Edit Profile (opens in new tab) Rigoli, Marco Compute Distance To: Compute Author ID: rigoli.marco Published as: Rigoli, Marco; Rigoli, M. Documents Indexed: 137 Publications since 1983, including 6 Books Co-Authors: 43 Co-Authors with 132 Joint Publications 439 Co-Co-Authors all top 5 Co-Authors 5 single-authored 30 Setti, Alberto G. 19 Mari, Luciano 18 Pigola, Stefano 15 Alías, Luis J. 12 Jensen, Gary R. 12 Salvatori, Maura 12 Vignati, Marco 10 Mastrolia, Paolo 10 Ratto, Andrea 8 Bianchini, Bruno 8 Pucci, Patrizia 7 Colombo, Giulio 6 Impera, Debora 5 Albanese, Guglielmo 5 Filippucci, Roberta 5 Véron, Laurent 4 Brandolini, Luca 4 Magliaro, Marco 4 Monticelli, Dario Daniele 4 Pelegrín, José A. S. 3 Catino, Giovanni 3 de Lira, Jorge Herbert Soares 3 Salavessa, Isabel M. C. 3 Tribuzy, Renato 2 Cánovas, Verónica L. 2 Ezin, Jean-Pierre 2 Ferreira, Maria João 2 García-Martínez, S. Carolina 2 Bessa, Gregório Pacelli 2 Pessoa, Leandro F. 2 Rimoldi, Michele 2 Travaglini, Giancarlo 1 Anselli, Andrea 1 Bolton, John 1 Dajczer, Marcos 1 García-Martínez, Sandra C. 1 Marini, Ludovico 1 Miranda, Juliana F. R. 1 Scoleri, Simona 1 Serrin, James 1 Woodward, Lyndon M. 1 Yang, Kichoon 1 Zamperlin, Silvia all top 5 Serials 11 Journal of Functional Analysis 9 Transactions of the American Mathematical Society 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Revista Matemática Iberoamericana 6 Journal of Differential Equations 5 Mathematische Zeitschrift 5 Pacific Journal of Mathematics 5 Proceedings of the American Mathematical Society 4 Journal of Mathematical Analysis and Applications 3 Israel Journal of Mathematics 3 Annals of Global Analysis and Geometry 3 Communications in Contemporary Mathematics 2 Archive for Rational Mechanics and Analysis 2 General Relativity and Gravitation 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Duke Mathematical Journal 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 2 Tohoku Mathematical Journal. Second Series 2 The Journal of Geometric Analysis 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Communications in Analysis and Geometry 2 Matemática Contemporânea 2 Milan Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Progress in Mathematics 1 Bulletin of the Australian Mathematical Society 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Le Matematiche 1 Mathematika 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matematico 1 Complex Variables. Theory and Application 1 International Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Dynamic Systems and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Electronic Research Announcements of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 Revista Matemática Complutense 1 Advances in Geometry 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Nonlinear Analysis 1 Frontiers in Mathematics 1 Springer Monographs in Mathematics all top 5 Fields 97 Differential geometry (53-XX) 57 Global analysis, analysis on manifolds (58-XX) 40 Partial differential equations (35-XX) 10 Potential theory (31-XX) 7 Ordinary differential equations (34-XX) 4 Relativity and gravitational theory (83-XX) 3 Combinatorics (05-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 114 Publications have been cited 1,391 times in 844 Documents Cited by ▼ Year ▼ Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique. Zbl 1150.53001Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 109 2008 On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\). Zbl 0642.53063Bolton, John; Jensen, Gary R.; Rigoli, Marco; Woodward, Lyndon M. 99 1988 Maximum principles on Riemannian manifolds and applications. Zbl 1075.58017Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 98 2005 Ricci almost solitons. Zbl 1239.53057Pigola, Stefano; Rigoli, Marco; Rimoldi, Michele; Setti, Alberto 94 2011 Maximum principles and geometric applications. Zbl 1346.58001Alías, Luis J.; Mastrolia, Paolo; Rigoli, Marco 67 2016 A remark on the maximum principle and stochastic completeness. Zbl 1015.58007Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 54 2003 Nonlinear weighted \(p\)-Laplacian elliptic inequalities with gradient terms. Zbl 1204.35181Filippucci, Roberta; Pucci, Patrizia; Rigoli, Marco 34 2010 Liouville type theorems for \(\varphi\)-subharmonic functions. Zbl 1043.58022Rigoli, Marco; Setti, Alberto G. 32 2001 Hypersurfaces of constant higher order