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Gutiérrez, Cristian E.

Author ID: gutierrez.cristian-e Recent zbMATH articles by "Gutiérrez, 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.
all top 5

Co-Authors

14 single-authored
9 Lanconelli, Ermanno
8 Huang, Qingbo
8 Wheeden, Richard Lee
7 Montanari, Annamaria
7 Sabra, Ahmad
7 Sotomayor, Jorge
7 Tournier, Federico
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 Pallucchini, Luca
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 Stachura, Eric
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 PLISKA. Studia Mathematica Bulgarica
1 Optimization
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
1 SpringerBriefs on PDEs and Data Science

Publications by Year

Citations contained in zbMATH Open

79 Publications have been cited 1,270 times in 770 Documents Cited by Year
The Monge-Ampère equation. Zbl 0989.35052
Gutiérrez, Cristian E.
213
2001
Weighted Sobolev-Poincaré inequalities for Grushin type operators. Zbl 0822.46032
Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L.
90
1994
Properties of the solutions of the linearized Monge-Ampère equation. Zbl 0878.35039
Caffarelli, Luis A.; Gutiérrez, Cristian E.
89
1997
Real analysis related to the Monge-Ampère equation. Zbl 0858.35034
Caffarelli, Luis A.; Gutiérrez, Cristian E.
45
1996
The Monge-Ampère equation. 2nd edition. Zbl 1356.35004
Gutiérrez, Cristian E.
44
2016
On the Riesz transforms for Gaussian measures. Zbl 0807.46030
Gutiérrez, Cristian E.
43
1994
Structurally stable configurations of lines of principal curvature. Zbl 0521.53003
Sotomayor, J.; Gutierrez, C.
43
1983
Geometric properties of the sections of solutions to the Monge-Ampère equation. Zbl 0958.35043
Gutiérrez, Cristian E.; Huang, Qingbo
40
2000
Maximum principle, nonhomogeneous Harnack inequality, and Liouville theorems for \(X\)-elliptic operators. Zbl 1064.35036
Gutiérrez, Cristian E.; Lanconelli, Ermanno
36
2003
Harnack’s inequality for degenerate Schrödinger operators. Zbl 0685.35020
Gutierrez, Cristian E.
36
1989
Weak-type estimates for the Riesz transform associated with the Gaussian measure. Zbl 0810.42006
Fabes, Eugene B.; Gutiérrez, Cristian E.; Scotto, Roberto
35
1994
Harnack’s inequality for degenerate parabolic equations. Zbl 0746.35007
Gutiérrez, Christian E.; Wheeden, Richard L.
33
1991
On higher Riesz transforms for Gaussian measures. Zbl 0893.42007
Gutiérrez, Cristian E.; Segovia, Carlos; Torrea, José Luis
27
1996
A generalization of a theorem by Calabi to the parabolic Monge-Ampère equation. Zbl 0926.35053
Gutiérrez, Cristian E.; Huang, Qingbo
27
1998
Riesz transforms, \(g\)-functions, and multipliers for the Laguerre semigroup. Zbl 1004.42017
Gutiérrez, Cristian E.; Incognito, Andrew; Torrea, José Luis
27
2001
Maximum and comparison principles for convex functions on the Heisenberg group. Zbl 1056.35033
Gutiérrez, Cristian E.; Montanari, Annamaria
27
2004
The refractor problem in reshaping light beams. Zbl 1173.78005
Gutiérrez, Cristian E.; Huang, Qingbo
26
2009
The near field refractor. Zbl 1301.78001
Gutiérrez, Cristian E.; Huang, Qingbo
26
2014
Covering theorems, inequalities on metric spaces and applications to PDE’s. Zbl 1149.46029
Di Fazio, Giuseppe; Gutièrrez, Cristian E.; Lanconelli, Ermanno
25
2008
On the regularity of reflector antennas. Zbl 1140.35009
Caffarelli, Luis A.; Gutiíerrez, Cristian E.; Huang, Qingbo
24
2008
Sobolev interpolation inequalities with weights. Zbl 0762.46018
Gutierrez, Christian E.; Wheeden, Richard L.
22
1991
Mean value and Harnack inequalities for degenerate parabolic equations. Zbl 0785.35057
Gutiérrez, Cristian E.; Wheeden, Richard L.
