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## Longinetti, Marco

Compute Distance To:
 Author ID: longinetti.marco Published as: Longinetti, M.; Longinetti, Marco
 Documents Indexed: 29 Publications since 1980
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#### Co-Authors

 10 single-authored 8 Venturi, Adriana 7 Manselli, Paolo 4 Sgheri, Luca 2 Gronchi, Paolo 2 Parigi, Giacomo 2 Salani, Paolo 1 Bianchi, Gabriele 1 Bianchini, Chiara 1 Chiti, Giuseppe 1 Dulio, Paolo 1 Gardner, Richard J. 1 Kawohl, Bernd 1 Lombardi, Nico 1 Luchinat, Claudio 1 Peri, Carla 1 Sottile, Frank
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#### Serials

 5 Applicable Analysis 3 Inverse Problems 3 Discrete & Computational Geometry 2 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Advances in Applied Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 Journal of Applied Mathematics 1 Bollettino della Unione Matematica Italiana. Series V. A
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#### Fields

 15 Convex and discrete geometry (52-XX) 8 Partial differential equations (35-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Differential geometry (53-XX) 5 Biology and other natural sciences (92-XX) 4 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 3 Geometry (51-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Numerical analysis (65-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 Statistics (62-XX)

#### Citations contained in zbMATH Open

23 Publications have been cited 149 times in 91 Documents Cited by Year
Quasiconcave solutions to elliptic problems in convex rings. Zbl 1179.35103
Bianchini, Chiara; Longinetti, Marco; Salani, Paolo
2009
On minimal surfaces bounded by two convex curves in parallel planes. Zbl 0626.53002
Longinetti, Marco
1987
On the convexity of level curves of harmonic functions. Zbl 0525.35013
Longinetti, Marco
1983
On the Hessian matrix and Minkowski addition of quasiconvex functions. Zbl 1144.26017
Longinetti, Marco; Salani, Paolo
2007
Reconstructing plane sets from projections. Zbl 0703.52002
Bianchi, G.; Longinetti, M.
1990
On steepest descent curves for quasi convex families in $$\mathbb R^n$$. Zbl 1318.52004
Longinetti, Marco; Manselli, Paolo; Venturi, Adriana
2015
Some isoperimetric inequalities for the level curves of capacity and Green’s functions on convex plane domains. Zbl 0647.31001
Longinetti, Marco
1988
An isoperimetric inequality for convex polygons and convex sets with the same symmetrals. Zbl 0579.52007
Longinetti, Marco
1986
Affinely regular polygons as extremals of area functionals. Zbl 1155.52001
Gronchi, Paolo; Longinetti, Marco
2008
A maximum principle for the starshape of solutions of nonlinear Poisson equations. Zbl 0566.35050
Longinetti, Marco
1985
Some questions of stability in the reconstruction of plane convex bodies from projections. Zbl 0597.52001
Longinetti, Marco
1985
Convex hulls of orbits and orientations of a moving protein domain. Zbl 1194.92027
Longinetti, Marco; Sgheri, Luca; Sottile, Frank
2010
Sharp affine stability estimates for Hammer’s problem. Zbl 1147.52004
Dulio, Paolo; Longinetti, Marco; Peri, Carla; Venturi, Adriana
2008
Reconstruction of orientations of a moving protein domain from paramagnetic data. Zbl 1065.62201
Gardner, Richard J.; Longinetti, Marco; Sgheri, Luca
2005
Differential inequalities for Minkowski functionals of level sets. Zbl 0764.53005
Chiti, Giuseppe; Longinetti, Marco
1992
Plane $$R$$-curves and their steepest descent properties. I. Zbl 1431.49052
Longinetti, Marco; Manselli, P.; Venturi, A.
2019
On variational problems related to steepest descent curves and self-dual convex sets on the sphere. Zbl 1309.52005
Longinetti, Marco; Manselli, Paolo; Venturi, Adriana
2015
Efficient determination of the most favoured orientations of protein domains from paramagnetic NMR data. Zbl 1095.92033