mean curvature in warped products. Zbl 1276.53064Alías, Luis J.; Impera, Debora; Rigoli, Marco 32 2013 Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes. Zbl 1241.53051Alías, Luis J.; Impera, Debora; Rigoli, Marco 24 2012 Yamabe-type equations on complete, noncompact manifolds. Zbl 1323.53004Mastrolia, Paolo; Rigoli, Marco; Setti, Alberto G. 23 2012 Vanishing theorems on Riemannian manifolds, and geometric applications. Zbl 1087.58022Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 23 2005 On the geometry of gradient Einstein-type manifolds. Zbl 1356.53041Catino, Giovanni; Mastrolia, Paolo; Monticelli, Dario D.; Rigoli, Marco 22 2017 Scalar curvature and conformal deformation of hyperbolic space. Zbl 0801.53026Ratto, Andrea; Rigoli, Marco; Véron, Laurent 22 1994 On some aspects of oscillation theory and geometry. Zbl 1295.34047Bianchini, Bruno; Mari, Luciano; Rigoli, Marco 21 2013 A maximum principle for hypersurfaces with constant scalar curvature and applications. Zbl 1237.53044Alías, Luis J.; García-Martínez, S. Carolina; Rigoli, Marco 20 2012 Positive solutions of Yamabe-type equations on the Heisenberg group. Zbl 0948.35027Brandolini, L.; Rigoli, M.; Setti, A. G. 20 1998 On the Omori-Yau maximum principle and its applications to differential equations and geometry. Zbl 0855.58021Ratto, Andrea; Rigoli, Marco; Setti, Alberto G. 20 1995 Volume growth, “a priori” estimates, and geometric applications. Zbl 1065.53037Pigola, S.; Rigoli, M.; Setti, A. G. 20 2003 Non-existence of entire solutions of degenerate elliptic inequalities with weights. Zbl 1151.35110Filippucci, Roberta; Pucci, Patrizia; Rigoli, Marco 19 2008 Positive solutions of Yamabe type equations on complete manifolds and applications. Zbl 0923.58049Brandolini, L.; Rigoli, M.; Setti, A. G. 19 1998 Some characterizations of space-forms. Zbl 1123.53020Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 19 2007 Average decay of Fourier transforms and geometry of convex sets. Zbl 0943.42004Brandolini, Luca; Rigoli, Marco; Travaglini, Giancarlo 17 1998 Constancy of \(p\)-harmonic maps of finite \(q\)-energy into non-positively curved manifolds. Zbl 1147.53051Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 16 2008 Nonexistence and uniqueness of positive solutions of Yamabe type equations on nonpositively curved manifolds. Zbl 0892.53019Bianchini, Bruno; Rigoli, Marco 15 1997 On weak solutions of nonlinear weighted \(p\)-Laplacian elliptic inequalities. Zbl 1165.35488Filippucci, Roberta; Pucci, Patrizia; Rigoli, Marco 15 2009 Scalar curvature and conformal deformations of noncompact Riemannian manifolds. Zbl 0899.53033Ratto, Andrea; Rigoli, Marco; Véron, Laurent 14 1997 Keller-Osserman type conditions for differential inequalities with gradient terms on the Heisenberg group. Zbl 1223.35308Magliaro, Marco; Mari, Luciano; Mastrolia, Paolo; Rigoli, Marco 14 2011 On entire solutions of degenerate elliptic differential inequalities with nonlinear gradient terms. Zbl 1172.35082Filippucci, Roberta; Pucci, Patrizia; Rigoli, Marco 14 2009 On the asymptotic behaviour of rotationally symmetric harmonic maps. Zbl 0767.34029Ratto, Andrea; Rigoli, Marco 13 1993 A Liouville-type result for quasi-linear elliptic equations on complete Riemannian manifolds. Zbl 1070.58023Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 13 2005 Qualitative properties for solutions of singular elliptic inequalities on complete manifolds. Zbl 1143.35099Pucci, Patrizia; Rigoli, Marco; Serrin, James 13 2007 Keller-Osserman conditions for diffusion-type operators on Riemannian manifolds. Zbl 1186.53051Mari, Luciano; Rigoli, Marco; Setti, Alberto G. 13 2010 Neutral surfaces in neutral four-spaces. Zbl 0757.53035Jensen, Gary R.; Rigoli, Marco 12 1990 The conformal Gauss map of submanifolds of the Möbius space. Zbl 0642.53014Rigoli, Marco 11 1987 A general form of the weak maximum principle and some applications. Zbl 1296.58009Albanese, Guglielmo; Alías, Luis J.; Rigoli, Marco 11 2013 Some remarks on the prescribed mean curvature equation on complete manifolds. Zbl 1057.53049Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 11 2002 Maximum principles and singular elliptic inequalities. Zbl 1119.35311Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 10 2002 Spectral radius, index estimates for Schrödinger operators and geometric applications. Zbl 