Müller, Stefan 3 Ponsiglione, Marcello 3 Prause, István 3 Roy, Souvik 3 Saksman, Eero 3 Sbordone, Carlo 3 Smyshlyaev, Valery P. 3 Székelyhidi, László jun. 3 Uriarte-Tuero, Ignacio 3 Zaitsev, A. B. 3 Zappale, Elvira 2 Adesokan, Bolaji James 2 Albin, Nathan 2 Ayanbayev, Birzhan 2 Bagapsh, Astamur Olegovich 2 Barbarosie, Cristian 2 Bezrodnykh, Sergeĭ I. 2 Bhattacharya, Kaushik 2 Di Cristo, Michele 2 Freĭdin, Aleksandr Borisovich 2 Idiart, Martín I. 2 Kreisbeck, Carolin 2 Ortiz, Michael 2 Owhadi, Houman 2 Pryer, Tristan 2 Suquet, Pierre-Marie 2 Tribuzio, Antonio 2 Vlasov, Vladimir Ivanovich 2 Zegeling, Paul Andries 2 Zhang, Kewei 1 Abdullayev, Farhod 1 Adamowicz, Tomasz 1 Alberico, Angela 1 Alberico, Teresa 1 Alvino, Angelo 1 Ammari, Habib 1 Ansini, Nadia 1 Antimonov, Mikhail A. 1 Arroyo-Rabasa, Adolfo 1 Babadjian, Jean-François 1 Bacroix, Brigitte 1 Baernstein, Albert II 1 Barchiesi, Marco 1 Bardsley, Patrick 1 Berlyand, Leonid V. 1 Bianchini, Chiara 1 Bisegna, Paolo 1 Bonnetier, Eric 1 Borzì, Alfio 1 Bouvier, Salima 1 Boyle, Jonathan W. 1 Božin, Vladimir 1 Brander, Tommi 1 Brenner, Renald 1 Briani, Luca 1 Briggs, Nathan 1 Buttazzo, Giuseppe 1 Casado-Díaz, Juan 1 Chambolle, Antonin 1 Champion, Thierry 1 Chen, Shaolin 1 Chen, Yue 1 Cherednichenko, Kirill D. 1 Choquet, Catherine 1 Choulli, Mourad 1 Cianchi, Andrea 1 Ciraolo, Giulio 1 Clark, Ed 1 Courdurier, Matias 1 Court, Sébastien 1 Crasta, Graziano 1 Dai, Tianrui 1 Davini, Andrea 1 De Pascale, Luigi ...and 123 more Authors all top 5 Cited in 78 Serials 20 Archive for Rational Mechanics and Analysis 12 Journal of the Mechanics and Physics of Solids 9 Calculus of Variations and Partial Differential Equations 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Inverse Problems 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Journal d’Analyse Mathématique 4 Journal of Mathematical Analysis and Applications 4 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Acta Mechanica 3 Applied Mathematics and Optimization 3 The Journal of Geometric Analysis 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 International Journal of Engineering Science 2 Mathematical Methods in the Applied Sciences 2 Acta Mathematica 2 Duke Mathematical Journal 2 Journal of Differential Equations 2 Mathematische Annalen 2 Transactions of the American Mathematical Society 2 Computational Mathematics and Mathematical Physics 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Journal of Mathematical Sciences (New York) 2 Vietnam Journal of Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Inverse Problems and Imaging 2 Analysis and Mathematical Physics 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Nonlinearity 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Quarterly of Applied Mathematics 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Advances in Applied Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Applicandae Mathematicae 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Computational Geometry 1 Applications of Mathematics 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Imaging and Vision 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Russian Mathematics 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Conformal Geometry and Dynamics 1 Journal of Inequalities and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. A. Solids 1 Journal of the European Mathematical Society (JEMS) 1 Nonlinear Analysis. Real World Applications 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Function Spaces and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Complex Variables and Elliptic Equations 1 SIAM Journal on Imaging Sciences 1 Advances in Calculus of Variations 1 Journal de l’École Polytechnique – Mathématiques 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Cited in 30 Fields 100 Partial differential equations (35-XX) 50 Mechanics of deformable solids (74-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 36 Functions of a complex variable (30-XX) 20 Optics, electromagnetic theory (78-XX) 18 Potential theory (31-XX) 16 Numerical analysis (65-XX) 9 Real functions (26-XX) 9 Operator theory (47-XX) 9 Biology and other natural sciences (92-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Fluid mechanics (76-XX) 7 Functional analysis (46-XX) 5 Convex and discrete geometry (52-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year