Edit Profile (opens in new tab) Gutiérrez, Cristian E. Compute Distance To: Compute Author ID: gutierrez.cristian-e Published as: Gutiérrez, Cristian E.; Gutierrez, Cristian E.; Guitiérrez, Cristian E.; Gutierrez, Christian E.; Gutiérrez, Christian E.; Gutiíerrez, Cristian E.; Gutièrrez, Cristian E.; Gutiérrez, Cristian; Gutierrez, C. E.; Gutiérrez, C. E.; Gutierrez, C. more...less Documents Indexed: 94 Publications since 1980, including 2 Books 3 Contributions as Editor · 1 Further Contribution Co-Authors: 35 Co-Authors with 66 Joint Publications 690 Co-Co-Authors all top 5 Co-Authors 13 single-authored 9 Lanconelli, Ermanno 8 Huang, Qingbo 8 Wheeden, Richard Lee 7 Sotomayor, Jorge 7 Tournier, Federico 6 Montanari, Annamaria 6 Sabra, Ahmad 4 Caffarelli, Luis Ángel 4 Mawi, Henok 4 Nguyen, Truyen Van 3 Abedin, Farhan 3 Franchi, Bruno 2 Capogna, Luca 2 Di Fazio, Giuseppe 2 Gatto, Angel E. 2 Guan, Pengfei 2 Guíñez, Víctor 2 Lloyd, Simon 2 Peral Alonso, Ireneo 2 Pires, Benito 2 Teixeira, Marco Antonio 2 Torrea, José Luis 2 Tralli, Giulio 1 Alsmeyer, Gerold 1 An, D. T. V. 1 Arocena, Rodrigo 1 Balogh, Zoltán M. 1 Beckner, William 1 Birindelli, Isabeau 1 Burkholder, Donald L. 1 Calderon, Alberto Pedro 1 Capri, Osvaldo N. 1 Coifman, Ronald Raphaël 1 Córdoba Barba, Antonio Juan 1 Cotlar, Mischa 1 De Leo, Roberto 1 Fabes, Eugene B. 1 Fava, Norberto Angel 1 Fefferman, Robert A. 1 Frederico, Tobias 1 Garcia-Azorero, Jesús 1 Garcia, Ronaldo A. 1 Gasper, George Jun 1 Gatto, E. A. 1 Gigante, V. 1 Guadalupe, Irwen Válle 1 Gundy, R. R. 1 Hartenstine, David A. 1 Hunt, Richard A. 1 Incognito, Andrew 1 Janson, Svante 1 Jarque, Xavier 1 Jerison, David S. 1 Jodeit, Max jun. 1 Jones, Peter Wilcox 1 Kristály, Alexandru 1 Kurtz, Douglas S. 1 Llibre, Jaume 1 McIntosh, Alan 1 Medvedev, Vladislav Sergeevich 1 Mérigot, Quentin 1 Meyer, Yves F. 1 Montgomery, Hugh Lowell 1 Nelson, Gail S. 1 Neugebauer, Christoph J. 1 Oliveira, Regilene D. S. 1 Phong, Duong Hong 1 Pychorides, S. K. 1 Sadosky, Cora 1 Salmè, Giovanni 1 Sánchez-Bringas, Federico 1 Scotto, Roberto 1 Segovia Fernández, Carlos 1 Stein, Elias Menachem 1 Taibleson, Mitchell H. 1 Thibert, Boris 1 Tomio, Lauro 1 Urbina Romero, Wilfredo O. 1 Weiss, Guido Leopold 1 Zafran, Misha 1 Zhuzhoma, Evgeniĭ Viktorovich all top 5 Serials 10 Communications in Partial Differential Equations 9 Transactions of the American Mathematical Society 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the American Mathematical Society 4 Calculus of Variations and Partial Differential Equations 3 Archive for Rational Mechanics and Analysis 3 Studia Mathematica 2 Indiana University Mathematics Journal 2 Journal of Differential Equations 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal of Dynamical and Control Systems 2 Journal of Theoretical Biology 2 Progress in Nonlinear Differential Equations and Their Applications 1 Houston Journal of Mathematics 1 Physics Letters. B 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 American Journal of Mathematics 1 Applied Mathematics and Optimization 1 Boletim da Sociedade Brasileira de Matemática 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Journal of Functional Analysis 1 Le Matematiche 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Revista Colombiana de Matemáticas 1 Revista de la Unión Matemática Argentina 1 Advances in Applied Mathematics 1 Revista Matemática Iberoamericana 1 The Journal of Fourier Analysis and Applications 1 Matemática Contemporânea 1 Doklady Mathematics 1 Annals of Mathematics. Second