1179.34098Bianchini, Bruno; Mari, Luciano; Rigoli, Marco 10 2009 Biharmonic hypersurfaces in complete Riemannian manifolds. Zbl 1278.53059Alías, Luis J.; García-Martínez, S. Carolina; Rigoli, Marco 10 2013 Some nonlinear function theoretic properties of Riemannian manifolds. Zbl 1112.31004Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 9 2006 Analytic and geometric properties of generic Ricci solitons. Zbl 1351.53050Catino, G.; Mastrolia, P.; Monticelli, D. D.; Rigoli, M. 8 2016 Yamabe type equations with sign-changing nonlinearities on non-compact Riemannian manifolds. Zbl 1396.58016Bianchini, Bruno; Mari, Luciano; Rigoli, Marco 8 2015 Harmonic Gauss maps. Zbl 0643.53040Jensen, Gary R.; Rigoli, Marco 8 1989 Existence and non-existence results for a logistic-type equation on manifolds. Zbl 1194.58021Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 8 2010 Subharmonic functions on graphs. Zbl 0888.31004Rigoli, Marco; Salvatori, Maura; Vignati, Marco 8 1997 Some applications of integral formulas in Riemannian geometry and PDE’s. Zbl 1097.53024Rigoli, Marco; Pigola, Stefano; Setti, Alberto G. 8 2003 Mean curvature flow solitons in the presence of conformal vector fields. Zbl 1436.53066Alías, Luis J.; de Lira, Jorge H.; Rigoli, Marco 8 2020 Gradient bounds and Liouville’s type theorems for the Poisson equation on complete Riemannian manifolds. Zbl 0847.58069Ratto, Andrea; Rigoli, Marco 7 1995 Maximum principles at infinity on Riemannian manifolds: an overview. Zbl 1145.58009Pigola, S.; Rigoli, M.; Setti, A. G. 7 2006 Lichnerowicz-type equations on complete manifolds. Zbl 1349.35372Albanese, Guglielmo; Rigoli, Marco 6 2016 Energy estimates and Liouville theorems for harmonic maps. Zbl 1110.58305Rigoli, Marco; Setti, Alberto G. 6 2000 Some geometric analysis on generic Ricci solitons. Zbl 1335.53062Mastrolia, Paolo; Rigoli, Marco; Rimoldi, Michele 6 2013 Higher order mean curvature estimates for bounded complete hypersurfaces. Zbl 1304.53050Alías, L. J.; Dajczer, M.; Rigoli, M. 6 2013 A note on \(p\)-subharmonic functions on complete manifolds. Zbl 0873.31012Rigoli, Marco; Salvatori, Maura; Vignati, Marco 6 1997 Some remarks on the weak maximum principle. Zbl 1110.58022Rigoli, Marco; Salvatori, Maura; Vignati, Marco 6 2005 Yamabe type equations with a sign-changing nonlinearity, and the prescribed curvature problem. Zbl 1337.58012Bianchini, Bruno; Mari, Luciano; Rigoli, Marco 6 2016 Conformal Ricci solitons and related integrability conditions. Zbl 1388.53029Catino, Giovanni; Mastrolia, Paolo; Monticelli, Dario D.; Rigoli, Marco 6 2016 Holomorphic curves in the complex quadric. Zbl 0604.32010Jensen, Gary R.; Rigoli, Marco; Yang, Kichoon 5 1987 The Gauss map for Kählerian submanifolds of \(\mathbb{R}{}^ n\). Zbl 0760.53004Rigoli, Marco; Tribuzy, Renato 5 1992 A note on Killing fields and CMC hypersurfaces. Zbl 1326.53080Mari, L.; Mastrolia, P.; Rigoli, M. 5 2015 Conformal immersions of complete Riemannian manifolds and extensions of the Schwarz lemma. Zbl 0813.53038Ratto, Andrea; Rigoli, Marco; Véron, Laurent 5 1994 A note on curvature of Riemannian manifolds. Zbl 1257.53057Mastrolia, Paolo; Monticelli, Dario D.; Rigoli, Marco 5 2013 Stable maximal hypersurfaces in Lorentzian spacetimes. Zbl 1404.53073Colombo, Giulio; Pelegrín, José A. S.; Rigoli, Marco 5 2019 A sharp height estimate for compact hypersurfaces with constant \(k\)-mean curvature in warped product spaces. Zbl 1316.53067García-Martínez, Sandra C.; Impera, Debora; Rigoli, Marco 4 2015 A Schwarz-type lemma for noncompact manifolds with boundary and geometric applications. Zbl 1380.53039Albanese, Guglielmo; Rigoli, Marco 4 2017 Entire solutions of singular elliptic inequalities on complete manifolds. Zbl 1148.35103Pucci, Patrizia; Rigoli, Marco 4 2008 A Liouville type theorem for a general class of operators on complete manifolds. Zbl 1043.58021Rigoli, Marco; Salvatori, Maura; Vignati, Marco 4 2000 Isometric immersions of Kähler manifolds. Zbl 0796.53064Ferreira, Maria Joáo; Rigoli, Marco; Tribuzy, Renato 4 1993 “A priori” estimates, uniqueness and existence of positive solutions of Yamabe type equations on complete manifolds. Zbl 1121.58022Rigoli, Marco; Zamperlin, Silvia 4 2007 Diffusion-type operators, Liouville theorems and gradient estimates on complete manifolds. Zbl 1193.58020Mastrolia, Paolo; Rigoli, Marco 4 2010 On a conformal Bernstein’s