21
1990
An approximation theorem for immersions with stable configurations of lines of principal curvature. Zbl 0528.53002
Gutierrez, C.; Sotomayor, J.
21
1983
On the second order derivatives of convex functions on the Heisenberg group. Zbl 1170.35352
Montanari, Annamaria; Gutiérrez, Cristian E.
16
2004
Two-weight Sobolev-Poincaré inequalities and Harnack inequality for a class of degenerate elliptic operators. Zbl 0811.46023
Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L.
16
1994
On the numerical solution of the far field refractor problem. Zbl 1369.78175
De Leo, Roberto; Gutiérrez, Cristian E.; Mawi, Henok
15
2017
Regularity for the near field parallel refractor and reflector problems. Zbl 1334.78007
Gutiérrez, Cristian E.; Tournier, Federico
15
2015
Interior gradient estimates for solutions to the linearized Monge-Ampère equation. Zbl 1267.35097
Gutiérrez, Cristian E.; Nguyen, Van Truyen
13
2011
\(W^{2,p}\) estimates for the parabolic Monge-Ampère equation. Zbl 0992.35020
Gutiérrez, Cristian E.; Huang, Qingbo
13
2001
The refractor problem with loss of energy. Zbl 1267.78008
Gutiérrez, Cristian E.; Mawi, Henok
12
2013
Bounds for the fundamental solution of degenerate parabolic equations. Zbl 0785.35002
Gutiérrez, Cristian E.; Wheeden, Richard L.
11
1992
Schauder estimates for sub-elliptic equations. Zbl 1239.35039
Gutiérrez, Cristian E.; Lanconelli, Ermanno
11
2009
Weighted inequalities for a vector-valued strong maximal function. Zbl 0676.42018
Capri, Osvaldo N.; Gutiérrez, Cristian E.
11
1988
Homogenization and convergence of correctors in Carnot groups. Zbl 1080.35005
Franchi, Bruno; Gutiérrez, Cristian E.; van Nguyen, Truyen
11
2005
Singular integrals related to the Monge-Ampère equation. Zbl 0881.35034
Caffarelli, Luis A.; Gutiérrez, Cristian E.
10
1997
Bounds for the fundamental solution of degenerate parabolic equations. Zbl 0684.35004
Gutiérrez, Cristian E.; Nelson, Gail S.
10
1988
The parallel refractor. Zbl 1264.78003
Gutiérrez, Cristian E.; Tournier, Federico
9
2013
Interior second derivative estimates for solutions to the linearized Monge-Ampère equation. Zbl 1317.35075
Gutiérrez, Cristian E.; Nguyen, Truyen
9
2015
\(C^{1, \alpha}\) estimates for the parallel refractor. Zbl 1343.78002
Abedin, Farhan; Gutiérrez, Cristian E.; Tralli, Giulio
9
2016
Harnack inequality for a degenerate elliptic equation. Zbl 1260.35063
Gutiérrez, Cristian E.; Tournier, Federico
9
2011
On Monge-Ampère type equations arising in optimal transportation problems. Zbl 1108.49018
Gutiérrez, Cristian E.; van Nguyen, Truyen
8
2007
\(W^{2,p}\)-estimates for the linearized Monge-Ampère equation. Zbl 1210.35026
Gutiérrez, Cristian E.; Tournier, Federico
8
2006
Global injectivity of \(C^1\) maps of the real plane, inseparable leaves and the Palais-Smale condition. Zbl 1131.37026
Gutierrez, C.; Jarque, X.; Llibre, J.; Teixeira, M. A.
8
2007
An iterative method for generated Jacobian equations. Zbl 1376.49037
Abedin, Farhan; Gutiérrez, Cristian E.
8
2017
Fractional integrals on weighted \(H^ p\) spaces. Zbl 0573.42013
Gatto, Angel E.; Gutiérrez, Cristian E.; Wheeden, Richard L.
8
1985
Classical, viscosity and average solutions for PDE’s with nonnegative characteristic form. Zbl 1098.35052
Lanconelli, Ermanno; Guitiérrez, Cristian E.
8
2004
Refraction problems in geometric optics. Zbl 1284.35415
Gutiérrez, Cristian E.