Series 1 Journal of Nonlinear and Convex Analysis 1 Journal of Evolution Equations 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Lecture Notes in Mathematics 1 Lecture Notes of Seminario Interdisciplinare di Matematica 1 SIAM Journal on Imaging Sciences 1 Set-Valued and Variational Analysis 1 SMAI Journal of Computational Mathematics all top 5 Fields 57 Partial differential equations (35-XX) 23 Optics, electromagnetic theory (78-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Differential geometry (53-XX) 8 Functional analysis (46-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Ordinary differential equations (34-XX) 5 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-XX) 4 Real functions (26-XX) 3 Convex and discrete geometry (52-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 1,105 times in 653 Documents Cited by ▼ Year ▼ The Monge-Ampère equation. Zbl 0989.35052Gutiérrez, Cristian E. 156 2001 Properties of the solutions of the linearized Monge-Ampère equation. Zbl 0878.35039Caffarelli, Luis A.; Gutiérrez, Cristian E. 83 1997 Weighted Sobolev-Poincaré inequalities for Grushin type operators. Zbl 0822.46032Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L. 79 1994 Real analysis related to the Monge-Ampère equation. Zbl 0858.35034Caffarelli, Luis A.; Gutiérrez, Cristian E. 45 1996 On the Riesz transforms for Gaussian measures. Zbl 0807.46030Gutiérrez, Cristian E. 37 1994 Structurally stable configurations of lines of principal curvature. Zbl 0521.53003Sotomayor, J.; Gutierrez, C. 37 1983 Geometric properties of the sections of solutions to the Monge-Ampère equation. Zbl 0958.35043Gutiérrez, Cristian E.; Huang, Qingbo 37 2000 Maximum principle, nonhomogeneous Harnack inequality, and Liouville theorems for \(X\)-elliptic operators. Zbl 1064.35036Gutiérrez, Cristian E.; Lanconelli, Ermanno 35 2003 Weak-type estimates for the Riesz transform associated with the Gaussian measure. Zbl 0810.42006Fabes, Eugene B.; Gutiérrez, Cristian E.; Scotto, Roberto 33 1994 The Monge-Ampère equation. 2nd edition. Zbl 1356.35004Gutiérrez, Cristian E. 32 2016 Harnack’s inequality for degenerate Schrödinger operators. Zbl 0685.35020Gutierrez, Cristian E. 30 1989 Harnack’s inequality for degenerate parabolic equations. Zbl 0746.35007Gutiérrez, Christian E.; Wheeden, Richard L. 28 1991 Maximum and comparison principles for convex functions on the Heisenberg group. Zbl 1056.35033Gutiérrez, Cristian E.; Montanari, Annamaria 28 2004 The refractor problem in reshaping light beams. Zbl 1173.78005Gutiérrez, Cristian E.; Huang, Qingbo 25 2009 On higher Riesz transforms for Gaussian measures. Zbl 0893.42007Gutiérrez, Cristian E.; Segovia, Carlos; Torrea, José Luis 24 1996 Covering theorems, inequalities on metric spaces and applications to PDE’s. Zbl 1149.46029Di Fazio, Giuseppe; Gutièrrez, Cristian E.; Lanconelli, Ermanno 24 2008 A generalization of a theorem by Calabi to the parabolic Monge-Ampère equation. Zbl 0926.35053Gutiérrez, Cristian E.; Huang, Qingbo 23 1998 The near field refractor. Zbl 1301.78001Gutiérrez, Cristian E.; Huang, Qingbo 23 2014 Riesz transforms, \(g\)-functions, and multipliers for the Laguerre semigroup. Zbl 1004.42017Gutiérrez, Cristian E.; Incognito, Andrew; Torrea, José Luis 22 2001 On the regularity of reflector antennas. Zbl 1140.35009Caffarelli, Luis A.; Gutiíerrez, Cristian E.; Huang, Qingbo 22 2008 Sobolev interpolation inequalities with weights. Zbl 0762.46018Gutierrez, Christian E.; Wheeden, Richard L. 20 1991 Mean value and Harnack inequalities