type property. Zbl 0667.53011Rigoli, Marco 4 1986 Trapped submanifolds contained into a null hypersurface of de Sitter spacetime. Zbl 1406.35399Alías, Luis J.; Cánovas, Verónica L.; Rigoli, Marco 4 2018 A new open form of the weak maximum principle and geometric applications. Zbl 1348.58010Alías, Luis J.; Miranda, Juliana F. R.; Rigoli, Marco 3 2016 Minimal surfaces in spheres. Zbl 0632.53055Jensen, Gary R.; Rigoli, Marco 3 1983 A rigidity result for holomorphic immersions of surfaces in \(CP^ n\). Zbl 0563.53049Rigoli, Marco 3 1985 A uniqueness result in PDE’s and parallel mean curvature immersions in Euclidean space. Zbl 0855.53024Ratto, Andrea; Rigoli, Marco; Setti, Alberto G. 3 1996 A finiteness theorem for the space of \(L^{p}\) harmonic sections. Zbl 1153.53024Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 3 2008 On the geometry of curves and conformal geodesics in the Möbius space. Zbl 1246.53011Magliaro, Marco; Mari, Luciano; Rigoli, Marco 3 2011 Volume growth and \(p\)-subharmonic functions on complete manifolds. Zbl 0897.31002Rigoli, Marco; Salvatori, Maura; Vignati, Marco 3 1998 Spacelike hypersurfaces in standard static spacetimes. Zbl 1409.53053Colombo, Giulio; Pelegrín, José A. S.; Rigoli, Marco 3 2019 Vanishing theorems, higher order mean curvatures and index estimates for self-shrinkers. Zbl 1408.53091Pacelli Bessa, Gregório; Pessoa, Leandro F.; Rigoli, Marco 3 2018 Conformal and isometric immersions of Riemannian manifolds. Zbl 0628.53024Rigoli, Marco; Salavessa, Isabel M. C. 2 1987 On immersed compact submanifolds of Euclidean space. Zbl 0653.53040Rigoli, Marco 2 1988 Weak maximum principles and geometric estimates for spacelike hypersurfaces in generalized Robertson-Walker spacetimes. Zbl 1328.53066Alías, Luis J.; Rigoli, Marco; Scoleri, Simona 2 2015 Erratum: ”Non-existence of entire solutions of degenerate elliptic inequalities with weights” [Arch. Ration. Mech. Anal. 188, No. 1, 155–179 (2008; Zbl pre05261597)]. Zbl 1132.35379Filippucci, Roberta; Pucci, Patrizia; Rigoli, Marco 2 2008 A Liouville theorem for a class of superlinear elliptic equations on cones. Zbl 1007.35025Rigoli, Marco; Setti, Alberto G. 2 2002 Erratum to “Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes”. Zbl 1272.53050Alías, Luis J.; Impera, Debora; Rigoli, Marco 2 2013 Minimal surfaces in spheres by the method of moving frames. Zbl 0706.53008Jensen, Gary R.; Rigoli, Marco 2 1988 On the existence of positive solutions of Yamabe-type equations on the Heisenberg group. Zbl 0870.35029Brandolini, L.; Rigoli, M.; Setti, A. G. 2 1996 Maps from Riemannian manifolds into non-degenerate Euclidean cones. Zbl 1205.53006Mari, Luciano; Rigoli, Marco 2 2010 Willmore submanifolds of the Möbius space and a Bernstein-type theorem. Zbl 0790.53049Rigoli, Marco; Salavessa, Isabel M. C. 2 1993 Scalar curvature and conformal deformations of noncompact Riemannian manifolds. (Courbure scalaire et déformations conformes des variétés riemanniennes non compactes.) Zbl 0798.53042Ratto, Andrea; Rigoli, Marco; Véron, Laurent 2 1994 Aspects of potential theory on manifolds, linear and non-linear. Zbl 1205.31005Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 2 2008 On the geometry of Einstein-type structures. Zbl 07310963Anselli, Andrea; Colombo, Giulio; Rigoli, Marco 2 2021 Geometric elliptic functionals and mean curvature. Zbl 1339.49038Alías, Luis J.; de Lira, Jorge H. S.; Rigoli, Marco 2 2016 Some geometric properties of hypersurfaces with constant \(r\)-mean curvature in Euclidean space. Zbl 1220.53073Impera, Debora; Mari, Luciano; Rigoli, Marco 2 2011 Codimension two spacelike submanifolds of the Lorentz-Minkowski spacetime into the light cone. Zbl 1433.53082Alías, Luis J.; Cánovas, Verónica L.; Rigoli, Marco 2 2019 Yamabe type equations with sign-changing nonlinearities on the Heisenberg group, and the role of Green functions. Zbl 1322.35143Bianchini, Bruno; Mari, Luciano; Rigoli, Marco 1 2013 On the role of gradient terms in coercive quasilinear differential inequalities on Carnot groups. Zbl 1329.35326Albanese, Guglielmo; Mari, Luciano; Rigoli, Marco 1 2015 On the geometry of Einstein-type structures. Zbl 07310963Anselli, Andrea; Colombo, Giulio; Rigoli, Marco 2 2021 Geometric analysis of quasilinear inequalities on complete manifolds. Maximum and compact support principles and detours on manifolds. Zbl 