Longinetti, Marco; Luchinat, Claudio; Parigi, Giacomo; Sgheri, Luca
2006
Uniqueness and degeneracy in the localization of rigid structural elements in paramagnetic proteins. Zbl 1045.92004
Longinetti, Marco; Parigi, Giacomo; Sgheri, Luca
2002
A maximum property of affinely regular polygons. Zbl 0613.52001
Longinetti, Marco
1985
Affinely regular polygons as extremals of area functionals. Zbl 1177.52005
Gronchi, Paolo; Longinetti, Marco
2009
On radial symmetry and uniqueness of positive solutions of a degenerate elliptic eigenvalue problem. Zbl 0663.35056
Kawohl, B.; Longinetti, M.
1988
Some isoperimetric inequalities for the level curves of capacity and Green’s functions on convex plane domains. Zbl 0661.35034
Longinetti, Marco
1988
Plane $$R$$-curves and their steepest descent properties. I. Zbl 1431.49052
Longinetti, Marco; Manselli, P.; Venturi, A.
2019
On steepest descent curves for quasi convex families in $$\mathbb R^n$$. Zbl 1318.52004
Longinetti, Marco; Manselli, Paolo; Venturi, Adriana
2015
On variational problems related to steepest descent curves and self-dual convex sets on the sphere. Zbl 1309.52005
Longinetti, Marco; Manselli, Paolo; Venturi, Adriana
2015
Convex hulls of orbits and orientations of a moving protein domain. Zbl 1194.92027
Longinetti, Marco; Sgheri, Luca; Sottile, Frank
2010
Quasiconcave solutions to elliptic problems in convex rings. Zbl 1179.35103
Bianchini, Chiara; Longinetti, Marco; Salani, Paolo
2009
Affinely regular polygons as extremals of area functionals. Zbl 1177.52005
Gronchi, Paolo; Longinetti, Marco
2009
Affinely regular polygons as extremals of area functionals. Zbl 1155.52001
Gronchi, Paolo; Longinetti, Marco
2008
Sharp affine stability estimates for Hammer’s problem. Zbl 1147.52004
Dulio, Paolo; Longinetti, Marco; Peri, Carla; Venturi, Adriana
2008
On the Hessian matrix and Minkowski addition of quasiconvex functions. Zbl 1144.26017
Longinetti, Marco; Salani, Paolo
2007
Efficient determination of the most favoured orientations of protein domains from paramagnetic NMR data. Zbl 1095.92033
Longinetti, Marco; Luchinat, Claudio; Parigi, Giacomo; Sgheri, Luca
2006
Reconstruction of orientations of a moving protein domain from paramagnetic data. Zbl 1065.62201
Gardner, Richard J.; Longinetti, Marco; Sgheri, Luca
2005
Uniqueness and degeneracy in the localization of rigid structural elements in paramagnetic proteins. Zbl 1045.92004
Longinetti, Marco; Parigi, Giacomo; Sgheri, Luca
2002
Differential inequalities for Minkowski functionals of level sets. Zbl 0764.53005
Chiti, Giuseppe; Longinetti, Marco
1992
Reconstructing plane sets from projections. Zbl 0703.52002
Bianchi, G.; Longinetti, M.
1990
Some isoperimetric inequalities for the level curves of capacity and Green’s functions on convex plane domains. Zbl 0647.31001
Longinetti, Marco
1988
On radial symmetry and uniqueness of positive solutions of a degenerate elliptic eigenvalue problem. Zbl 0663.35056
Kawohl, B.; Longinetti, M.
1988
Some isoperimetric inequalities for the level curves of capacity and Green’s functions on convex plane domains. Zbl 0661.35034
Longinetti, Marco
1988
On minimal surfaces bounded by two convex curves in parallel planes. Zbl 0626.53002
Longinetti, Marco
1987
An isoperimetric inequality for convex polygons and convex sets with the same symmetrals. Zbl 0579.52007
Longinetti, Marco
1986
A maximum principle for the starshape of solutions of nonlinear Poisson equations. Zbl 0566.35050
Longinetti, Marco
1985
Some questions of stability in the reconstruction of plane convex bodies from projections. Zbl 0597.52001
Longinetti, Marco
1985
A maximum property of affinely regular polygons. Zbl 0613.52001
Longinetti, Marco
1985
On the convexity of level curves of harmonic functions. Zbl 0525.35013
Longinetti, Marco
1983
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#### Cited by 119 Authors

 13 Longinetti, Marco 9 Salani, Paolo 7 Venturi, Adriana 6 Chen, ChuanQiang 6 Ma, Xi-Nan 6 Manselli, Paolo 6 Wang, Peihe 4 Bianchi, Gabriele 4 Daniilidis, Aris 4 Zhang, Wei 3 Bianchini, Chiara 3 Durand-Cartagena, Estibalitz 3 Gardner, Richard J. 3 Greco, Antonio 3 Ishige, Kazuhiro 3 Shi, Shujun 2 Deville, Robert 2 Dulio, Paolo 2 Francini, Elisa 2 Gritzmann, Peter 2 Klain, Daniel A. 2 Lángi, Zsolt 2 Ou, Qianzhong 2 Peri, Carla 2 Sgheri, Luca 2 Sottile, Frank 2 Trombetti, Cristina 2 Xiao, Jie 1 Alessandrini, Giovanni 1 Alpers, Andreas 1 Arango, Jaime 1 Barcucci, Elena 1 Bobkov, Sergey Germanovich 1 Borcea, Ciprian S. 1 Brandolini, Barbara 1 Brunetti, Sara 1 Ciraolo, Giulio 1 Clarelli, Fabrizio 1 Colesanti, Andrea 1 Craizer, Marcos 1 da Silva, Moacyr A. H. B. 1 David, Guy 1 Del Lungo, Alberto 1 Drusvyatskiy, Dmitriy 1 Enciso, Alberto 1 Esposito, Luca 1 Feng, Haiyu 1 Fishburn, Peter Clingerman 1 Fragalà, Ilaria 1 Fusco, Nicola 1 Gallagher, Anne-Katrin 1 Ghilli, Daria 1 Gómez, Adriana 1 Gronchi, Paolo 1 Hajdu, Lajos 1 Hansen, Gerd 1 Herburt, Irmina 1 Horváth, Ákos G. 1 Hu, Bowen 1 Huck, Christian 1 Hynd, Ryan 1 Jiménez, Juan Manuel Carballo 1 Jost, Jürgen 1 Kovalev, Leonid V. 1 Larman, David G. 1 Laurence, Peter 1 Lebl, Jiří 1 Lemenant, Antoine 1 Lindgren, Erik 1 Liu, Xiao 1 Liu, Zhonghua 1 Lombardi, Nico 1 Lopez, Mario Alberto 1 Lutwak, Erwin 1 Martini, Helmut 1 Matoušek, Jiří 1 Moszyńska, Maria 1 Nakagawa, Kazushige 1 Naldi, Simone 1 Nitsch, Carlo 1 Nivat, Maurice 1 Ohta, Shin-ichi 1 Parrilo, Pablo A. 1 Peralta-Salas, Daniel 1 Pinzani, Renzo 1 Porru, Giovanni 1 Prangenberg, D. 1 Přívětivý, Aleš 1 Ragnedda, Francesco 1 Ramachandran, Krishna K. 1 Reisner, Shlomo 1 Rifford, Ludovic 1 Sanyal, Raman 1 Saunderson, James 1 Schwander, Peter 1 Shepp, Lawrence Alan 1 Škovroň, Petr 1 Steinerberger, Stefan 1 Streinu, Ileana 1 Sturmfels, Bernd ...and 19 more Authors
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#### Cited in 52 Serials

 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Discrete & Computational Geometry 5 Applicable Analysis 3 Journal of Mathematical Analysis and Applications 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Differential Equations 3 Mathematische Nachrichten 3 Advances in Applied Mathematics 3 The Journal of Geometric Analysis 2 Discrete Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Archiv der Mathematik 2 Journal of Optimization Theory and Applications 2 Mathematische Annalen 2 Pacific Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Aequationes Mathematicae 2 Discrete and Continuous Dynamical Systems 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Inverse Problems 1 Israel Journal of Mathematics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 International Journal of Computational Geometry & Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 SIAM Journal on Optimization 1 Journal of Mathematical Imaging and Vision 1 Calculus of Variations and Partial Differential Equations 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Frontiers of Mathematics in China 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Communications in Mathematics and Statistics
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#### Cited in 31 Fields

 42 Partial differential equations (35-XX) 37 Convex and discrete geometry (52-XX) 13 Differential geometry (53-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Potential theory (31-XX) 7 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Biology and other natural sciences (92-XX) 4 Numerical analysis (65-XX) 4 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 3 Geometry (51-XX) 3 Operations research, mathematical programming (90-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)