for degenerate parabolic equations. Zbl 0785.35057Gutiérrez, Cristian E.; Wheeden, Richard L. 18 1990 An approximation theorem for immersions with stable configurations of lines of principal curvature. Zbl 0528.53002Gutierrez, C.; Sotomayor, J. 18 1983 On the numerical solution of the far field refractor problem. Zbl 1369.78175De Leo, Roberto; Gutiérrez, Cristian E.; Mawi, Henok 15 2017 Two-weight Sobolev-Poincaré inequalities and Harnack inequality for a class of degenerate elliptic operators. Zbl 0811.46023Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L. 14 1994 On the second order derivatives of convex functions on the Heisenberg group. Zbl 1170.35352Montanari, Annamaria; Gutiérrez, Cristian E. 14 2004 Regularity for the near field parallel refractor and reflector problems. Zbl 1334.78007Gutiérrez, Cristian E.; Tournier, Federico 14 2015 \(W^{2,p}\) estimates for the parabolic Monge-Ampère equation. Zbl 0992.35020Gutiérrez, Cristian E.; Huang, Qingbo 13 2001 Interior gradient estimates for solutions to the linearized Monge-Ampère equation. Zbl 1267.35097Gutiérrez, Cristian E.; Nguyen, Van Truyen 12 2011 The refractor problem with loss of energy. Zbl 1267.78008Gutiérrez, Cristian E.; Mawi, Henok 11 2013 Bounds for the fundamental solution of degenerate parabolic equations. Zbl 0785.35002Gutiérrez, Cristian E.; Wheeden, Richard L. 10 1992 Weighted inequalities for a vector-valued strong maximal function. Zbl 0676.42018Capri, Osvaldo N.; Gutiérrez, Cristian E. 10 1988 Bounds for the fundamental solution of degenerate parabolic equations. Zbl 0684.35004Gutiérrez, Cristian E.; Nelson, Gail S. 10 1988 Schauder estimates for sub-elliptic equations. Zbl 1239.35039Gutiérrez, Cristian E.; Lanconelli, Ermanno 10 2009 \(W^{2,p}\)-estimates for the linearized Monge-Ampère equation. Zbl 1210.35026Gutiérrez, Cristian E.; Tournier, Federico 9 2006 Singular integrals related to the Monge-Ampère equation. Zbl 0881.35034Caffarelli, Luis A.; Gutiérrez, Cristian E. 9 1997 \(C^{1, \alpha}\) estimates for the parallel refractor. Zbl 1343.78002Abedin, Farhan; Gutiérrez, Cristian E.; Tralli, Giulio 9 2016 Homogenization and convergence of correctors in Carnot groups. Zbl 1080.35005Franchi, Bruno; Gutiérrez, Cristian E.; van Nguyen, Truyen 9 2005 On Monge-Ampère type equations arising in optimal transportation problems. Zbl 1108.49018Gutiérrez, Cristian E.; van Nguyen, Truyen 8 2007 The parallel refractor. Zbl 1264.78003Gutiérrez, Cristian E.; Tournier, Federico 8 2013 Global injectivity of \(C^1\) maps of the real plane, inseparable leaves and the Palais-Smale condition. Zbl 1131.37026Gutierrez, C.; Jarque, X.; Llibre, J.; Teixeira, M. A. 8 2007 Refraction problems in geometric optics. Zbl 1284.35415Gutiérrez, Cristian E. 8 2014 An iterative method for generated Jacobian equations. Zbl 1376.49037Abedin, Farhan; Gutiérrez, Cristian E. 7 2017 Harnack inequality for a degenerate elliptic equation. Zbl 1260.35063Gutiérrez, Cristian E.; Tournier, Federico 7 2011 On weighted norm inequalities for the maximal function. Zbl 0536.42021Gatto, Angel E.; Gutiérrez, Cristian E. 7 1983 Fractional integrals on weighted \(H^ p\) spaces. Zbl 0573.42013Gatto, Angel E.; Gutiérrez, Cristian E.; Wheeden, Richard L. 7 1985 Interior second derivative estimates for solutions to the linearized Monge-Ampère equation. Zbl 1317.35075Gutiérrez, Cristian E.; Nguyen, Truyen 7 2015 Estimates for the maximal operator of the Ornstein-Uhlenbeck semigroup. Zbl 0737.42019Gutiérrez, Cristian E.; Urbina, Wilfredo O. 6 1991 