1470.58002Bianchini, Bruno; Mari, Luciano; Pucci, Patrizia; Rigoli, Marco 1 2021 Mean curvature flow solitons in the presence of conformal vector fields. Zbl 1436.53066Alías, Luis J.; de Lira, Jorge H.; Rigoli, Marco 8 2020 Remarks on mean curvature flow solitons in warped products. Zbl 1440.53105Colombo, Giulio; Mari, Luciano; Rigoli, Marco 1 2020 On the geometry of \(\varphi\)-curvatures. Zbl 07153760Marini, Ludovico; Rigoli, Marco 1 2020 Stable maximal hypersurfaces in Lorentzian spacetimes. Zbl 1404.53073Colombo, Giulio; Pelegrín, José A. S.; Rigoli, Marco 5 2019 Spacelike hypersurfaces in standard static spacetimes. Zbl 1409.53053Colombo, Giulio; Pelegrín, José A. S.; Rigoli, Marco 3 2019 Codimension two spacelike submanifolds of the Lorentz-Minkowski spacetime into the light cone. Zbl 1433.53082Alías, Luis J.; Cánovas, Verónica L.; Rigoli, Marco 2 2019 Constant mean curvature spacelike hypersurfaces in spatially Open GRW spacetimes. Zbl 1427.53093Pelegrín, José A. S.; Rigoli, Marco 1 2019 Trapped submanifolds contained into a null hypersurface of de Sitter spacetime. Zbl 1406.35399Alías, Luis J.; Cánovas, Verónica L.; Rigoli, Marco 4 2018 Vanishing theorems, higher order mean curvatures and index estimates for self-shrinkers. Zbl 1408.53091Pacelli Bessa, Gregório; Pessoa, Leandro F.; Rigoli, Marco 3 2018 On a paper of Berestycki-Hamel-Rossi and its relations to the weak maximum principle at infinity, with applications. Zbl 1393.58016Magliaro, Marco; Mari, Luciano; Rigoli, Marco 1 2018 On the geometry of gradient Einstein-type manifolds. Zbl 1356.53041Catino, Giovanni; Mastrolia, Paolo; Monticelli, Dario D.; Rigoli, Marco 22 2017 A Schwarz-type lemma for noncompact manifolds with boundary and geometric applications. Zbl 1380.53039Albanese, Guglielmo; Rigoli, Marco 4 2017 Lichnerowicz-type equations with sign-changing nonlinearities on complete manifolds with boundary. Zbl 1377.58012Albanese, Guglielmo; Rigoli, Marco 1 2017 Maximum principles and geometric applications. Zbl 1346.58001Alías, Luis J.; Mastrolia, Paolo; Rigoli, Marco 67 2016 Analytic and geometric properties of generic Ricci solitons. Zbl 1351.53050Catino, G.; Mastrolia, P.; Monticelli, D. D.; Rigoli, M. 8 2016 Lichnerowicz-type equations on complete manifolds. Zbl 1349.35372Albanese, Guglielmo; Rigoli, Marco 6 2016 Yamabe type equations with a sign-changing nonlinearity, and the prescribed curvature problem. Zbl 1337.58012Bianchini, Bruno; Mari, Luciano; Rigoli, Marco 6 2016 Conformal Ricci solitons and related integrability conditions. Zbl 1388.53029Catino, Giovanni; Mastrolia, Paolo; Monticelli, Dario D.; Rigoli, Marco 6 2016 A new open form of the weak maximum principle and geometric applications. Zbl 1348.58010Alías, Luis J.; Miranda, Juliana F. R.; Rigoli, Marco 3 2016 Geometric elliptic functionals and mean curvature. Zbl 1339.49038Alías, Luis J.; de Lira, Jorge H. S.; Rigoli, Marco 2 2016 Yamabe type equations with sign-changing nonlinearities on non-compact Riemannian manifolds. Zbl 1396.58016Bianchini, Bruno; Mari, Luciano; Rigoli, Marco 8 2015 A note on Killing fields and CMC hypersurfaces. Zbl 1326.53080Mari, L.; Mastrolia, P.; Rigoli, M. 5 2015 A sharp height estimate for compact hypersurfaces with constant \(k\)-mean curvature in warped product spaces. Zbl 1316.53067García-Martínez, Sandra C.; Impera, Debora; Rigoli, Marco 4 2015 Weak maximum principles and geometric estimates for spacelike hypersurfaces in generalized Robertson-Walker spacetimes. Zbl 1328.53066Alías, Luis J.; Rigoli, Marco; Scoleri, Simona 2 2015 On the role of gradient terms in coercive quasilinear differential inequalities on Carnot groups. Zbl 1329.35326Albanese, Guglielmo; Mari, Luciano; Rigoli, Marco 1 2015 Hypersurfaces of constant higher order mean curvature in warped products. Zbl 1276.53064Alías, Luis J.; Impera, Debora; Rigoli, Marco 32 2013 On some aspects of oscillation theory and geometry. Zbl 1295.34047Bianchini, Bruno; Mari, Luciano; Rigoli, Marco 21 2013 A general form of the weak maximum principle and some applications. Zbl 1296.58009Albanese, Guglielmo; Alías, Luis J.; Rigoli, Marco 11 2013 Biharmonic hypersurfaces in complete Riemannian manifolds. Zbl 1278.53059Alías, Luis J.; García-Martínez, S. Carolina; Rigoli, Marco 10 2013 Some geometric analysis on generic Ricci solitons. Zbl 1335.53062Mastrolia, Paolo; Rigoli, Marco; Rimoldi, Michele 