8
2014
Harnack’s inequality for a class of non-divergent equations in the Heisenberg group. Zbl 1391.35153
Abedin, Farhan; Gutiérrez, Cristian E.; Tralli, Giulio
7
2017
Aspherical lens design and imaging. Zbl 1334.35426
Gutiérrez, Cristian E.; Sabra, Ahmad
7
2016
On weighted norm inequalities for the maximal function. Zbl 0536.42021
Gatto, Angel E.; Gutiérrez, Cristian E.
7
1983
Freeform lens design for scattering data with general radiant fields. Zbl 1393.78002
Gutiérrez, Cristian E.; Sabra, Ahmad
6
2018
Principal lines on surfaces immersed with constant mean curvature. Zbl 0598.53007
Gutiérrez, C.; Sotomayor, J.
6
1986
Estimates for the maximal operator of the Ornstein-Uhlenbeck semigroup. Zbl 0737.42019
Gutiérrez, Cristian E.; Urbina, Wilfredo O.
6
1991
Configurations of lines of principal curvature and their bifurcations. Zbl 0587.58026
Sotomayor, J.; Gutiérrez, C.
6
1985
Periodic lines of curvature bifurcating from Darbouxian umbilical connections. Zbl 0714.34057
Gutierrez, C.; Sotomayor, J.
5
1990
On a Loewner umbilic-index conjecture for surfaces immersed in \({\mathbb{R}}^4\). Zbl 0942.53009
Gutierrez, C.; Sánchez-Bringas, F.
5
1998
The reflector problem and the inverse square law. Zbl 1283.35136
Gutiérrez, Cristian E.; Sabra, Ahmad
5
2014
Homogenization of quasilinear parabolic equations in periodic media. Zbl 1073.35022
García-Azorero, J.; Gutiérrez, C. E.; Peral, I.
4
2003
Bethe-Salpeter bound-state structure in Minkowski space. Zbl 1367.81067
Gutierrez, C.; Gigante, V.; Frederico, T.; Salmè, G.; Viviani, M.; Tomio, Lauro
4
2016
Limiting genotype frequencies of Y-linked genes through bisexual branching processes with blind choice. Zbl 1405.92157
Alsmeyer, G.; Gutiérrez, C.; Martínez, R.
4
2011
Closed principal lines and bifurcation. Zbl 0608.53003
Gutierrez, C.; Sotomayor, J.
4
1986
Refractors in anisotropic media associated with norms. Zbl 1435.78002
Gutiérrez, Cristian E.; Huang, Qingbo; Mawi, Henok
3
2019
Nonsmooth hypersurfaces with smooth Levi curvature. Zbl 1255.35115
Gutiérrez, Cristian E.; Lanconelli, Ermanno; Montanari, Annamaria
3
2013
Pointwise estimates for solutions of degenerate parabolic equations. Zbl 0788.35074
Gutiérrez, Cristian E.
3
1991
A harmonic analysis theorem and applications to homogenization. Zbl 1022.43002
Gutiérrez, Cristian E.; Peral, Ireneo
3
2001
Extinction conditions for Y-linked mutant-alleles through two-sex branching processes with blind-mating structure. Zbl 1337.92141
González, M.; Gutiérrez, C.; Martínez, R.
3
2012
Principal lines on surfaces minimally immersed in constantly curved 4- spaces. Zbl 0633.53010
Guadalupe, I.; Gutierrez, C.; Sotomayor, J.; Tribuzy, Renato
3
1987
On the strong maximal function and Zygmund’s class \(L(\log+L)^ n\). Zbl 0381.42001
Fava, N. A.; Gatto, E. A.; Gutierrez, C.
3
1980
Sobolev inequalities with jointly concave weights on convex cones. Zbl 1469.35007
Balogh, Zoltán M.; Gutiérrez, Cristian E.; Kristály, Alexandru
3
2021
The near field refractor. Zbl 1183.78006
Gutiérrez, Cristian E.
2
2008
Affine interval exchange transformations with flips and wandering intervals. Zbl 1170.37020
Gutierrez, C.; Lloyd, S.; Pires, B.
2
2009
Ovaloids of \(\mathbb{R}^3\) and their umbilics: A differential equation approach. Zbl 0994.53002
Garcia, Ronaldo; Gutierrez, C.
2
2000
Local near field refractors and reflectors. Zbl 1295.78006
Gutiérrez, Cristian E.; Tournier, Federico
2
2014
Rank-1 codimension one singularities of positive quadratic differential forms. Zbl 1055.37058
Guíñez, V.; Gutierrez, C.
2
2004
Optimality conditions for weak solutions of vector optimization problems through quasi interiors and improvement sets. Zbl 1473.90151
Gutiérrez, C.
2
2019
Differential stability properties in convex scalar and vector optimization. Zbl 1481.49019
An, D. T. V.; Gutiérrez, C.
2
2021
Positive quadratic differential forms: Topological equivalence through Newton polyhedra. Zbl 1130.37343
Gutierrez, C.; Oliveira, R. D. S.; Teixeira, M. A.
1
2006
Regularity of weak solutions to the Monge-Ampère equation. Zbl 1088.35012
Gutiérrez, Cristian E.; Hartenstine, David
1
2003
Chromatic aberration in metalenses. Zbl 1475.78004
Gutiérrez, Cristian E.; Sabra, Ahmad
1
2021
Sobolev inequalities with jointly concave weights on convex cones. Zbl 1469.35007
Balogh, Zoltán M.; Gutiérrez, Cristian E.; Kristály, Alexandru
3
2021
Differential stability properties in convex scalar and vector optimization. Zbl 1481.49019
An, D. T. V.; Gutiérrez, C.
2
2021
Chromatic aberration in metalenses. Zbl 1475.78004
Gutiérrez, Cristian E.; Sabra, Ahmad
1
2021
Refractors in anisotropic media associated with norms. Zbl 1435.78002
Gutiérrez, Cristian E.; Huang, Qingbo; Mawi, Henok
3
2019
Optimality conditions for weak solutions of vector optimization problems through quasi interiors and improvement sets. Zbl 1473.90151
Gutiérrez, C.
2
2019
Freeform lens design for scattering data with general radiant fields. Zbl 1393.78002
Gutiérrez, Cristian E.; Sabra, Ahmad
6
2018
On the numerical solution of the far field refractor problem. Zbl 1369.78175
De Leo, Roberto; Gutiérrez, Cristian E.; Mawi, Henok
15
2017
An iterative method for generated Jacobian equations. Zbl 1376.49037
Abedin, Farhan; Gutiérrez, Cristian E.
8
2017
Harnack’s inequality for a class of non-divergent equations in the Heisenberg group. Zbl 1391.35153
Abedin, Farhan; Gutiérrez, Cristian E.; Tralli, Giulio
7
2017
The Monge-Ampère equation. 2nd edition. Zbl 1356.35004
Gutiérrez, Cristian E.
44
2016
\(C^{1, \alpha}\) estimates for the parallel refractor. Zbl 1343.78002
Abedin, Farhan; Gutiérrez, Cristian E.; Tralli, Giulio
9
2016
Aspherical lens design and imaging. Zbl 1334.35426
Gutiérrez, Cristian E.; Sabra, Ahmad
7
2016
Bethe-Salpeter bound-state structure in Minkowski space. Zbl 1367.81067
Gutierrez, C.; Gigante, V.; Frederico, T.; Salmè, G.; Viviani, M.; Tomio, Lauro
4
2016
Regularity for the near field parallel refractor and reflector problems. Zbl 1334.78007
Gutiérrez, Cristian E.; Tournier, Federico
15
2015
Interior second derivative estimates for solutions to the linearized Monge-Ampère equation. Zbl 1317.35075
Gutiérrez, Cristian E.; Nguyen, Truyen
9
2015
The near field refractor. Zbl 1301.78001
Gutiérrez, Cristian E.; Huang, Qingbo
26
2014
Refraction problems in geometric optics. Zbl 1284.35415
Gutiérrez, Cristian E.
8
2014
The reflector problem and the inverse square law. Zbl 1283.35136
Gutiérrez, Cristian E.; Sabra, Ahmad
5
2014
Local near field refractors and reflectors. Zbl 1295.78006
Gutiérrez, Cristian E.; Tournier, Federico
2
2014
The refractor problem with loss of energy. Zbl 1267.78008
Gutiérrez, Cristian E.; Mawi, Henok
12
2013
The parallel refractor. Zbl 1264.78003
Gutiérrez, Cristian E.; Tournier, Federico
9
2013
Nonsmooth hypersurfaces with smooth Levi curvature. Zbl 1255.35115
Gutiérrez, Cristian E.; Lanconelli, Ermanno; Montanari, Annamaria
3
2013
Extinction conditions for Y-linked mutant-alleles through two-sex branching processes with blind-mating structure. Zbl 1337.92141
González, M.; Gutiérrez, C.; Martínez, R.
3
2012
Interior gradient estimates for solutions to the linearized Monge-Ampère equation. Zbl 1267.35097
Gutiérrez, Cristian E.; Nguyen, Van Truyen
13
2011
Harnack inequality for a degenerate elliptic equation. Zbl 1260.35063
Gutiérrez, Cristian E.; Tournier, Federico
9
2011
Limiting genotype frequencies of Y-linked genes through bisexual branching processes with blind choice. Zbl 1405.92157
Alsmeyer, G.; Gutiérrez, C.; Martínez, R.
4
2011
The refractor problem in reshaping light beams. Zbl 1173.78005
Gutiérrez, Cristian E.; Huang, Qingbo
26
2009
Schauder estimates for sub-elliptic equations. Zbl 1239.35039
Gutiérrez, Cristian E.; Lanconelli, Ermanno
11
2009
Affine interval exchange transformations with flips and wandering intervals. Zbl 1170.37020
Gutierrez, C.; Lloyd, S.; Pires, B.
2
2009
Covering theorems, inequalities on metric spaces and applications to PDE’s. Zbl 1149.46029
Di Fazio, Giuseppe; Gutièrrez, Cristian E.; Lanconelli, Ermanno
25
2008
On the regularity of reflector antennas. Zbl 1140.35009
Caffarelli, Luis A.; Gutiíerrez, Cristian E.; Huang, Qingbo
24
2008
The near field refractor. Zbl 1183.78006
Gutiérrez, Cristian E.
2
2008
On Monge-Ampère type equations arising in optimal transportation problems. Zbl 1108.49018
Gutiérrez, 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 1131.37026
Gutierrez, C.; Jarque, X.; Llibre, J.; Teixeira, M. A.
8
2007
\(W^{2,p}\)-estimates for the linearized Monge-Ampère equation. Zbl 1210.35026
Gutiérrez, Cristian E.; Tournier, Federico
8
2006
Positive quadratic differential forms: Topological equivalence through Newton polyhedra. Zbl 1130.37343
Gutierrez, C.; Oliveira, R. D. S.; Teixeira, M. A.
1
2006
Homogenization and convergence of correctors in Carnot groups. Zbl 1080.35005
Franchi, Bruno; Gutiérrez, Cristian E.; van Nguyen, Truyen
11
2005
Maximum and comparison principles for convex functions on the Heisenberg group. Zbl 1056.35033
Gutiérrez, Cristian E.; Montanari, Annamaria
27
2004
On the second order derivatives of convex functions on the Heisenberg group. Zbl 1170.35352
Montanari, Annamaria; Gutiérrez, Cristian E.
16
2004
Classical, viscosity and average solutions for PDE’s with nonnegative characteristic form. Zbl 1098.35052
Lanconelli, Ermanno; Guitiérrez, Cristian E.
8
2004
Rank-1 codimension one singularities of positive quadratic differential forms. Zbl 1055.37058
Guíñez, V.; Gutierrez, C.
2
2004
Maximum principle, nonhomogeneous Harnack inequality, and Liouville theorems for \(X\)-elliptic operators. Zbl 1064.35036
Gutiérrez, Cristian E.; Lanconelli, Ermanno
36
2003
Homogenization of quasilinear parabolic equations in periodic media. Zbl 1073.35022
García-Azorero, J.; Gutiérrez, C. E.; Peral, I.
4
2003
Regularity of weak solutions to the Monge-Ampère equation. Zbl 1088.35012
Gutiérrez, Cristian E.; Hartenstine, David
1
2003
The Monge-Ampère equation. Zbl 0989.35052
Gutiérrez, Cristian E.
213
2001
Riesz transforms, \(g\)-functions, and multipliers for the Laguerre semigroup. Zbl 1004.42017
Gutiérrez, Cristian E.; Incognito, Andrew; Torrea, José Luis
27
2001
\(W^{2,p}\) estimates for the parabolic Monge-Ampère equation. Zbl 0992.35020
Gutiérrez, Cristian E.; Huang, Qingbo
13
2001
A harmonic analysis theorem and applications to homogenization. Zbl 1022.43002
Gutiérrez, Cristian E.; Peral, Ireneo
3
2001
Geometric properties of the sections of solutions to the Monge-Ampère equation. Zbl 0958.35043
Gutiérrez, Cristian E.; Huang, Qingbo
40
2000
Ovaloids of \(\mathbb{R}^3\) and their umbilics: A differential equation approach. Zbl 0994.53002
Garcia, Ronaldo; Gutierrez, C.
2
2000
A generalization of a theorem by Calabi to the parabolic Monge-Ampère equation. Zbl 0926.35053
Gutiérrez, Cristian E.; Huang, Qingbo
27
1998
On a Loewner umbilic-index conjecture for surfaces immersed in \({\mathbb{R}}^4\). Zbl 0942.53009
Gutierrez, C.; Sánchez-Bringas, F.
5
1998
Properties of the solutions of the linearized Monge-Ampère equation. Zbl 0878.35039
Caffarelli, Luis A.; Gutiérrez, Cristian E.
89
1997
Singular integrals related to the Monge-Ampère equation. Zbl 0881.35034
Caffarelli, Luis A.; Gutiérrez, Cristian E.
10
1997
Real analysis related to the Monge-Ampère equation. Zbl 0858.35034
Caffarelli, Luis A.; Gutiérrez, Cristian E.
45
1996
On higher Riesz transforms for Gaussian measures. Zbl 0893.42007
Gutiérrez, Cristian E.; Segovia, Carlos; Torrea, José Luis
27
1996
Weighted Sobolev-Poincaré inequalities for Grushin type operators. Zbl 0822.46032
Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L.
90
1994
On the Riesz transforms for Gaussian measures. Zbl 0807.46030
Gutiérrez, Cristian E.
43
1994
Weak-type estimates for the Riesz transform associated with the Gaussian measure. Zbl 0810.42006
Fabes, Eugene B.; Gutiérrez, Cristian E.; Scotto, Roberto
35
1994
Two-weight Sobolev-Poincaré inequalities and Harnack inequality for a class of degenerate elliptic operators. Zbl 0811.46023
Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L.
16
1994
Bounds for the fundamental solution of degenerate parabolic equations. Zbl 0785.35002
Gutiérrez, Cristian E.; Wheeden, Richard L.
11
1992
Harnack’s inequality for degenerate parabolic equations. Zbl 0746.35007
Gutiérrez, Christian E.; Wheeden, Richard L.
33
1991
Sobolev interpolation inequalities with weights. Zbl 0762.46018
Gutierrez, Christian E.; Wheeden, Richard L.
22
1991
Estimates for the maximal operator of the Ornstein-Uhlenbeck semigroup. Zbl 0737.42019
Gutiérrez, Cristian E.; Urbina, Wilfredo O.
6
1991
Pointwise estimates for solutions of degenerate parabolic equations. Zbl 0788.35074
Gutiérrez, Cristian E.
3
1991
Mean value and Harnack inequalities for degenerate parabolic equations. Zbl 0785.35057
Gutiérrez, Cristian E.; Wheeden, Richard L.
21
1990
Periodic lines of curvature bifurcating from Darbouxian umbilical connections. Zbl 0714.34057
Gutierrez, C.; Sotomayor, J.
5
1990
Harnack’s inequality for degenerate Schrödinger operators. Zbl 0685.35020
Gutierrez, Cristian E.
36
1989
Weighted inequalities for a vector-valued strong maximal function. Zbl 0676.42018
Capri, Osvaldo N.; Gutiérrez, Cristian E.
11
1988
Bounds for the fundamental solution of degenerate parabolic equations. Zbl 0684.35004
Gutiérrez, Cristian E.; Nelson, Gail S.
10
1988
Principal lines on surfaces minimally immersed in constantly curved 4- spaces. Zbl 0633.53010
Guadalupe, I.; Gutierrez, C.; Sotomayor, J.; Tribuzy, Renato
3
1987
Principal lines on surfaces immersed with constant mean curvature. Zbl 0598.53007
Gutiérrez, C.; Sotomayor, J.
6
1986
Closed principal lines and bifurcation. Zbl 0608.53003
Gutierrez, C.; Sotomayor, J.
4
1986
Fractional integrals on weighted \(H^ p\) spaces. Zbl 0573.42013
Gatto, Angel E.; Gutiérrez, Cristian E.; Wheeden, Richard L.
8
1985
Configurations of lines of principal curvature and their bifurcations. Zbl 0587.58026
Sotomayor, J.; Gutiérrez, C.
