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## Guillen, Nestor

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 Author ID: guillen.nestor Published as: Guillen, Nestor External Links: MGP
 Documents Indexed: 18 Publications since 2009
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#### Co-Authors

 2 single-authored 7 Schwab, Russell W. 3 Kitagawa, Jun 2 Gualdani, Maria Pia 1 Abrishami, Tara 1 Bertozzi, Andrea Louise 1 Chang-Lara, Héctor A. 1 Kim, Inwon Christina 1 McCann, Robert J. 1 Mou, Chenchen 1 Osting, Braxton 1 Rule, Parker 1 Schutzman, Zachary 1 Solomon, Justin 1 Świȩch, Andrzej 1 Van Gennip, Yves 1 Weighill, Thomas 1 Wu, Si
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#### Serials

 4 Calculus of Variations and Partial Differential Equations 2 Archive for Rational Mechanics and Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Communications on Pure and Applied Mathematics 1 Transactions of the American Mathematical Society 1 SIAM Journal on Mathematical Analysis 1 Notices of the American Mathematical Society 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Discrete and Continuous Dynamical Systems 1 Milan Journal of Mathematics 1 Analysis & PDE
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#### Fields

 17 Partial differential equations (35-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

14 Publications have been cited 126 times in 114 Documents Cited by Year
Mean curvature, threshold dynamics, and phase field theory on finite graphs. Zbl 1325.35245
van Gennip, Yves; Guillen, Nestor; Osting, Braxton; Bertozzi, Andrea L.
2014
Aleksandrov-Bakelman-Pucci type estimates for integro-differential equations. Zbl 1256.35190
Guillen, Nestor; Schwab, Russell W.
2012
Optimal regularity for the Signorini problem. Zbl 1180.35579
Guillen, Nestor
2009
Five lectures on optimal transportation: geometry, regularity and applications. Zbl 1271.49034
McCann, Robert J.; Guillen, Nestor
2013
Estimates for radial solutions of the homogeneous Landau equation with Coulomb potential. Zbl 1378.35325
Gualdani, Maria; Guillen, Nestor
2016
Pointwise estimates and regularity in geometric optics and other generated Jacobian equations. Zbl 1375.35234
Guillen, Nestor; Kitagawa, Jun
2017
On $$A_p$$ weights and the Landau equation. Zbl 1404.35078
Gualdani, Maria; Guillen, Nestor
2019
Neumann homogenization via integro-differential operators. Zbl 1343.35020
Guillen, Nestor; Schwab, Russell W.
2016
On the local geometry of maps with c-convex potentials. Zbl 1309.35038
Guillen, Nestor; Kitagawa, Jun
2015
Some free boundary problems recast as nonlocal parabolic equations. Zbl 1427.35370
Chang-Lara, Héctor A.; Guillen, Nestor; Schwab, Russell W.
2019
Min-max formulas for nonlocal elliptic operators. Zbl 1429.35108
Guillen, Nestor; Schwab, Russell W.
2019
A primer on generated Jacobian equations: geometry, optics, economics. Zbl 1435.35367
Guillen, Nestor
2019
Coupling Lévy measures and comparison principles for viscosity solutions. Zbl 1428.35080
Guillen, Nestor; Mou, Chenchen; Świȩch, Andrzej
2019
Neumann homogenization via integro-differential operators. II: Singular gradient dependence. Zbl 1407.35021
Guillen, Nestor; Schwab, Russell W.
2018
On $$A_p$$ weights and the Landau equation. Zbl 1404.35078
Gualdani, Maria; Guillen, Nestor
2019
Some free boundary problems recast as nonlocal parabolic equations. Zbl 1427.35370
Chang-Lara, Héctor A.; Guillen, Nestor; Schwab, Russell W.
2019
Min-max formulas for nonlocal elliptic operators. Zbl 1429.35108
Guillen, Nestor; Schwab, Russell W.
2019
A primer on generated Jacobian equations: geometry, optics, economics. Zbl 1435.35367
Guillen, Nestor
2019
Coupling Lévy measures and comparison principles for viscosity solutions. Zbl 1428.35080
Guillen, Nestor; Mou, Chenchen; Świȩch, Andrzej
2019
Neumann homogenization via integro-differential operators. II: Singular gradient dependence. Zbl 1407.35021
Guillen, Nestor; Schwab, Russell W.
2018
Pointwise estimates and regularity in geometric optics and other generated Jacobian equations. Zbl 1375.35234
Guillen, Nestor; Kitagawa, Jun
2017
Estimates for radial solutions of the homogeneous Landau equation with Coulomb potential. Zbl 1378.35325
Gualdani, Maria; Guillen, Nestor
2016
Neumann homogenization via integro-differential operators. Zbl 1343.35020
Guillen, Nestor; Schwab, Russell W.
2016
On the local geometry of maps with c-convex potentials. Zbl 1309.35038
Guillen, Nestor; Kitagawa, Jun
2015
Mean curvature, threshold dynamics, and phase field theory on finite graphs. Zbl 1325.35245
van Gennip, Yves; Guillen, Nestor; Osting, Braxton; Bertozzi, Andrea L.
2014
Five lectures on optimal transportation: geometry, regularity and applications. Zbl 1271.49034
McCann, Robert J.; Guillen, Nestor
2013
Aleksandrov-Bakelman-Pucci type estimates for integro-differential equations. Zbl 1256.35190
Guillen, Nestor; Schwab, Russell W.
2012
Optimal regularity for the Signorini problem. Zbl 1180.35579
Guillen, Nestor
2009
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#### Cited by 182 Authors