Harnack’s inequality for a class of non-divergent equations in the Heisenberg group. Zbl 1391.35153Abedin, Farhan; Gutiérrez, Cristian E.; Tralli, Giulio 6 2017 Principal lines on surfaces immersed with constant mean curvature. Zbl 0598.53007Gutiérrez, C.; Sotomayor, J. 6 1986 Aspherical lens design and imaging. Zbl 1334.35426Gutiérrez, Cristian E.; Sabra, Ahmad 6 2016 Classical, viscosity and average solutions for PDE’s with nonnegative characteristic form. Zbl 1098.35052Lanconelli, Ermanno; Guitiérrez, Cristian E. 5 2004 On a Loewner umbilic-index conjecture for surfaces immersed in \({\mathbb{R}}^4\). Zbl 0942.53009Gutierrez, C.; Sánchez-Bringas, F. 5 1998 Freeform lens design for scattering data with general radiant fields. Zbl 1393.78002Gutiérrez, Cristian E.; Sabra, Ahmad 5 2018 Closed principal lines and bifurcation. Zbl 0608.53003Gutierrez, C.; Sotomayor, J. 4 1986 Periodic lines of curvature bifurcating from Darbouxian umbilical connections. Zbl 0714.34057Gutierrez, C.; Sotomayor, J. 4 1990 Limiting genotype frequencies of Y-linked genes through bisexual branching processes with blind choice. Zbl 1405.92157Alsmeyer, G.; Gutiérrez, C.; Martínez, R. 4 2011 Refractors in anisotropic media associated with norms. Zbl 1435.78002Gutiérrez, Cristian E.; Huang, Qingbo; Mawi, Henok 3 2019 Pointwise estimates for solutions of degenerate parabolic equations. Zbl 0788.35074Gutiérrez, Cristian E. 3 1991 Homogenization of quasilinear parabolic equations in periodic media. Zbl 1073.35022García-Azorero, J.; Gutiérrez, C. E.; Peral, I. 3 2003 On the strong maximal function and Zygmund’s class \(L(\log+L)^ n\). Zbl 0381.42001Fava, N. A.; Gatto, E. A.; Gutierrez, C. 3 1980 Configurations of lines of principal curvature and their bifurcations. Zbl 0587.58026Sotomayor, J.; Gutiérrez, C. 3 1985 The reflector problem and the inverse square law. Zbl 1283.35136Gutiérrez, Cristian E.; Sabra, Ahmad 3 2014 Extinction conditions for Y-linked mutant-alleles through two-sex branching processes with blind-mating structure. Zbl 1337.92141González, M.; Gutiérrez, C.; Martínez, R. 3 2012 Ovaloids of \(\mathbb{R}^3\) and their umbilics: A differential equation approach. Zbl 0994.53002Garcia, Ronaldo; Gutierrez, C. 2 2000 Principal lines on surfaces minimally immersed in constantly curved 4- spaces. Zbl 0633.53010Guadalupe, I.; Gutierrez, C.; Sotomayor, J.; Tribuzy, Renato 2 1987 Affine interval exchange transformations with flips and wandering intervals. Zbl 1170.37020Gutierrez, C.; Lloyd, S.; Pires, B. 2 2009 A harmonic analysis theorem and applications to homogenization. Zbl 1022.43002Gutiérrez, Cristian E.; Peral, Ireneo 2 2001 Rank-1 codimension one singularities of positive quadratic differential forms. Zbl 1055.37058Guíñez, V.; Gutierrez, C. 2 2004 Nonsmooth hypersurfaces with smooth Levi curvature. Zbl 1255.35115Gutiérrez, Cristian E.; Lanconelli, Ermanno; Montanari, Annamaria 2 2013 Local near field refractors and reflectors. Zbl 1295.78006Gutiérrez, Cristian E.; Tournier, Federico 2 2014 The near field refractor. Zbl 1183.78006Gutiérrez, Cristian E. 2 2008 Regularity of weak solutions to the Monge-Ampère equation. Zbl 1088.35012Gutiérrez, Cristian E.; Hartenstine, David 1 2003 Positive quadratic differential forms: Topological equivalence through Newton polyhedra. Zbl 1130.37343Gutierrez, C.; Oliveira, R. D. S.; Teixeira, M. A. 1 2006 Chromatic aberration in metalenses. Zbl 1475.78004Gutiérrez, Cristian E.; Sabra, Ahmad 1 2021 Optimality conditions for weak solutions of vector optimization problems through quasi interiors and improvement sets. Zbl 1473.90151Gutiérrez, C. 1 2019 Bethe-Salpeter bound-state structure in Minkowski space. Zbl 1367.81067Gutierrez, C.; Gigante, V.; Frederico, T.; Salmè, G.; Viviani, M.; Tomio, Lauro 1 2016 Chromatic aberration in metalenses. Zbl 1475.78004Gutiérrez, Cristian E.; Sabra, Ahmad 1 2021 Refractors in anisotropic media associated with norms. Zbl 1435.78002Gutiérrez, Cristian E.; Huang, Qingbo; Mawi, Henok 3 2019 Optimality conditions for weak solutions of vector optimization problems through quasi interiors and improvement sets. Zbl 1473.90151Gutiérrez, C. 1 2019 Freeform lens design for scattering data with general radiant fields. Zbl 1393.78002Gutiérrez, Cristian E.; Sabra, Ahmad 5 2018 On the numerical solution of the far field refractor problem. Zbl 1369.78175De Leo, Roberto; Gutiérrez, Cristian E.; Mawi, Henok 15 2017 An iterative method for generated Jacobian equations. Zbl 1376.49037Abedin, Farhan; Gutiérrez, Cristian E. 7 2017 Harnack’s inequality for a class of non-divergent equations in the Heisenberg group. Zbl 1391.35153Abedin, Farhan; Gutiérrez, Cristian E.; Tralli, Giulio 6 2017 The Monge-Ampère equation. 2nd edition. Zbl 1356.35004Gutiérrez, Cristian E. 32 2016 \(C^{1, \alpha}\) estimates for the parallel refractor. Zbl 1343.78002Abedin, Farhan; Gutiérrez, Cristian E.; Tralli, Giulio 9 2016 Aspherical lens design and imaging. Zbl 1334.35426Gutiérrez, Cristian E.; Sabra, Ahmad 6 2016 Bethe-Salpeter bound-state structure in Minkowski space. Zbl 1367.81067Gutierrez, C.; Gigante, V.; Frederico, T.; Salmè, G.; Viviani, M.; Tomio, Lauro 1 2016 Regularity for the near field parallel refractor and reflector problems. Zbl 1334.78007Gutiérrez, Cristian E.; Tournier, Federico 14 2015 Interior second derivative estimates for solutions to the linearized Monge-Ampère equation. Zbl 1317.35075Gutiérrez, Cristian E.; Nguyen, Truyen 7 2015 The near field refractor. Zbl 1301.78001Gutiérrez, Cristian E.; Huang, Qingbo 23 2014 Refraction problems in geometric optics. Zbl 1284.35415Gutiérrez, Cristian E. 8 2014 The reflector problem and the inverse square law. Zbl 1283.35136Gutiérrez, Cristian E.; Sabra, Ahmad 3 2014 Local near field refractors and reflectors. Zbl 1295.78006Gutiérrez, Cristian E.; Tournier, Federico 2 2014 The refractor problem with loss of energy. Zbl 1267.78008Gutiérrez, Cristian E.; Mawi, Henok 11 2013 The parallel refractor. Zbl 1264.78003Gutiérrez, Cristian E.; Tournier, Federico 8 2013 Nonsmooth hypersurfaces with smooth Levi curvature. Zbl 1255.35115Gutiérrez, Cristian E.; Lanconelli, Ermanno; Montanari, Annamaria 2 2013 Extinction conditions for Y-linked mutant-alleles through two-sex branching processes with blind-mating structure. Zbl 1337.92141González, M.; Gutiérrez, C.; Martínez, R. 3 2012 Interior gradient estimates for solutions to the linearized Monge-Ampère equation. Zbl 1267.35097Gutiérrez, Cristian E.; Nguyen, Van Truyen 12 2011 Harnack inequality for a degenerate elliptic equation. Zbl 1260.35063Gutiérrez, Cristian E.; Tournier, Federico 7 2011 Limiting genotype frequencies of Y-linked genes through bisexual branching processes with blind choice. Zbl 1405.92157Alsmeyer, G.; Gutiérrez, C.; Martínez, R. 4 2011 The refractor problem in reshaping light beams. Zbl 1173.78005Gutiérrez, Cristian E.; Huang, Qingbo 25 2009 Schauder estimates for sub-elliptic equations. Zbl 1239.35039Gutiérrez, Cristian E.; Lanconelli, Ermanno 10 2009 Affine interval exchange transformations with flips and wandering intervals. Zbl 1170.37020Gutierrez, C.; Lloyd, S.; Pires, B. 2 2009 Covering theorems, inequalities on metric spaces and applications to PDE’s. Zbl 1149.46029Di Fazio, Giuseppe; Gutièrrez, Cristian E.; Lanconelli, Ermanno 24 2008 On the regularity of reflector antennas. Zbl 1140.35009Caffarelli, Luis A.; Gutiíerrez, Cristian E.; Huang, Qingbo 22 2008 The near field refractor. Zbl 1183.78006Gutiérrez, Cristian E. 2 2008 On Monge-Ampère type equations arising in optimal transportation problems. Zbl 1108.49018Gutiérrez, Cristian E.; van Nguyen, Truyen 8 2007 Global injectivity of \(C^1\) maps of the real plane, inseparable leaves and the Palais-Smale condition. Zbl 1131.37026Gutierrez, C.; Jarque, X.; Llibre, J.; Teixeira, M. A. 8 2007 \(W^{2,p}\)-estimates for the linearized Monge-Ampère equation. Zbl 1210.35026Gutiérrez, Cristian E.; Tournier, Federico 9 2006 Positive quadratic differential forms: Topological equivalence through Newton polyhedra. Zbl 1130.37343Gutierrez, C.; Oliveira, R. D. S.; Teixeira, M. A. 1 2006 Homogenization and convergence of correctors in Carnot groups. Zbl 1080.35005Franchi, Bruno; Gutiérrez, Cristian E.; van Nguyen, Truyen 9 2005 Maximum and comparison principles for convex functions on the Heisenberg group. Zbl 1056.35033Gutiérrez, Cristian E.; Montanari, Annamaria 28 2004 On the second order derivatives of convex functions on the Heisenberg group. Zbl 1170.35352Montanari, Annamaria; Gutiérrez, Cristian E. 14 2004 Classical, viscosity and average solutions for PDE’s with nonnegative characteristic form. Zbl 1098.35052Lanconelli, Ermanno; Guitiérrez, Cristian E. 5 2004 Rank-1 codimension one singularities of positive quadratic differential forms. Zbl 1055.37058Guíñez, V.; Gutierrez, C. 2 2004 Maximum principle, nonhomogeneous Harnack inequality, and Liouville theorems for \(X\)-elliptic operators. Zbl 1064.35036Gutiérrez, Cristian E.; Lanconelli, Ermanno 35 2003 Homogenization of quasilinear parabolic equations in periodic media. Zbl 1073.35022García-Azorero, J.; Gutiérrez, C. E.; Peral, I. 3 2003 Regularity of weak solutions to the Monge-Ampère equation. Zbl 1088.35012Gutiérrez, Cristian E.; Hartenstine, David 1 2003 The Monge-Ampère equation. Zbl 0989.35052Gutiérrez, Cristian E. 156 2001 Riesz transforms, \(g\)-functions, and multipliers for the Laguerre semigroup. Zbl 1004.42017Gutiérrez, Cristian E.; Incognito, Andrew; Torrea, José Luis 22 2001 \(W^{2,p}\) estimates for the parabolic Monge-Ampère equation. Zbl 0992.35020Gutiérrez, Cristian E.; Huang, Qingbo 13 2001 A harmonic analysis theorem and applications to homogenization. Zbl 1022.43002Gutiérrez, Cristian E.; Peral, Ireneo 2 2001 Geometric properties of the sections of solutions to the Monge-Ampère equation. Zbl 0958.35043Gutiérrez, Cristian E.; Huang, Qingbo 37 2000 Ovaloids of \(\mathbb{R}^3\) and their umbilics: A differential equation approach. Zbl 0994.53002Garcia, Ronaldo; Gutierrez, C. 2 2000 A generalization of a theorem by Calabi to the parabolic Monge-Ampère equation. Zbl 0926.35053Gutiérrez, Cristian E.; Huang, Qingbo 23 1998 On a Loewner umbilic-index conjecture for surfaces immersed in \({\mathbb{R}}^4\). Zbl 0942.53009Gutierrez, C.; Sánchez-Bringas, F. 5 1998 Properties of the solutions of the linearized Monge-Ampère equation. Zbl 0878.35039Caffarelli, Luis A.; Gutiérrez, Cristian E. 83 1997 Singular integrals related to the Monge-Ampère equation. Zbl 0881.35034Caffarelli, Luis A.; Gutiérrez, Cristian E. 9 1997 Real analysis related to the Monge-Ampère equation. Zbl 