6
1985
Structurally stable configurations of lines of principal curvature. Zbl 0521.53003
Sotomayor, J.; Gutierrez, C.
43
1983
An approximation theorem for immersions with stable configurations of lines of principal curvature. Zbl 0528.53002
Gutierrez, C.; Sotomayor, J.
21
1983
On weighted norm inequalities for the maximal function. Zbl 0536.42021
Gatto, Angel E.; Gutiérrez, Cristian E.
7
1983
On the strong maximal function and Zygmund’s class \(L(\log+L)^ n\). Zbl 0381.42001
Fava, N. A.; Gatto, E. A.; Gutierrez, C.
3
1980
all top 5

Cited by 749 Authors

34 Gutiérrez, Cristian E.
16 Le, Nam Q.
15 Bao, Jiguang
15 Di Fazio, Giuseppe
14 Fanciullo, Maria Stella
14 Torrea, José Luis
13 Betancor Perez, Jorge Juan
13 Trudinger, Neil Sidney
11 Neilan, Michael
11 Sheng, Li
11 Sjogren, Peter
10 Figalli, Alessio
10 Forzani, Liliana
10 Lanconelli, Ermanno
10 Li, An-Min
10 Savin, Ovidiu V.
9 Dai, Limei
9 Franchi, Bruno
9 Huang, Qingbo
9 Lin, Chincheng
9 Lu, Guozhen
9 Montanari, Annamaria
9 Tang, Lin
9 Wang, Xu-Jia
8 Bonfiglioli, Andrea
8 Caffarelli, Luis Ángel
8 Liu, Jiakun
8 Niu, Pengcheng
8 Rodríguez-Mesa, Lourdes
8 Scotto, Roberto
8 Tralli, Giulio
8 Wheeden, Richard Lee
7 Fariña, Juan Carlos
7 Feng, Xiaobing
7 Ferrari, Fausto
7 Mauceri, Giancarlo
7 Nguyen, Truyen Van
7 Nowak, Adam
7 Sabra, Ahmad
7 Tournier, Federico
6 Awanou, Gerard Michel
6 Calogero, Andrea
6 Chen, Bohui
6 Jiang, Feida
6 Lee, Ming-Yi
6 Maldonado, Diego
6 Pucci, Patrizia
6 Uguzzoni, Francesco
6 Urbina Romero, Wilfredo O.
6 Xu, Ruiwei
6 Zamboni, Pietro
5 Abedin, Farhan
5 Charro, Fernando
5 De Philippis, Guido
5 Garofalo, Nicola
5 Jian, Huai-Yu
5 Kogoj, Alessia Elisabetta
5 Liu, Liguang
5 Manfredi, Juan J.
5 Mérigot, Quentin
5 Nochetto, Ricardo Horacio
5 Paronetto, Fabio
5 Pini, Rita
5 Sawyer, Eric T.
5 Yang, Dachun
5 Zhou, Ziwei
4 Aimar, Hugo A.
4 Capogna, Luca
4 Castro, Alejandro J.
4 Citti, Giovanna
4 Cruz-Uribe, David Vincente
4 Dinew, Sławomir
4 Dragoni, Federica
4 Han, Yazhou
4 Han, Yongsheng
4 Harboure, Eleonor
4 Liu, Hairong
4 Maione, Alberto
4 Mamedov, Farman Imran
4 Marchi, Claudio
4 Mawi, Henok
4 McCann, Robert J.
4 Meda, Stefano
4 Mooney, Connor
4 Pérez, Carlos
4 Saloff-Coste, Laurent
4 Seppi, Andrea
4 Sikora, Adam
4 Skrypnik, Igor Igorievich
4 Stinga, Pablo Raúl
4 Thibert, Boris
4 Viviani, Beatriz E.
4 Wang, Bo
4 Xiong, Jingang
4 Xue, Qingying
4 Yang, Xiaoping
4 Zhang, Qian
4 Zhang, Wujun
4 Zhang, Zhijun
3 Abdellaoui, Boumediene
...and 649 more Authors
all top 5

Cited in 197 Serials

44 Journal of Mathematical Analysis and Applications
41 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
37 Journal of Functional Analysis
36 Journal of Differential Equations
35 Calculus of Variations and Partial Differential Equations
24 Potential Analysis
22 Proceedings of the American Mathematical Society
22 Transactions of the American Mathematical Society
17 Advances in Mathematics
16 Communications in Partial Differential Equations
15 The Journal of Geometric Analysis
12 Archive for Rational Mechanics and Analysis
11 Mathematische Zeitschrift
11 Communications on Pure and Applied Analysis
10 Mathematics of Computation
10 Journal of Scientific Computing
9 Journal d’Analyse Mathématique
9 Discrete and Continuous Dynamical Systems
9 Acta Mathematica Sinica. English Series
8 Manuscripta Mathematica
8 Mathematische Annalen
8 Numerische Mathematik
8 Results in Mathematics
8 The Journal of Fourier Analysis and Applications
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Revista Matemática Iberoamericana
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Communications in Contemporary Mathematics
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
5 Communications on Pure and Applied Mathematics
5 Annales de l’Institut Fourier