6 2013 Higher order mean curvature estimates for bounded complete hypersurfaces. Zbl 1304.53050Alías, L. J.; Dajczer, M.; Rigoli, M. 6 2013 A note on curvature of Riemannian manifolds. Zbl 1257.53057Mastrolia, Paolo; Monticelli, Dario D.; Rigoli, Marco 5 2013 Erratum to “Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes”. Zbl 1272.53050Alías, Luis J.; Impera, Debora; Rigoli, Marco 2 2013 Yamabe type equations with sign-changing nonlinearities on the Heisenberg group, and the role of Green functions. Zbl 1322.35143Bianchini, Bruno; Mari, Luciano; Rigoli, Marco 1 2013 Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes. Zbl 1241.53051Alías, Luis J.; Impera, Debora; Rigoli, Marco 24 2012 Yamabe-type equations on complete, noncompact manifolds. Zbl 1323.53004Mastrolia, Paolo; Rigoli, Marco; Setti, Alberto G. 23 2012 A maximum principle for hypersurfaces with constant scalar curvature and applications. Zbl 1237.53044Alías, Luis J.; García-Martínez, S. Carolina; Rigoli, Marco 20 2012 Ricci almost solitons. Zbl 1239.53057Pigola, Stefano; Rigoli, Marco; Rimoldi, Michele; Setti, Alberto 94 2011 Keller-Osserman type conditions for differential inequalities with gradient terms on the Heisenberg group. Zbl 1223.35308Magliaro, Marco; Mari, Luciano; Mastrolia, Paolo; Rigoli, Marco 14 2011 On the geometry of curves and conformal geodesics in the Möbius space. Zbl 1246.53011Magliaro, Marco; Mari, Luciano; Rigoli, Marco 3 2011 Some geometric properties of hypersurfaces with constant \(r\)-mean curvature in Euclidean space. Zbl 1220.53073Impera, Debora; Mari, Luciano; Rigoli, Marco 2 2011 Some generalizations of Calabi compactness theorem. Zbl 1291.53057Bianchini, Bruno; Mari, Luciano; Rigoli, Marco 1 2011 Nonlinear weighted \(p\)-Laplacian elliptic inequalities with gradient terms. Zbl 1204.35181Filippucci, Roberta; Pucci, Patrizia; Rigoli, Marco 34 2010 Keller-Osserman conditions for diffusion-type operators on Riemannian manifolds. Zbl 1186.53051Mari, Luciano; Rigoli, Marco; Setti, Alberto G. 13 2010 Existence and non-existence results for a logistic-type equation on manifolds. Zbl 1194.58021Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 8 2010 Diffusion-type operators, Liouville theorems and gradient estimates on complete manifolds. Zbl 1193.58020Mastrolia, Paolo; Rigoli, Marco 4 2010 Maps from Riemannian manifolds into non-degenerate Euclidean cones. Zbl 1205.53006Mari, Luciano; Rigoli, Marco 2 2010 On weak solutions of nonlinear weighted \(p\)-Laplacian elliptic inequalities. Zbl 1165.35488Filippucci, Roberta; Pucci, Patrizia; Rigoli, Marco 15 2009 On entire solutions of degenerate elliptic differential inequalities with nonlinear gradient terms. Zbl 1172.35082Filippucci, Roberta; Pucci, Patrizia; Rigoli, Marco 14 2009 Spectral radius, index estimates for Schrödinger operators and geometric applications. Zbl 1179.34098Bianchini, Bruno; Mari, Luciano; Rigoli, Marco 10 2009 On the compact support principle on complete manifolds. Zbl 1155.35111Rigoli, Marco; Salvatori, Maura; Vignati, Marco 1 2009 Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique. Zbl 1150.53001Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 109 2008 Non-existence of entire solutions of degenerate elliptic inequalities with weights. Zbl 1151.35110Filippucci, Roberta; Pucci, Patrizia; Rigoli, Marco 19 2008 Constancy of \(p\)-harmonic maps of finite \(q\)-energy into non-positively curved manifolds. Zbl 1147.53051Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 16 2008 Entire solutions of singular elliptic inequalities on complete manifolds. Zbl 1148.35103Pucci, Patrizia; Rigoli, Marco 4 2008 A finiteness theorem for the space of \(L^{p}\) harmonic sections. Zbl 1153.53024Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 3 2008 Erratum: ”Non-existence of entire solutions of degenerate elliptic inequalities with weights” [Arch. Ration. Mech. Anal. 188, No. 1, 155–179 (2008; Zbl pre05261597)]. Zbl 1132.35379Filippucci, Roberta; Pucci, Patrizia; Rigoli, Marco 2 2008 Aspects of potential theory on manifolds, linear and non-linear. Zbl 1205.31005Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 2 2008 Some characterizations of space-forms. Zbl 1123.53020Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 19 2007 Qualitative properties for solutions of singular elliptic inequalities on complete