0858.35034Caffarelli, Luis A.; Gutiérrez, Cristian E. 45 1996 On higher Riesz transforms for Gaussian measures. Zbl 0893.42007Gutiérrez, Cristian E.; Segovia, Carlos; Torrea, José Luis 24 1996 Weighted Sobolev-Poincaré inequalities for Grushin type operators. Zbl 0822.46032Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L. 79 1994 On the Riesz transforms for Gaussian measures. Zbl 0807.46030Gutiérrez, Cristian E. 37 1994 Weak-type estimates for the Riesz transform associated with the Gaussian measure. Zbl 0810.42006Fabes, Eugene B.; Gutiérrez, Cristian E.; Scotto, Roberto 33 1994 Two-weight Sobolev-Poincaré inequalities and Harnack inequality for a class of degenerate elliptic operators. Zbl 0811.46023Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L. 14 1994 Bounds for the fundamental solution of degenerate parabolic equations. Zbl 0785.35002Gutiérrez, Cristian E.; Wheeden, Richard L. 10 1992 Harnack’s inequality for degenerate parabolic equations. Zbl 0746.35007Gutiérrez, Christian E.; Wheeden, Richard L. 28 1991 Sobolev interpolation inequalities with weights. Zbl 0762.46018Gutierrez, Christian E.; Wheeden, Richard L. 20 1991 Estimates for the maximal operator of the Ornstein-Uhlenbeck semigroup. Zbl 0737.42019Gutiérrez, Cristian E.; Urbina, Wilfredo O. 6 1991 Pointwise estimates for solutions of degenerate parabolic equations. Zbl 0788.35074Gutiérrez, Cristian E. 3 1991 Mean value and Harnack inequalities for degenerate parabolic equations. Zbl 0785.35057Gutiérrez, Cristian E.; Wheeden, Richard L. 18 1990 Periodic lines of curvature bifurcating from Darbouxian umbilical connections. Zbl 0714.34057Gutierrez, C.; Sotomayor, J. 4 1990 Harnack’s inequality for degenerate Schrödinger operators. Zbl 0685.35020Gutierrez, Cristian E. 30 1989 Weighted inequalities for a vector-valued strong maximal function. Zbl 0676.42018Capri, Osvaldo N.; Gutiérrez, Cristian E. 10 1988 Bounds for the fundamental solution of degenerate parabolic equations. Zbl 0684.35004Gutiérrez, Cristian E.; Nelson, Gail S. 10 1988 Principal lines on surfaces minimally immersed in constantly curved 4- spaces. Zbl 0633.53010Guadalupe, I.; Gutierrez, C.; Sotomayor, J.; Tribuzy, Renato 2 1987 Principal lines on surfaces immersed with constant mean curvature. Zbl 0598.53007Gutiérrez, C.; Sotomayor, J. 6 1986 Closed principal lines and bifurcation. Zbl 0608.53003Gutierrez, C.; Sotomayor, J. 4 1986 Fractional integrals on weighted \(H^ p\) spaces. Zbl 0573.42013Gatto, Angel E.; Gutiérrez, Cristian E.; Wheeden, Richard L. 7 1985 Configurations of lines of principal curvature and their bifurcations. Zbl 0587.58026Sotomayor, J.; Gutiérrez, C. 3 1985 Structurally stable configurations of lines of principal curvature. Zbl 0521.53003Sotomayor, J.; Gutierrez, C. 37 1983 An approximation theorem for immersions with stable configurations of lines of principal curvature. Zbl 0528.53002Gutierrez, C.; Sotomayor, J. 18 1983 On weighted norm inequalities for the maximal function. Zbl 0536.42021Gatto, Angel E.; Gutiérrez, Cristian E. 7 1983 On the strong maximal function and Zygmund’s class \(L(\log+L)^ n\). Zbl 0381.42001Fava, N. A.; Gatto, E. A.; Gutierrez, C. 3 1980 all cited Publications top 5 cited Publications all top 5 Cited by 642 Authors 32 Gutiérrez, Cristian E. 23 Maldonado, Diego 13 Le, Nam Q. 13 Torrea, José Luis 12 Di Fazio, Giuseppe 12 Trudinger, Neil Sidney 11 Bao, Jiguang 11 Fanciullo, Maria Stella 11 Sheng, Li 11 Sjogren, Peter 10 Forzani, Liliana 10 Li, An-Min 9 Betancor Perez, Jorge Juan 9 Figalli, Alessio 9 Franchi, Bruno 9 Huang, Qingbo 9 Lanconelli, Ermanno 9 Lin, Chincheng 9 Lu, Guozhen 9 Savin, Ovidiu V. 8 Dai, Limei 8 Montanari, Annamaria 8 Niu, Pengcheng 8 Scotto, Roberto 8 Tang, Lin 8 Tralli, Giulio 8 Wheeden, Richard Lee 7 Bonfiglioli, Andrea 7 Caffarelli, Luis Ángel 7 Liu, Jiakun 7 Mauceri, Giancarlo 7 Neilan, Michael 7 Nguyen, Truyen Van 7 Nowak, Adam 7 Tournier, Federico 7 Wang, Xu-Jia 6 Chen, Bohui 6 Fariña, Juan Carlos 6 Feng, Xiaobing 6 Lee, Ming-Yi 6 Pucci, Patrizia 6 Rodríguez-Mesa, Lourdes 6 Sabra, Ahmad 6 Urbina Romero, Wilfredo O. 5 Abedin, Farhan 5 Calogero, Andrea 5 Ferrari, Fausto 5 Garofalo, Nicola 5 Liu, Liguang 5 Mérigot, Quentin 5 Sawyer, Eric T. 5 Uguzzoni, Francesco 5 Xu, Ruiwei 5 Yang, Dachun 4 Aimar, Hugo A. 4 Awanou, Gerard Michel 4 Capogna, Luca 4 De Philippis, Guido 4 Han, Yazhou 4 Han, Yongsheng 4 Harboure, Eleonor O. 4 Jiang, Feida 4 Kogoj, Alessia Elisabetta 4 Marchi, Claudio 4 Mawi, Henok 4 McCann, Robert J. 4 Meda, Stefano 4 Pérez, Carlos 4 Pini, Rita 4 Sasso, Emanuela 4 Sikora, Adam S. 4 Skrypnik, Igor Igorievich 4 Stinga, Pablo Raúl 4 Thibert, Boris 4 Viviani, Beatriz E. 4 Wang, Bo 4 Zhang, Qian 4 Zhang, Zhijun 4 Zhou, Ziwei 3 Abdellaoui, Boumediene 3 Baldi, Annalisa 3 Balogh, Zoltán M. 3 Battaglia, Erika 3 Braga, J. Ederson M. 3 Castro, Alejandro J. 3 Chang, Qingquan 3 Chen, Zhengmao 3 Chua, Seng-Kee 3 Citti, Giovanna 3 Cruz-Uribe, David Vincente 3 Dalmasso, Estefanía 3 Ding, Yong 3 Dou, Jingbo 3 Dragoni, Federica 3 Felli, Veronica 3 Kim, Young-Heon 3 Kitagawa, Jun 3 Kokonendji, Célestin Clotaire 3 Li, Dandan 3 Li, Hongquan ...and 542 more Authors all top 5 Cited in 170 Serials 42 Journal of Mathematical Analysis and Applications 36 Nonlinear Analysis. Theory, Methods & Applications. 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Mathematica 2 Journal of Inequalities and Applications 2 Annals of Mathematics. Second Series 2 Journal of Evolution Equations 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Complex Variables and Elliptic Equations 2 Analysis & PDE 2 Bulletin of Mathematical Sciences 2 Analysis and Geometry in Metric Spaces 2 Journal of Function Spaces 2 Pure and Applied Analysis 1 Analysis Mathematica 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 Acta Mathematica 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Calcolo 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Publications Mathématiques ...and 70 more Serials all top 5 Cited in 43 Fields 435 Partial differential equations (35-XX) 120 Harmonic analysis on Euclidean spaces (42-XX) 71 Functional analysis (46-XX) 64 Real functions (26-XX) 54 Differential geometry (53-XX) 52 Operator theory (47-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 41 Numerical analysis (65-XX) 29 Optics, electromagnetic theory (78-XX) 25 Potential theory (31-XX) 25 Global analysis, analysis on manifolds (58-XX) 23 Convex and discrete geometry (52-XX) 22 Abstract harmonic analysis (43-XX) 20 Topological groups, Lie groups (22-XX) 16 Several complex variables and analytic spaces (32-XX) 16 Probability theory and stochastic processes (60-XX) 14 Measure and integration (28-XX) 10 Functions of a complex variable (30-XX) 9 Operations research, mathematical programming (90-XX) 7 Algebraic geometry (14-XX) 7 Special functions (33-XX) 5 Integral transforms, operational calculus (44-XX) 5 Quantum theory (81-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 4 Fluid mechanics (76-XX) 3 Approximations and expansions (41-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year