5 SIAM Journal on Numerical Analysis
5 International Journal of Mathematics
5 SIAM Journal on Mathematical Analysis
5 Journal of Mathematical Sciences (New York)
5 Boundary Value Problems
4 Bulletin of the Australian Mathematical Society
4 Journal of Computational Physics
4 Bulletin des Sciences Mathématiques
4 Journal of the European Mathematical Society (JEMS)
4 Analysis in Theory and Applications
4 Mathematics in Engineering
3 Applicable Analysis
3 Computers & Mathematics with Applications
3 Israel Journal of Mathematics
3 Studia Mathematica
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Tôhoku Mathematical Journal. Second Series
3 Chinese Annals of Mathematics. Series B
3 Acta Applicandae Mathematicae
3 SIAM Journal on Scientific Computing
3 St. Petersburg Mathematical Journal
3 NoDEA. Nonlinear Differential Equations and Applications
3 Journal of Convex Analysis
3 Journal of Evolution Equations
3 Advanced Nonlinear Studies
2 Communications in Mathematical Physics
2 Rocky Mountain Journal of Mathematics
2 Arkiv för Matematik
2 Indiana University Mathematics Journal
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Nachrichten
2 Memoirs of the American Mathematical Society
2 Monatshefte für Mathematik
2 Nagoya Mathematical Journal
2 Pacific Journal of Mathematics
2 Revista de la Unión Matemática Argentina
2 Advances in Applied Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Annals of Global Analysis and Geometry
2 Forum Mathematicum
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Expositiones Mathematicae
2 Electronic Journal of Differential Equations (EJDE)
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Journal of Inequalities and Applications
2 Annals of Mathematics. Second Series
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 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
2 Discrete and Continuous Dynamical Systems. Series S
2 Advances in Calculus of Variations
2 Analysis & PDE
2 Bulletin of Mathematical Sciences
2 Analysis and Geometry in Metric Spaces
2 Advances in Nonlinear Analysis
2 Journal of Function Spaces
2 Annals of PDE
2 Minimax Theory and its Applications
2 Pure and Applied Analysis
1 American Mathematical Monthly
1 Analysis Mathematica
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
...and 97 more Serials
all top 5

Cited in 44 Fields

523 Partial differential equations (35-XX)
136 Harmonic analysis on Euclidean spaces (42-XX)
81 Functional analysis (46-XX)
73 Real functions (26-XX)
63 Operator theory (47-XX)
62 Differential geometry (53-XX)
60 Numerical analysis (65-XX)
52 Calculus of variations and optimal control; optimization (49-XX)
33 Optics, electromagnetic theory (78-XX)
27 Global analysis, analysis on manifolds (58-XX)
26 Potential theory (31-XX)
26 Convex and discrete geometry (52-XX)
23 Abstract harmonic analysis (43-XX)
22 Topological groups, Lie groups (22-XX)
21 Several complex variables and analytic spaces (32-XX)
21 Probability theory and stochastic processes (60-XX)
16 Measure and integration (28-XX)
12 Functions of a complex variable (30-XX)
10 Special functions (33-XX)
9 Operations research, mathematical programming (90-XX)
8 Algebraic geometry (14-XX)
6 Integral transforms, operational calculus (44-XX)
5 Difference and functional equations (39-XX)
5 Integral equations (45-XX)
5 Fluid mechanics (76-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Mechanics of deformable solids (74-XX)
4 Quantum theory (81-XX)
3 Approximations and expansions (41-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 Ordinary differential equations (34-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 Systems theory; control (93-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-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)

Citations by Year