manifolds. Zbl 1143.35099Pucci, Patrizia; Rigoli, Marco; Serrin, James 13 2007 “A priori” estimates, uniqueness and existence of positive solutions of Yamabe type equations on complete manifolds. Zbl 1121.58022Rigoli, Marco; Zamperlin, Silvia 4 2007 Some nonlinear function theoretic properties of Riemannian manifolds. Zbl 1112.31004Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 9 2006 Maximum principles at infinity on Riemannian manifolds: an overview. Zbl 1145.58009Pigola, S.; Rigoli, M.; Setti, A. G. 7 2006 Maximum principles on Riemannian manifolds and applications. Zbl 1075.58017Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 98 2005 Vanishing theorems on Riemannian manifolds, and geometric applications. Zbl 1087.58022Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 23 2005 A Liouville-type result for quasi-linear elliptic equations on complete Riemannian manifolds. Zbl 1070.58023Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 13 2005 Some remarks on the weak maximum principle. Zbl 1110.58022Rigoli, Marco; Salvatori, Maura; Vignati, Marco 6 2005 Strongly subharmonic functions, graphs, and their asymptotic growth. Zbl 1065.31008Rigoli, Marco; Salvatori, Maura; Vignati, Marco 1 2005 A remark on the maximum principle and stochastic completeness. Zbl 1015.58007Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 54 2003 Volume growth, “a priori” estimates, and geometric applications. Zbl 1065.53037Pigola, S.; Rigoli, M.; Setti, A. G. 20 2003 Some applications of integral formulas in Riemannian geometry and PDE’s. Zbl 1097.53024Rigoli, Marco; Pigola, Stefano; Setti, Alberto G. 8 2003 Some remarks on the prescribed mean curvature equation on complete manifolds. Zbl 1057.53049Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 11 2002 Maximum principles and singular elliptic inequalities. Zbl 1119.35311Pigola, Stefano; Rigoli, Marco; Setti, Alberto G. 10 2002 A Liouville theorem for a class of superlinear elliptic equations on cones. Zbl 1007.35025Rigoli, Marco; Setti, Alberto G. 2 2002 Liouville type theorems for \(\varphi\)-subharmonic functions. Zbl 1043.58022Rigoli, Marco; Setti, Alberto G. 32 2001 On the \(L^2\)-form spectrum of the Laplacian on nonnegatively curved manifolds. Zbl 0998.58023Rigoli, Marco; Setti, Alberto G. 1 2001 Energy estimates and Liouville theorems for harmonic maps. Zbl 1110.58305Rigoli, Marco; Setti, Alberto G. 6 2000 A Liouville type theorem for a general class of operators on complete manifolds. Zbl 1043.58021Rigoli, Marco; Salvatori, Maura; Vignati, Marco 4 2000 Positive solutions of Yamabe-type equations on the Heisenberg group. Zbl 0948.35027Brandolini, L.; Rigoli, M.; Setti, A. G. 20 1998 Positive solutions of Yamabe type equations on complete manifolds and applications. Zbl 0923.58049Brandolini, L.; Rigoli, M.; Setti, A. G. 19 1998 Average decay of Fourier transforms and geometry of convex sets. Zbl 0943.42004Brandolini, Luca; Rigoli, Marco; Travaglini, Giancarlo 17 1998 Volume growth and \(p\)-subharmonic functions on complete manifolds. Zbl 0897.31002Rigoli, Marco; Salvatori, Maura; Vignati, Marco 3 1998 Nonexistence and uniqueness of positive solutions of Yamabe type equations on nonpositively curved manifolds. Zbl 0892.53019Bianchini, Bruno; Rigoli, Marco 15 1997 Scalar curvature and conformal deformations of noncompact Riemannian manifolds. Zbl 0899.53033Ratto, Andrea; Rigoli, Marco; Véron, Laurent 14 1997 Subharmonic functions on graphs. Zbl 0888.31004Rigoli, Marco; Salvatori, Maura; Vignati, Marco 8 1997 A note on \(p\)-subharmonic functions on complete manifolds. Zbl 0873.31012Rigoli, Marco; Salvatori, Maura; Vignati, Marco 6 1997 Liouville properties on graphs. Zbl 0881.31008Rigoli, Marco; Salvatori, Maura; Vignati, Marco 1 1997 A uniqueness result in PDE’s and parallel mean curvature immersions in Euclidean space. Zbl 0855.53024Ratto, Andrea; Rigoli, Marco; Setti, Alberto G. 3 1996 On the existence of positive solutions of Yamabe-type equations on the Heisenberg group. Zbl 0870.35029Brandolini, L.; Rigoli, M.; Setti, A. G. 2 1996 On the Omori-Yau maximum principle and its applications to differential equations and geometry. Zbl 0855.58021Ratto, Andrea; Rigoli, Marco; Setti, Alberto G. 20 1995 Gradient bounds and Liouville’s type theorems for the Poisson equation on complete Riemannian manifolds. Zbl 0847.58069Ratto, Andrea; Rigoli, Marco 7 1995 Scalar curvature and conformal deformation of hyperbolic space. Zbl 0801.53026Ratto, Andrea; Rigoli, Marco; Véron, Laurent 22 1994 Conformal immersions of complete Riemannian manifolds and extensions of the Schwarz lemma. Zbl 0813.53038Ratto, Andrea; Rigoli, Marco; Véron, Laurent 5 1994 Scalar curvature and conformal deformations of noncompact Riemannian manifolds. (Courbure scalaire et déformations conformes des variétés riemanniennes non compactes.) Zbl 0798.53042Ratto, Andrea; Rigoli, Marco; Véron, Laurent 2 1994 On the asymptotic behaviour of rotationally symmetric harmonic maps. Zbl 0767.34029Ratto, Andrea; Rigoli, Marco 13 1993 Isometric immersions of Kähler manifolds. Zbl 0796.53064Ferreira, Maria Joáo; Rigoli, Marco; Tribuzy, Renato 4 1993 Willmore submanifolds of the Möbius space and a Bernstein-type theorem. Zbl 0790.53049Rigoli, Marco; Salavessa, Isabel M. C. 2 1993 Elliptic differential inequalities with applications to harmonic maps. Zbl 0802.58018Ratto, Andrea; Rigoli, Marco 1 1993 ...and 14 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 750 Authors 71 Rigoli, Marco 53 de Lima, Henrique F. 31 Jiao, Xiaoxiang 29 Alías, Luis J. 29 Pigola, Stefano 27 Setti, Alberto G. 18 Mari, Luciano 17 Mastrolia, Paolo 15 Velásquez, Marco Antonio Lázaro 14 Brandolini, Luca 14 de Lima, Eudes Leite 14 Dos Santos, Fábio Reis 14 Bessa, Gregório Pacelli 14 Pucci, Patrizia 13 Fei, Jie 13 Filippucci, Roberta 12 Impera, Debora 11 Catino, Giovanni 11 Lin, Hezi 11 Veronelli, Giona 10 Monticelli, Dario Daniele 10 Pelegrín, José A. S. 10 Punzo, Fabio 10 Stepanov, Sergeĭ Evgen’evich 10 Travaglini, Giancarlo 10 Xu, Xiaowei 9 Araújo, Jogli G. 9 Rimoldi, Michele 9 Santos, Márcio S. 8 Aquino, Cicero Pedro 8 Dajczer, Marcos 8 Ghosh, Amalendu 8 He, Ling 8 Leung, Man Chun 7 Colombo, Giulio 7 de Lira, Jorge Herbert Soares 7 Deshmukh, Sharief 7 Dong, Yuxin 7 Gomes, José Nazareno Vieira 7 Nguyễn Thạc Dũng 7 Ribeiro, Ernani jun. 7 Wang, Linfeng 6 Abolarinwa, Abimbola 6 Berchio, Elvise 6 Cheung, Leung-Fu 6 Colares, Antonio Gervásio 6 Fu, Haiping 6 Ganguly, Debdip 6 Law, Chun-Kong 6 Lima, Eraldo Almeida jun. 6 Pessoa, Leandro F. 6 Tsyganok, Irina Ivanovna 6 Véron, Laurent 6 Wei, Juncheng 6 Wei, Shihshu Walter 5 Adriano, Levi Rosa 5 Batista, Márcio 5 Bianchini, Bruno 5 Bolton, John 5 Caminha, Antonio 5 Cánovas, Verónica L. 5 Colzani, Leonardo 5 Cunha, Antonio W. 5 D’Ambrosio, Lorenzo 5 Devyver, Baptiste 5 Farina, Alberto 5 Galakhov, Evgeniĭ Igorevich 5 Grillo, Gabriele 5 Holopainen, Ilkka 5 Huang, Guangyue 5 Iosevich, Alex 5 Kon’kov, Andrej A. 5 Li, Zhenqi 5 Lin, Chang-Shou 5 Meléndez, Josué 5 Palmer, Vicente 5 Patra, Dhriti Sundar 5 Peng, Chiakuei 5 Salieva, Olga Alekseevna 5 Salvatori, Maura 5 Shishkov, Andrey E. 5 Tribuzy, Renato 5 Vignati, Marco 5 Wang, Jun 5 Woodward, Lyndon M. 5 Xia, Changyu 4 Albanese, Guglielmo 4 Chu, Yawei 4 De, Uday Chand 4 Dong, Wei 4 Eschenburg, Jost-Hinrich 4 Ferreira, Maria João 4 García-Río, Eduardo 4 Gimeno, Vicent 4 Grundland, Alfred Michel 4 Heinonen, Esko 4 Hu, Zejun 4 Jost, Jürgen 4 Leschke, Katrin 4 Li, Jing ...and 650 more Authors all top 5 Cited in 184 Serials 49 Journal of Mathematical Analysis and Applications 43 Nonlinear Analysis. 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Scienze Matematiche 2 São Paulo Journal of Mathematical Sciences 2 Eurasian Mathematical Journal ...and 84 more Serials all top 5 Cited in 39 Fields 585 Differential geometry (53-XX) 276 Partial differential equations (35-XX) 185 Global analysis, analysis on manifolds (58-XX) 45 Potential theory (31-XX) 27 Relativity and gravitational theory (83-XX) 21 Several complex variables and analytic spaces (32-XX) 18 Ordinary differential equations (34-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 14 Probability theory and stochastic processes (60-XX) 13 Real functions (26-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Functions of a complex variable (30-XX) 10 Number theory (11-XX) 10 Functional analysis (46-XX) 9 Operator theory (47-XX) 9 Convex and discrete geometry (52-XX) 9 Manifolds and cell complexes (57-XX) 9 Quantum theory (81-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Combinatorics (05-XX) 4 Algebraic geometry (14-XX) 4 Topological groups, Lie groups (22-XX) 4 Abstract harmonic analysis (43-XX) 3 Geometry (51-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year