 9 Guillen, Nestor 7 Schwab, Russell W. 6 Bertozzi, Andrea Louise 6 Van Gennip, Yves 5 McCann, Robert J. 4 Osting, Braxton 3 Abedin, Farhan 3 Bae, Egil 3 Caffarelli, Luis Ángel 3 Gualdani, Maria Pia 3 Gutiérrez, Cristian E. 3 Kitagawa, Jun 3 Merkurjev, Ekaterina 3 Mou, Chenchen 3 Rüland, Angkana 3 Schönlieb, Carola-Bibiane 3 Shi, Wenhui 2 Boyd, Zachary M. 2 Chang-Lara, Héctor A. 2 Cui, Xuewei 2 dos Prazeres, Disson 2 Drouet, Guillaume 2 Elmoataz, Abderrahim 2 Esedoglu, Selim 2 Figalli, Alessio 2 Flenner, Arjuna 2 Garofalo, Nicola 2 Hild, Patrick 2 Hwang, Hyung Ju 2 Imbert, Cyril 2 Jacobs, Matthew 2 Jang, Jin Woo 2 Jiang, Feida 2 Koch, Herbert 2 Korman, Jonathan 2 Savin, Ovidiu V. 2 Snelson, Stanley 2 Strain, Robert M. 2 Świȩch, Andrzej 2 Tai, Xuecheng 2 Tenbrinck, Daniel 2 Tralli, Giulio 2 Wang, Ying 2 Wolansky, Gershon 2 Zamponi, Nicola 2 Zhang, Yuming Paul 2 Zosso, Dominique 1 Abrishami, Tara 1 Alazard, Thomas 1 An, Jing 1 Anthonissen, Martijn Johannes Hermanus 1 Apushkinskaya, Darya E. 1 Aujol, Jean-François 1 Barbaresco, Frédéric 1 Barles, Guy 1 Bergmann, Ronny 1 Biswas, Anup 1 Bosch, Jessica 1 Brézis, Haïm 1 Budd, Jeremy 1 Buet, Blanche 1 Calatroni, Luca 1 Cao, Huanhuan 1 Carl, Siegfried 1 Charro, Fernando 1 Chasseigne, Emmanuel 1 Chen, Ping 1 Chen, Shibing 1 Choksi, Rustum 1 Ciomaga, Adina 1 Coskunuzer, Baris 1 Dávila, Gonzalo 1 De Philippis, Guido 1 De Silva, Daniela 1 Desquesnes, Xavier 1 Desquilbet, François 1 Doledenok, A. N. 1 Dong, Hongjie 1 Dréo, Johann 1 Feldman, William M. 1 Felmer, Patricio L. 1 Felsinger, Matthieu 1 Fernández-Real, Xavier 1 Focardi, Matteo 1 Furtsev, Alekseĭ Igor’evich 1 Gardiner, Stephen J. 1 Ghergu, Marius 1 Gilboa, Guy 1 Gladkov, Nikita A. 1 Guo, Yan 1 Henderson, Christopher 1 Jhaveri, Yash 1 Jin, Tianling 1 Jzerman, W. L. 1 Karakhanyan, Aram L. 1 Kassmann, Moritz 1 Kim, Doyoon 1 Kim, Young-Heon 1 Kitano, Shuhei 1 Klamt, Steffen ...and 82 more Authors
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#### Cited in 55 Serials

 10 Calculus of Variations and Partial Differential Equations 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Archive for Rational Mechanics and Analysis 6 SIAM Journal on Mathematical Analysis 5 Journal of Differential Equations 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Advances in Mathematics 3 Journal of Functional Analysis 3 Communications in Partial Differential Equations 3 SIAM Journal on Applied Mathematics 3 Journal of Mathematical Imaging and Vision 3 Discrete and Continuous Dynamical Systems 3 Inverse Problems and Imaging 2 SIAM Journal on Numerical Analysis 2 Transactions of the American Mathematical Society 2 European Journal of Applied Mathematics 2 Journal of Nonlinear Science 2 Potential Analysis 2 SIAM Journal on Scientific Computing 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annals of PDE 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Duke Mathematical Journal 1 Journal of Optimization Theory and Applications 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Milan Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Mathematics and Financial Economics 1 SIAM Journal on Imaging Sciences 1 Advances in Calculus of Variations 1 Analysis & PDE 1 EMS Surveys in Mathematical Sciences 1 SMAI Journal of Computational Mathematics 1 SN Partial Differential Equations and Applications
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#### Cited in 29 Fields

 84 Partial differential equations (35-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 19 Numerical analysis (65-XX) 12 Operator theory (47-XX) 12 Computer science (68-XX) 9 Operations research, mathematical programming (90-XX) 8 Integral equations (45-XX) 8 Probability theory and stochastic processes (60-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Combinatorics (05-XX) 6 Differential geometry (53-XX) 6 Information and communication theory, circuits (94-XX) 5 Statistics (62-XX) 5 Optics, electromagnetic theory (78-XX) 5 Systems theory; control (93-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 3 Ordinary differential equations (34-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of deformable solids (74-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX)