Caffarelli, Luis A.; Soria-Carro, María On a family of fully nonlinear integrodifferential operators: from fractional Laplacian to nonlocal Monge-Ampère. (English) Zbl 07807514 Anal. PDE 17, No. 1, 243-279 (2024). MSC: 35J60 35J96 35R11 45K05 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{M. Soria-Carro}, Anal. PDE 17, No. 1, 243--279 (2024; Zbl 07807514) Full Text: DOI arXiv
Dundas, Bjørn Ian; Skau, Christian F. [Caffarelli, Luis Ángel] Abel interview 2023: Luis Ángel Caffarelli. (English) Zbl 1521.01028 Eur. Math. Soc. Mag. 129, 20-24 (2023). MSC: 01A70 PDFBibTeX XMLCite \textit{B. I. Dundas} and \textit{C. F. Skau}, Eur. Math. Soc. Mag. 129, 20--24 (2023; Zbl 1521.01028) Full Text: DOI
Caffarelli, Luis A.; Tomasetti, Ignacio Fully nonlinear equations with applications to Grad equations in plasma physics. (English) Zbl 07748336 Commun. Pure Appl. Math. 76, No. 3, 604-615 (2023). Reviewer: Peter Lindqvist (Trondheim) MSC: 35D40 35Q40 35J60 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{I. Tomasetti}, Commun. Pure Appl. Math. 76, No. 3, 604--615 (2023; Zbl 07748336) Full Text: DOI arXiv
Caffarelli, Luis A.; Yuan, Yu Singular solutions to Monge-Ampère equation. (English) Zbl 1513.35274 Anal. Theory Appl. 38, No. 2, 121-127 (2022). MSC: 35J96 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{Y. Yuan}, Anal. Theory Appl. 38, No. 2, 121--127 (2022; Zbl 1513.35274) Full Text: DOI
Athanasopoulos, Ioannis; Caffarelli, Luis; Milakis, Emmanouil The two-phase Stefan problem with anomalous diffusion. (English) Zbl 1495.35176 Adv. Math. 406, Article ID 108527, 19 p. (2022). MSC: 35R09 35R11 35R35 45K05 80A22 PDFBibTeX XMLCite \textit{I. Athanasopoulos} et al., Adv. Math. 406, Article ID 108527, 19 p. (2022; Zbl 1495.35176) Full Text: DOI arXiv
Caffarelli, Luis A.; Tang, Lan; Wang, Xu-Jia Global \(C^{1,\alpha}\) regularity for Monge-Ampère equation and convex envelope. (English) Zbl 1496.35223 Arch. Ration. Mech. Anal. 244, No. 1, 127-155 (2022). Reviewer: Leandro Tavares (Juazeiro do Norte) MSC: 35J96 35J67 PDFBibTeX XMLCite \textit{L. A. Caffarelli} et al., Arch. Ration. Mech. Anal. 244, No. 1, 127--155 (2022; Zbl 1496.35223) Full Text: DOI
Caffarelli, Luis A.; Roquejoffre, Jean-Michel The shape of a free boundary driven by a line of fast diffusion. (English) Zbl 1496.35458 Math. Eng. (Springfield) 3, No. 1, Paper No. 10, 25 p. (2021). MSC: 35R35 35C07 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{J.-M. Roquejoffre}, Math. Eng. (Springfield) 3, No. 1, Paper No. 10, 25 p. (2021; Zbl 1496.35458) Full Text: DOI arXiv
Kohn, Robert V.; Li, Yanyan [Lax, Peter; Agmon, Shmuel; Guedes de Figueiredo, Djairo; Srinivasa Varadhan, S. R.; Kohn, Joseph J.; Brezis, Haim; Rabinowitz, Paul H.; Fefferman, Charles; Yau, Shing Tung; Kinderlehrer, David; Caffarelli, Luis; Klainerman, Sergiu; Ni, Wei-Ming; Ekeland, Ivar; Chang, Kung Ching; Chang, Sun-Yung Alice; Shatah, Jalal; Lin, Fang-Hua; Berestycki, Henri; Tian, Gang; Tarantello, Gabriella; Li, Yanyan; Birindelli, Isabeau] Louis Nirenberg (1925–2020). (English) Zbl 1467.01028 Notices Am. Math. Soc. 68, No. 6, 959-979 (2021). MSC: 01A70 35-03 PDFBibTeX XMLCite \textit{R. V. Kohn} and \textit{Y. Li}, Notices Am. Math. Soc. 68, No. 6, 959--979 (2021; Zbl 1467.01028) Full Text: DOI
Caffarelli, L. A.; Roquejoffre, J.-M. The leading edge of a free boundary interacting with a line of fast diffusion. (English) Zbl 1465.35414 St. Petersbg. Math. J. 32, No. 3, 499-522 (2021) and Algebra Anal. 32, No. 3, 149-179 (2020). MSC: 35R35 35J86 35J25 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{J. M. Roquejoffre}, St. Petersbg. Math. J. 32, No. 3, 499--522 (2021; Zbl 1465.35414) Full Text: DOI arXiv
Caffarelli, Luis Ángel; Soria-Carro, María; Stinga, Pablo Raúl Regularity for \(C^{1, \alpha}\) interface transmission problems. (English) Zbl 1467.35169 Arch. Ration. Mech. Anal. 240, No. 1, 265-294 (2021). Reviewer: Paolo Musolino (Padova) MSC: 35J87 31B05 35B65 PDFBibTeX XMLCite \textit{L. Á. Caffarelli} et al., Arch. Ration. Mech. Anal. 240, No. 1, 265--294 (2021; Zbl 1467.35169) Full Text: DOI arXiv
Caffarelli, Luis; Gualdani, Maria; Zamponi, Nicola Existence of weak solutions to a continuity equation with space time nonlocal Darcy law. (English) Zbl 1459.35233 Commun. Partial Differ. Equations 45, No. 12, 1799-1819 (2020). MSC: 35K45 35K59 35R11 35D30 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Commun. Partial Differ. Equations 45, No. 12, 1799--1819 (2020; Zbl 1459.35233) Full Text: DOI arXiv
Caffarelli, Luis; Teymurazyan, Rafayel; Urbano, José Miguel Fully nonlinear integro-differential equations with deforming kernels. (English) Zbl 1452.35055 Commun. Partial Differ. Equations 45, No. 8, 847-871 (2020). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B65 35R09 35J60 35J96 47G20 35D40 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Commun. Partial Differ. Equations 45, No. 8, 847--871 (2020; Zbl 1452.35055) Full Text: DOI arXiv
Caffarelli, L.; Cagnetti, F.; Figalli, A. Optimal regularity and structure of the free boundary for minimizers in cohesive zone models. (English) Zbl 1442.49005 Arch. Ration. Mech. Anal. 237, No. 1, 299-345 (2020). Reviewer: Francesco Rossi (Padova) MSC: 49J20 35R35 49J10 49K40 35J20 49S05 74R99 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Arch. Ration. Mech. Anal. 237, No. 1, 299--345 (2020; Zbl 1442.49005) Full Text: DOI arXiv
Caffarelli, Luis A.; Sire, Yannick Minimal surfaces and free boundaries: recent developments. (English) Zbl 1433.35464 Bull. Am. Math. Soc., New Ser. 57, No. 1, 91-106 (2020). Reviewer: Gabjin Yun (Yongin) MSC: 35R35 35A01 49J45 53A10 49Q05 58E12 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{Y. Sire}, Bull. Am. Math. Soc., New Ser. 57, No. 1, 91--106 (2020; Zbl 1433.35464) Full Text: DOI
Athanasopoulos, Ioannis; Caffarelli, Luis; Milakis, Emmanouil Parabolic obstacle problems, quasi-convexity and regularity. (English) Zbl 1432.35264 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 19, No. 2, 781-825 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35R45 35R35 49J40 49K20 91G80 35B65 35Q91 PDFBibTeX XMLCite \textit{I. Athanasopoulos} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 19, No. 2, 781--825 (2019; Zbl 1432.35264) Full Text: DOI arXiv
Arapostathis, Ari; Biswas, Anup; Caffarelli, Luis On uniqueness of solutions to viscous HJB equations with a subquadratic nonlinearity in the gradient. (English) Zbl 1428.35125 Commun. Partial Differ. Equations 44, No. 12, 1466-1480 (2019). MSC: 35J60 35P30 35B40 35B50 PDFBibTeX XMLCite \textit{A. Arapostathis} et al., Commun. Partial Differ. Equations 44, No. 12, 1466--1480 (2019; Zbl 1428.35125) Full Text: DOI arXiv
Caffarelli, L.; Patrizi, S.; Quitalo, V.; Torres, M. Regularity of interfaces for a Pucci type segregation problem. (English) Zbl 1432.35085 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 4, 939-975 (2019). Reviewer: Petru Jebelean (Timişoara) MSC: 35J60 35R35 35B65 35Q92 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 4, 939--975 (2019; Zbl 1432.35085) Full Text: DOI arXiv
Arapostathis, Ari; Caffarelli, Luis; Pang, Guodong; Zheng, Yi Ergodic control of a class of jump diffusions with finite Lévy measures and rough kernels. (English) Zbl 1415.93288 SIAM J. Control Optim. 57, No. 2, 1516-1540 (2019). MSC: 93E20 60J75 35Q93 60J60 93E15 PDFBibTeX XMLCite \textit{A. Arapostathis} et al., SIAM J. Control Optim. 57, No. 2, 1516--1540 (2019; Zbl 1415.93288) Full Text: DOI arXiv
Caffarelli, Luis; Dávila, Gonzalo Interior regularity for fractional systems. (English) Zbl 1411.35111 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 1, 165-180 (2019). Reviewer: Petr Tomiczek (Plzeň) MSC: 35J60 35B45 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{G. Dávila}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 1, 165--180 (2019; Zbl 1411.35111) Full Text: DOI arXiv
Caffarelli, Luis; Duque, Luis; Vivas, Hernán The two membranes problem for fully nonlinear operators. (English) Zbl 1524.35780 Discrete Contin. Dyn. Syst. 38, No. 12, 6015-6027 (2018). MSC: 35R35 35J60 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Discrete Contin. Dyn. Syst. 38, No. 12, 6015--6027 (2018; Zbl 1524.35780) Full Text: DOI arXiv
Caffarelli, Luis A.; Shahgholian, Henrik; Yeressian, Karen A minimization problem with free boundary related to a cooperative system. (English) Zbl 1395.35226 Duke Math. J. 167, No. 10, 1825-1882 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 35R35 35J60 PDFBibTeX XMLCite \textit{L. A. Caffarelli} et al., Duke Math. J. 167, No. 10, 1825--1882 (2018; Zbl 1395.35226) Full Text: DOI arXiv Euclid
Athanasopoulos, Ioannis; Caffarelli, Luis; Milakis, Emmanouil On the regularity of the non-dynamic parabolic fractional obstacle problem. (English) Zbl 1394.35588 J. Differ. Equations 265, No. 6, 2614-2647 (2018). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35R45 35R35 49J40 49K20 91G80 PDFBibTeX XMLCite \textit{I. Athanasopoulos} et al., J. Differ. Equations 265, No. 6, 2614--2647 (2018; Zbl 1394.35588) Full Text: DOI arXiv
Caffarelli, Luis A.; Yu, Hui A curvature flow in the plane with a nonlocal term. (English) Zbl 1393.53007 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 29, 8 p. (2018). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 53A05 35K10 53C44 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{H. Yu}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 29, 8 p. (2018; Zbl 1393.53007) Full Text: DOI arXiv
Caffarelli, L.; De Silva, D.; Savin, O. Two-phase anisotropic free boundary problems and applications to the Bellman equation in 2D. (English) Zbl 1393.35247 Arch. Ration. Mech. Anal. 228, No. 2, 477-493 (2018). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q90 90C39 35R35 35B65 93E20 35B50 35J25 49L20 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Arch. Ration. Mech. Anal. 228, No. 2, 477--493 (2018; Zbl 1393.35247) Full Text: DOI arXiv
Caffarelli, Luis A.; Sire, Yannick Bounds on the Green function for integral operators and fractional harmonic measure with applications to boundary Harnack. (English) Zbl 1387.35071 Proc. Am. Math. Soc. 146, No. 3, 1207-1216 (2018). MSC: 35B45 35J08 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{Y. Sire}, Proc. Am. Math. Soc. 146, No. 3, 1207--1216 (2018; Zbl 1387.35071) Full Text: DOI
Caffarelli, L.; Patrizi, S.; Quitalo, V. On a long range segregation model. (English) Zbl 1386.35084 J. Eur. Math. Soc. (JEMS) 19, No. 12, 3575-3628 (2017). Reviewer: Petr Tomiczek (Plzeň) MSC: 35J60 35R35 35Q92 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., J. Eur. Math. Soc. (JEMS) 19, No. 12, 3575--3628 (2017; Zbl 1386.35084) Full Text: DOI arXiv
Caffarelli, L.; De Silva, D.; Savin, O. The two membranes problem for different operators. (English) Zbl 1368.35045 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 4, 899-932 (2017). MSC: 35B45 35B65 35R11 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 4, 899--932 (2017; Zbl 1368.35045) Full Text: DOI arXiv
Caffarelli, Luis; Ros-Oton, Xavier; Serra, Joaquim Obstacle problems for integro-differential operators: regularity of solutions and free boundaries. (English) Zbl 1371.35361 Invent. Math. 208, No. 3, 1155-1211 (2017). MSC: 35R35 47G20 35B65 35R09 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Invent. Math. 208, No. 3, 1155--1211 (2017; Zbl 1371.35361) Full Text: DOI arXiv
Allen, Mark; Caffarelli, Luis; Vasseur, Alexis Porous medium flow with both a fractional potential pressure and fractional time derivative. (English) Zbl 1372.35328 Chin. Ann. Math., Ser. B 38, No. 1, 45-82 (2017). MSC: 35R11 35K55 26A33 35D30 35B65 PDFBibTeX XMLCite \textit{M. Allen} et al., Chin. Ann. Math., Ser. B 38, No. 1, 45--82 (2017; Zbl 1372.35328) Full Text: DOI arXiv
Caffarelli, Luis A.; Sire, Yannick On some pointwise inequalities involving nonlocal operators. (English) Zbl 1482.35017 Chanillo, Sagun (ed.) et al., Harmonic analysis, partial differential equations and applications. In honor of Richard L. Wheeden. Basel: Birkhäuser/Springer. Appl. Numer. Harmon. Anal., 1-18 (2017). MSC: 35A23 35A30 35R01 35R11 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{Y. Sire}, in: Harmonic analysis, partial differential equations and applications. In honor of Richard L. Wheeden. Basel: Birkhäuser/Springer. 1--18 (2017; Zbl 1482.35017) Full Text: DOI arXiv
Caffarelli, Luis; Dipierro, Serena; Valdinoci, Enrico A logistic equation with nonlocal interactions. (English) Zbl 1356.35261 Kinet. Relat. Models 10, No. 1, 141-170 (2017). MSC: 35Q92 46N60 35R11 60G22 92D25 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Kinet. Relat. Models 10, No. 1, 141--170 (2017; Zbl 1356.35261) Full Text: DOI arXiv
Arapostathis, Ari; Biswas, Anup; Caffarelli, Luis The Dirichlet problem for stable-like operators and related probabilistic representations. (English) Zbl 1352.60080 Commun. Partial Differ. Equations 41, No. 9, 1472-1511 (2016). MSC: 60H10 60J75 60J45 60G52 60H30 PDFBibTeX XMLCite \textit{A. Arapostathis} et al., Commun. Partial Differ. Equations 41, No. 9, 1472--1511 (2016; Zbl 1352.60080) Full Text: DOI
Caffarelli, L.; De Silva, D.; Savin, O. Obstacle-type problems for minimal surfaces. (English) Zbl 1370.35070 Commun. Partial Differ. Equations 41, No. 8, 1303-1323 (2016). Reviewer: Lavi Karp (Karmiel) MSC: 35B65 35J86 35R11 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Commun. Partial Differ. Equations 41, No. 8, 1303--1323 (2016; Zbl 1370.35070) Full Text: DOI arXiv
Caffarelli, Luis A.; Kriventsov, Dennis A free boundary problem related to thermal insulation. (English) Zbl 1351.35268 Commun. Partial Differ. Equations 41, No. 7, 1149-1182 (2016). Reviewer: Adrian Muntean (Karlstad) MSC: 35R35 49Q20 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{D. Kriventsov}, Commun. Partial Differ. Equations 41, No. 7, 1149--1182 (2016; Zbl 1351.35268) Full Text: DOI arXiv
Caffarelli, Luis; Silvestre, Luis A non-local Monge-Ampère equation. (English) Zbl 1361.35067 Commun. Anal. Geom. 24, No. 2, 307-335 (2016). Reviewer: Igor G. Nikolaev (Urbana) MSC: 35J96 35R11 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{L. Silvestre}, Commun. Anal. Geom. 24, No. 2, 307--335 (2016; Zbl 1361.35067) Full Text: DOI arXiv
Allen, Mark; Caffarelli, Luis; Vasseur, Alexis A parabolic problem with a fractional time derivative. (English) Zbl 1338.35428 Arch. Ration. Mech. Anal. 221, No. 2, 603-630 (2016). MSC: 35Q82 35R11 35B65 35D30 PDFBibTeX XMLCite \textit{M. Allen} et al., Arch. Ration. Mech. Anal. 221, No. 2, 603--630 (2016; Zbl 1338.35428) Full Text: DOI arXiv
Caffarelli, Luis A.; Stinga, Pablo Raúl Fractional elliptic equations, Caccioppoli estimates and regularity. (English) Zbl 1381.35211 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 3, 767-807 (2016). MSC: 35R11 35B65 35K05 35B45 46E35 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{P. R. Stinga}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 3, 767--807 (2016; Zbl 1381.35211) Full Text: DOI arXiv
Bonforte, Matteo (ed.); Caffarelli, Luis (ed.); Grillo, Gabriele (ed.) Foreword: In honor of Juan Luis Vézquez for his 70th birthday. (English) Zbl 1334.00105 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 1-2 (2016). MSC: 00B30 00B15 01A70 35-06 PDFBibTeX XMLCite \textit{M. Bonforte} (ed.) et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 1--2 (2016; Zbl 1334.00105) Full Text: DOI
Bonforte, Matteo (ed.); Caffarelli, Luis (ed.); Grillo, Gabriele (ed.) Foreword: In honor of Juan Luis Vázquez for his 70th birthday. (English) Zbl 1334.00104 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 137, 1-2 (2016). MSC: 00B30 00B15 01A70 35-06 PDFBibTeX XMLCite \textit{M. Bonforte} (ed.) et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 137, 1--2 (2016; Zbl 1334.00104) Full Text: DOI
Caffarelli, L.; Vázquez, J. L. Regularity of solutions of the fractional porous medium flow with exponent \(1/2\). (English) Zbl 1335.35273 St. Petersbg. Math. J. 27, No. 3, 437-460 (2016) and Algebra Anal. 27, No. 3, 125-156 (2015). Reviewer: Piotr Biler (Wroclaw) MSC: 35R11 35K55 35K65 76S05 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{J. L. Vázquez}, St. Petersbg. Math. J. 27, No. 3, 437--460 (2016; Zbl 1335.35273) Full Text: DOI arXiv
Caffarelli, Luis; Charro, Fernando On a fractional Monge-Ampère operator. (English) Zbl 1393.35268 Ann. PDE 1, No. 1, Paper No. 4, 47 p. (2015). MSC: 35R11 53C21 35J96 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{F. Charro}, Ann. PDE 1, No. 1, Paper No. 4, 47 p. (2015; Zbl 1393.35268) Full Text: DOI arXiv
Caffarelli, Luis A.; Shahgholian, Henrik Regularity of free boundaries a heuristic retro. (English) Zbl 1353.35319 Philos. Trans. A, R. Soc. Lond. 373, No. 2050, Article ID 20150209, 18 p. (2015). MSC: 35R35 35B40 35B44 35B65 49N60 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{H. Shahgholian}, Philos. Trans. A, R. Soc. Lond. 373, No. 2050, Article ID 20150209, 18 p. (2015; Zbl 1353.35319) Full Text: DOI
Caffarelli, Luis A.; Wang, Peiyong A bifurcation phenomenon in a singularly perturbed one-phase free boundary problem of phase transition. (English) Zbl 1334.35439 Calc. Var. Partial Differ. Equ. 54, No. 4, 3517-3529 (2015). Reviewer: Mariana Vega Smit (Essen) MSC: 35R35 35J25 35K20 35J05 35B32 58E05 35A02 35D30 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{P. Wang}, Calc. Var. Partial Differ. Equ. 54, No. 4, 3517--3529 (2015; Zbl 1334.35439) Full Text: DOI
Caffarelli, Luis; Savin, Ovidiu; Valdinoci, Enrico Minimization of a fractional perimeter-Dirichlet integral functional. (English) Zbl 1323.35216 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 4, 901-924 (2015). Reviewer: Dian K. Palagachev (Bari) MSC: 35R35 49N60 35R11 49Q05 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 4, 901--924 (2015; Zbl 1323.35216) Full Text: DOI arXiv
Burger, Martin (ed.); Caffarelli, Luis (ed.); Markowich, Peter A. (ed.) Partial differential equation models in the socio-economic sciences. (English) Zbl 1353.00004 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 372, No. 2028, Article ID 20130406, 8 p. (2014). MSC: 00B15 35-06 91-06 PDFBibTeX XMLCite \textit{M. Burger} (ed.) et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 372, No. 2028, Article ID 20130406, 8 p. (2014; Zbl 1353.00004) Full Text: DOI
Caffarelli, Luis Calixto Calderón as I knew him. (English) Zbl 1322.01036 Georgakis, Constantine (ed.) et al., Special functions, partial differential equations, and harmonic analysis. Papers presented at the conference in honor of Calixto P. Calderón. Cham: Springer (ISBN 978-3-319-10544-4/hbk; 978-3-319-10545-1/ebook). Springer Proceedings in Mathematics & Statistics 108, 13-14 (2014). MSC: 01A70 PDFBibTeX XMLCite \textit{L. Caffarelli}, Springer Proc. Math. Stat. 108, 13--14 (2014; Zbl 1322.01036) Full Text: DOI
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese On the asymptotic behavior of a Boltzmann-type price formation model. (English) Zbl 1307.35302 Commun. Math. Sci. 12, No. 7, 1353-1361 (2014). MSC: 35Q91 35B40 35K20 91B60 91B24 PDFBibTeX XMLCite \textit{M. Burger} et al., Commun. Math. Sci. 12, No. 7, 1353--1361 (2014; Zbl 1307.35302) Full Text: DOI arXiv
Caffarelli, Luis A.; Leitão, Raimundo; Urbano, José Miguel Regularity for anisotropic fully nonlinear integro-differential equations. (English) Zbl 1304.35730 Math. Ann. 360, No. 3-4, 681-714 (2014). MSC: 35R09 35B65 35D40 45K05 47G20 PDFBibTeX XMLCite \textit{L. A. Caffarelli} et al., Math. Ann. 360, No. 3--4, 681--714 (2014; Zbl 1304.35730) Full Text: DOI arXiv
Caffarelli, Luis; Silvestre, Luis Hölder regularity for generalized master equations with rough kernels. (English) Zbl 1312.45013 Fefferman, Charles (ed.) et al., Advances in analysis. The legacy of Elias M. Stein. Proceedings of the conference “Analysis and applications” held in honor of the 80th birthday of Elias M. Stein, Princeton, NJ, USA, May 16–20, 2011. Princeton, NJ: Princeton University Press (ISBN 978-0-691-15941-6/hbk; 978-1-400-84893-5/ebook). Princeton Mathematical Series 50, 63-83 (2014). Reviewer: Marius Iosifescu (Bucureşti) MSC: 45P05 45A05 81S22 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{L. Silvestre}, Princeton Math. Ser. 50, 63--83 (2014; Zbl 1312.45013)
Caffarelli, L. A.; Monneau, R. Counter-example in three dimension and homogenization of geometric motions in two dimension. (English) Zbl 1293.35026 Arch. Ration. Mech. Anal. 212, No. 2, 503-574 (2014). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35D40 53C44 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{R. Monneau}, Arch. Ration. Mech. Anal. 212, No. 2, 503--574 (2014; Zbl 1293.35026) Full Text: DOI
Caffarelli, Luis; Del Mar González, María; Nguyen, Truyen A perturbation argument for a Monge-Ampère type equation arising in optimal transportation. (English) Zbl 1294.35170 Arch. Ration. Mech. Anal. 212, No. 2, 359-414 (2014). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35Q90 35J96 90C08 90C25 35B65 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Arch. Ration. Mech. Anal. 212, No. 2, 359--414 (2014; Zbl 1294.35170) Full Text: DOI
Caffarelli, Luis; Jin, Tianling; Sire, Yannick; Xiong, Jingang Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities. (English) Zbl 1296.35208 Arch. Ration. Mech. Anal. 213, No. 1, 245-268 (2014). Reviewer: Svetlin Georgiev (Rousse) MSC: 35R11 35J61 35B40 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Arch. Ration. Mech. Anal. 213, No. 1, 245--268 (2014; Zbl 1296.35208) Full Text: DOI arXiv
Caffarelli, Luis A.; Crandall, Michael G. Relations between geometric convexity, doubling measures and property \(\Gamma\). (English) Zbl 1307.46006 Proc. Am. Math. Soc. 142, No. 7, 2395-2406 (2014). Reviewer: Jan-David Hardtke (Berlin) MSC: 46B20 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{M. G. Crandall}, Proc. Am. Math. Soc. 142, No. 7, 2395--2406 (2014; Zbl 1307.46006) Full Text: DOI
Arapostathis, Ari; Biswas, Anup; Caffarelli, Luis On a Class of Stochastic Differential Equations With Jumps and Its Properties. arXiv:1401.6198 Preprint, arXiv:1401.6198 [math.PR] (2014). MSC: 60J45 60J75 58F11 BibTeX Cite \textit{A. Arapostathis} et al., ``On a Class of Stochastic Differential Equations With Jumps and Its Properties'', Preprint, arXiv:1401.6198 [math.PR] (2014) Full Text: arXiv OA License
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese On a Boltzmann-type price formation model. (English) Zbl 1372.91039 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 469, No. 2157, Article ID 20130126, 20 p. (2013). MSC: 91B24 PDFBibTeX XMLCite \textit{M. Burger} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 469, No. 2157, Article ID 20130126, 20 p. (2013; Zbl 1372.91039) Full Text: DOI arXiv
Caffarelli, Luis The homogenization of surfaces and boundaries. (English) Zbl 1296.35030 Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 755-775 (2013). Reviewer: Adrian Muntean (Eindhoven) MSC: 35J15 35R60 35B27 PDFBibTeX XMLCite \textit{L. Caffarelli}, Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 755--775 (2013; Zbl 1296.35030) Full Text: DOI
Caffarelli, Luis; Valdinoci, Enrico Regularity properties of nonlocal minimal surfaces via limiting arguments. (English) Zbl 1284.53008 Adv. Math. 248, 843-871 (2013). MSC: 53A10 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{E. Valdinoci}, Adv. Math. 248, 843--871 (2013; Zbl 1284.53008) Full Text: DOI arXiv
Caffarelli, Luis A.; Soria, Fernando; Vázquez, Juan Luis Regularity of solutions of the fractional porous medium flow. (English) Zbl 1292.35312 J. Eur. Math. Soc. (JEMS) 15, No. 5, 1701-1746 (2013). MSC: 35R11 35K55 35K65 76S05 PDFBibTeX XMLCite \textit{L. A. Caffarelli} et al., J. Eur. Math. Soc. (JEMS) 15, No. 5, 1701--1746 (2013; Zbl 1292.35312) Full Text: DOI arXiv Backlinks: MO
Caffarelli, Luis; Figalli, Alessio Regularity of solutions to the parabolic fractional obstacle problem. (English) Zbl 1277.35088 J. Reine Angew. Math. 680, 191-233 (2013). Reviewer: Galina Bizhanova (Almaty) MSC: 35B65 35S05 35D40 35R35 35R11 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{A. Figalli}, J. Reine Angew. Math. 680, 191--233 (2013; Zbl 1277.35088) Full Text: DOI arXiv
Caffarelli, Luis; Valdinoci, Enrico A priori bounds for solutions of a nonlocal evolution PDE. (English) Zbl 1273.35067 Brezzi, Franco (ed.) et al., Analysis and numerics of partial differential equations. Selected papers based on a meeting in memory of Enrico Magenes, 2011. Milano: Springer (ISBN 978-88-470-2591-2/hbk; 978-88-470-2592-9/ebook). Springer INdAM Series 4, 141-163 (2013). MSC: 35B45 35B25 35K15 35R11 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{E. Valdinoci}, Springer INdAM Ser. 4, 141--163 (2013; Zbl 1273.35067) Full Text: DOI
Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis Some remarks on singular solutions of nonlinear elliptic equations. III: Viscosity solutions including parabolic operators. (English) Zbl 1279.35044 Commun. Pure Appl. Math. 66, No. 1, 109-143 (2013). Reviewer: Gabjin Yun (Yongin) MSC: 35J60 35J70 58J05 35B50 35K10 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Commun. Pure Appl. Math. 66, No. 1, 109--143 (2013; Zbl 1279.35044) Full Text: DOI arXiv
Caffarelli, Luis; Li, YanYan; Nirenberg, Louis Some remarks on singular solutions of nonlinear elliptic equations. II: Symmetry and monotonicity via moving planes. (English) Zbl 1325.35044 Janeczko, Stanislaw (ed.) et al., Advances in geometric analysis. Collected papers of the workshop on geometry in honour of Shing-Tung Yau’s 60th birthday, Warsaw, Poland, April 6–8, 2009. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-248-0/pbk). Advanced Lectures in Mathematics (ALM) 21, 97-105 (2012). MSC: 35J60 35J96 35B50 35J70 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Adv. Lect. Math. (ALM) 21, 97--105 (2012; Zbl 1325.35044)
Caffarelli, Luis A.; Vasseur, Alexis The De Giorgi method for nonlocal fluid dynamics. (English) Zbl 1357.35249 Cabré, Xavier (ed.) et al., Nonlinear partial differential equations. Lecture notes from the school on topics in PDE’s and applications, Granada and Barcelona, Spain, 2008. Basel: Birkhäuser (ISBN 978-3-0348-0190-4/pbk; 978-3-0348-0191-1/ebook). Advanced Courses in Mathematics - CRM Barcelona, 1-38 (2012). MSC: 35Q35 35B65 35J87 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{A. Vasseur}, in: Nonlinear partial differential equations. Lecture notes from the school on topics in PDE's and applications, Granada and Barcelona, Spain, 2008. Basel: Birkhäuser. 1--38 (2012; Zbl 1357.35249) Full Text: DOI
Caffarelli, Luis Non-local diffusions, drifts and games. (English) Zbl 1266.35060 Holden, Helge (ed.) et al., Nonlinear partial differential equations. The Abel symposium 2010. Proceedings of the Abel symposium, Oslo, Norway, September 28–October 2, 2010. Berlin: Springer (ISBN 978-3-642-25360-7/hbk; 978-3-642-25361-4/ebook). Abel Symposia 7, 37-52 (2012). Reviewer: Yuxia Guo (Beijing) MSC: 35J60 35Q92 35Q91 35Q93 PDFBibTeX XMLCite \textit{L. Caffarelli}, Abel Symp. 7, 37--52 (2012; Zbl 1266.35060) Full Text: DOI
Bjorland, C.; Caffarelli, L.; Figalli, A. Non-local gradient dependent operators. (English) Zbl 1252.35099 Adv. Math. 230, No. 4-6, 1859-1894 (2012). Reviewer: E. Ahmed (Mansoura) MSC: 35B65 35B45 35R09 PDFBibTeX XMLCite \textit{C. Bjorland} et al., Adv. Math. 230, No. 4--6, 1859--1894 (2012; Zbl 1252.35099) Full Text: DOI
Caffarelli, L.; Mellet, A.; Sire, Y. Traveling waves for a boundary reaction-diffusion equation. (English) Zbl 1255.35072 Adv. Math. 230, No. 2, 433-457 (2012). Reviewer: Victor I. Tkachenko (Kyïv) MSC: 35C07 35K57 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Adv. Math. 230, No. 2, 433--457 (2012; Zbl 1255.35072) Full Text: DOI arXiv
Caffarelli, Luis A.; Crandall, Michael G. The problem of two sticks. (English) Zbl 1257.46009 Expo. Math. 30, No. 1, 69-95 (2012). Reviewer: David Yost (Ballarat) MSC: 46B20 52A21 35Q60 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{M. G. Crandall}, Expo. Math. 30, No. 1, 69--95 (2012; Zbl 1257.46009) Full Text: DOI arXiv
Bjorland, Clayton; Caffarelli, Luis; Figalli, Alessio Nonlocal tug-of-war and the infinity fractional Laplacian. (English) Zbl 1235.35278 Commun. Pure Appl. Math. 65, No. 3, 337-380 (2012). Reviewer: Vivek S. Borkar (Mumbai) MSC: 35R09 35D40 91A24 35Q91 PDFBibTeX XMLCite \textit{C. Bjorland} et al., Commun. Pure Appl. Math. 65, No. 3, 337--380 (2012; Zbl 1235.35278) Full Text: DOI arXiv
Caffarelli, Luis; Vazquez, Juan Luis Nonlinear porous medium flow with fractional potential pressure. (English) Zbl 1264.76105 Arch. Ration. Mech. Anal. 202, No. 2, 537-565 (2011). MSC: 76S05 35Q35 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{J. L. Vazquez}, Arch. Ration. Mech. Anal. 202, No. 2, 537--565 (2011; Zbl 1264.76105) Full Text: DOI arXiv
Ambrosio, Luigi (ed.); Caffarelli, Luis A. (ed.); Maugeri, Antonino (ed.) Special issue in honour of Ennio De Giorgi and G. Stampacchia. Selected papers based on the presentations at the conference on variational analysis and applications, Erice, Italy, May 9–17, 2009. (English) Zbl 1232.49001 Discrete Contin. Dyn. Syst. 31, No. 4, vi, 1017-1477 (2011). MSC: 49-06 00B25 00B30 49J20 37N40 PDFBibTeX XML
Caffarelli, Luis; Silvestre, Luis The Evans-Krylov theorem for nonlocal fully nonlinear equations. (English) Zbl 1232.49043 Ann. Math. (2) 174, No. 2, 1163-1187 (2011). MSC: 49N60 49L20 35J65 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{L. Silvestre}, Ann. Math. (2) 174, No. 2, 1163--1187 (2011; Zbl 1232.49043) Full Text: DOI arXiv
Caffarelli, Luis; Silvestre, Luis Regularity results for nonlocal equations by approximation. (English) Zbl 1231.35284 Arch. Ration. Mech. Anal. 200, No. 1, 59-88 (2011). Reviewer: Kun Zhao (Iowa City) MSC: 35R09 35B65 35D40 91A15 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{L. Silvestre}, Arch. Ration. Mech. Anal. 200, No. 1, 59--88 (2011; Zbl 1231.35284) Full Text: DOI arXiv
Caffarelli, Luis A.; Markowich, Peter A.; Wolfram, Marie-Therese On a price formation free boundary model by Lasry and Lions: the Neumann problem. (English) Zbl 1233.91336 C. R., Math., Acad. Sci. Paris 349, No. 15-16, 841-844 (2011). Reviewer: P. W. A. Dayananda (St. Paul) MSC: 91G80 91G20 35R35 PDFBibTeX XMLCite \textit{L. A. Caffarelli} et al., C. R., Math., Acad. Sci. Paris 349, No. 15--16, 841--844 (2011; Zbl 1233.91336) Full Text: DOI arXiv
Caffarelli, Luis A.; Markowich, Peter A.; Pietschmann, Jan-F. On a price formation free boundary model by Lasry and Lions. (English) Zbl 1216.91012 C. R., Math., Acad. Sci. Paris 349, No. 11-12, 621-624 (2011). MSC: 91B24 91A23 35Q91 PDFBibTeX XMLCite \textit{L. A. Caffarelli} et al., C. R., Math., Acad. Sci. Paris 349, No. 11--12, 621--624 (2011; Zbl 1216.91012) Full Text: DOI arXiv
Caffarelli, Luis; Chan, Chi Hin; Vasseur, Alexis Regularity theory for parabolic nonlinear integral operators. (English) Zbl 1223.35098 J. Am. Math. Soc. 24, No. 3, 849-869 (2011). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B65 35R09 45G05 47G10 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., J. Am. Math. Soc. 24, No. 3, 849--869 (2011; Zbl 1223.35098) Full Text: DOI arXiv
Caffarelli, Luis; Valdinoci, Enrico Uniform estimates and limiting arguments for nonlocal minimal surfaces. (English) Zbl 1357.49143 Calc. Var. Partial Differ. Equ. 41, No. 1-2, 203-240 (2011). MSC: 49Q05 53A10 28A75 58E12 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{E. Valdinoci}, Calc. Var. Partial Differ. Equ. 41, No. 1--2, 203--240 (2011; Zbl 1357.49143) Full Text: DOI
Caffarelli, Luis; Vázquez, Juan-Luis Asymptotic behaviour of a porous medium equation with fractional diffusion. (English) Zbl 1211.35043 Discrete Contin. Dyn. Syst. 29, No. 4, 1393-1404 (2011). MSC: 35B40 35K55 35K65 35J87 26A33 35R11 35C06 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{J.-L. Vázquez}, Discrete Contin. Dyn. Syst. 29, No. 4, 1393--1404 (2011; Zbl 1211.35043) Full Text: DOI arXiv
Caffarelli, Luis A.; Vasseur, Alexis F. The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics. (English) Zbl 1210.76039 Discrete Contin. Dyn. Syst., Ser. S 3, No. 3, 409-427 (2010). MSC: 76D03 35Q35 35B65 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{A. F. Vasseur}, Discrete Contin. Dyn. Syst., Ser. S 3, No. 3, 409--427 (2010; Zbl 1210.76039) Full Text: DOI
Caffarelli, Luis; Silvestre, Luis Smooth approximations of solutions to nonconvex fully nonlinear elliptic equations. (English) Zbl 1208.35047 Arkhipova, Aina A. (ed.) et al., Nonlinear partial differential equations and related topics. Dedicated to Nina U. Uraltseva on the occasion of her 75th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4997-2/hbk). Translations. Series 2. American Mathematical Society 229; Advances in the Mathematical Sciences 64, 67-85 (2010). MSC: 35J60 35R09 35B45 35B65 35A35 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{L. Silvestre}, Transl., Ser. 2, Am. Math. Soc. 229, 67--85 (2010; Zbl 1208.35047)
Caffarelli, Luis A.; Roquejoffre, Jean-Michel; Sire, Yannick Variational problems with free boundaries for the fractional Laplacian. (English) Zbl 1221.35453 J. Eur. Math. Soc. (JEMS) 12, No. 5, 1151-1179 (2010). Reviewer: Martin Gugat (Erlangen) MSC: 35R35 49J20 35K65 35K57 PDFBibTeX XMLCite \textit{L. A. Caffarelli} et al., J. Eur. Math. Soc. (JEMS) 12, No. 5, 1151--1179 (2010; Zbl 1221.35453) Full Text: DOI Link
Caffarelli, L.; Roquejoffre, J.-M.; Savin, O. Nonlocal minimal surfaces. (English) Zbl 1248.53009 Commun. Pure Appl. Math. 63, No. 9, 1111-1144 (2010). MSC: 53A10 49Q05 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Commun. Pure Appl. Math. 63, No. 9, 1111--1144 (2010; Zbl 1248.53009) Full Text: DOI arXiv
Caffarelli, Luis A.; Lin, Fang Hua Analysis on the junctions of domain walls. (English) Zbl 1193.35255 Discrete Contin. Dyn. Syst. 28, No. 3, 915-929 (2010). MSC: 35R35 49R05 49J20 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{F. H. Lin}, Discrete Contin. Dyn. Syst. 28, No. 3, 915--929 (2010; Zbl 1193.35255) Full Text: DOI
Caffarelli, Luis A.; Karakhanyan, Aram L. Lectures on gas flow in porous media. (English) Zbl 1337.76063 Cabrelli, Carlos (ed.) et al., Recent developments in real and harmonic analysis. In honor of Carlos Segovia. Boston, MA: Birkhäuser (ISBN 978-0-8176-4531-1/hbk; 978-0-8176-4588-5/ebook). Applied and Numerical Harmonic Analysis, 133-157 (2010). MSC: 76S05 35K57 35B44 35C07 35R35 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{A. L. Karakhanyan}, in: Recent developments in real and harmonic analysis. In honor of Carlos Segovia. Boston, MA: Birkhäuser. 133--157 (2010; Zbl 1337.76063) Full Text: DOI Link
Caffarelli, Luis A.; Vasseur, Alexis Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. (English) Zbl 1204.35063 Ann. Math. (2) 171, No. 3, 1903-1930 (2010). Reviewer: Stamatis Koumandos (Nicosia) MSC: 35B65 35B45 42B37 86A99 76D03 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{A. Vasseur}, Ann. Math. (2) 171, No. 3, 1903--1930 (2010; Zbl 1204.35063) Full Text: DOI arXiv Link
Caffarelli, Luis A.; McCann, Robert J. Free boundaries in optimal transport and Monge-Ampère obstacle problems. (English) Zbl 1196.35231 Ann. Math. (2) 171, No. 2, 673-730 (2010). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35R35 35B65 35J87 35J96 49J20 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{R. J. McCann}, Ann. Math. (2) 171, No. 2, 673--730 (2010; Zbl 1196.35231) Full Text: DOI Link
Caffarelli, Luis A.; Souganidis, Panagiotis E. Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media. (English) Zbl 1192.35048 Invent. Math. 180, No. 2, 301-360 (2010). Reviewer: Marius Ghergu (Dublin) MSC: 35J60 35J15 35B27 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{P. E. Souganidis}, Invent. Math. 180, No. 2, 301--360 (2010; Zbl 1192.35048) Full Text: DOI
Caffarelli, Luis A.; Crandall, Michael G. Distance functions and almost global solutions of eikonal equations. (English) Zbl 1187.35024 Commun. Partial Differ. Equations 35, No. 3, 391-414 (2010). MSC: 35F20 35F21 35C99 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{M. G. Crandall}, Commun. Partial Differ. Equations 35, No. 3, 391--414 (2010; Zbl 1187.35024) Full Text: DOI
Athanasopoulos, I.; Caffarelli, L. A. Continuity of the temperature in boundary heat control problems. (English) Zbl 1190.35125 Adv. Math. 224, No. 1, 293-315 (2010). MSC: 35K60 35R70 PDFBibTeX XMLCite \textit{I. Athanasopoulos} and \textit{L. A. Caffarelli}, Adv. Math. 224, No. 1, 293--315 (2010; Zbl 1190.35125) Full Text: DOI
Caffarelli, Luis A.; Souganidis, Panagiotis E. Convergence of nonlocal threshold dynamics approximations to front propagation. (English) Zbl 1190.65132 Arch. Ration. Mech. Anal. 195, No. 1, 1-23 (2010). Reviewer: Yaşar Sözen (Istanbul) MSC: 65M12 35R11 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{P. E. Souganidis}, Arch. Ration. Mech. Anal. 195, No. 1, 1--23 (2010; Zbl 1190.65132) Full Text: DOI arXiv
Caffarelli, Luis; Silvestre, Luis On the Evans-Krylov theorem. (English) Zbl 1180.35229 Proc. Am. Math. Soc. 138, No. 1, 263-265 (2010). MSC: 35J60 35B45 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{L. Silvestre}, Proc. Am. Math. Soc. 138, No. 1, 263--265 (2010; Zbl 1180.35229) Full Text: DOI arXiv
Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis Some remarks on singular solutions of nonlinear elliptic equations. I. (English) Zbl 1215.35068 J. Fixed Point Theory Appl. 5, No. 2, 353-395 (2009). Reviewer: Gabjin Yun (Yongin) MSC: 35J60 35J70 53C21 58J05 35B50 35B06 35B09 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., J. Fixed Point Theory Appl. 5, No. 2, 353--395 (2009; Zbl 1215.35068) Full Text: DOI arXiv
Caffarelli, L. A.; Karakhanyan, A. L.; Lin, Fang-Hua The geometry of solutions to a segregation problem for nondivergence systems. (English) Zbl 1217.35015 J. Fixed Point Theory Appl. 5, No. 2, 319-351 (2009). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B25 35B65 35K55 PDFBibTeX XMLCite \textit{L. A. Caffarelli} et al., J. Fixed Point Theory Appl. 5, No. 2, 319--351 (2009; Zbl 1217.35015) Full Text: DOI Link
Caffarelli, Luis A. Surfaces minimizing nonlocal energies. (English) Zbl 1182.53055 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 20, No. 3, 281-299 (2009). MSC: 53C42 35J20 35J60 35J93 49Q05 49Q15 PDFBibTeX XMLCite \textit{L. A. Caffarelli}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 20, No. 3, 281--299 (2009; Zbl 1182.53055) Full Text: DOI
Caffarelli, Luis A.; Huang, Qingbo Reflector problem in \({\mathbb R^n}\) endowed with non-Euclidean norm. (English) Zbl 1173.78003 Arch. Ration. Mech. Anal. 193, No. 2, 445-473 (2009). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M30 47N10 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{Q. Huang}, Arch. Ration. Mech. Anal. 193, No. 2, 445--473 (2009; Zbl 1173.78003) Full Text: DOI
Caffarelli, Luis; Silvestre, Luis Regularity theory for fully nonlinear integro-differential equations. (English) Zbl 1170.45006 Commun. Pure Appl. Math. 62, No. 5, 597-638 (2009). Reviewer: Iulian Stoleriu (Iaşi) MSC: 45K05 45G10 93E03 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{L. Silvestre}, Commun. Pure Appl. Math. 62, No. 5, 597--638 (2009; Zbl 1170.45006) Full Text: DOI arXiv
Caffarelli, L. A.; Mellet, A. Random homogenization of an obstacle problem. (English) Zbl 1180.35069 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 375-395 (2009). Reviewer: Dan Polisevski (Bucureşti) MSC: 35B27 49J40 47A35 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{A. Mellet}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 375--395 (2009; Zbl 1180.35069) Full Text: DOI EuDML
Caffarelli, Luis; Lin, Fanghua Nonlocal heat flows preserving the \(L^2\) energy. (English) Zbl 1154.35364 Discrete Contin. Dyn. Syst. 23, No. 1-2, 49-64 (2009). MSC: 35K05 35K55 49N60 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{F. Lin}, Discrete Contin. Dyn. Syst. 23, No. 1--2, 49--64 (2009; Zbl 1154.35364) Full Text: DOI
Caffarelli, L. A.; Oliker, V. I. Weak solutions of one inverse problem in geometric optics. (English. Russian original) Zbl 1202.78003 J. Math. Sci., New York 154, No. 1, 39-49 (2008); translation from Probl. Mat. Anal. 37, 37-46 (2008). MSC: 78A05 49N45 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{V. I. Oliker}, J. Math. Sci., New York 154, No. 1, 39--49 (2008; Zbl 1202.78003); translation from Probl. Mat. Anal. 37, 37--46 (2008) Full Text: DOI
Caffarelli, L. A.; Lin, Fang-Hua Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries. (English) Zbl 1194.35138 J. Am. Math. Soc. 21, No. 3, 847-862 (2008). MSC: 35J57 35B25 35P30 35B65 31B05 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{F.-H. Lin}, J. Am. Math. Soc. 21, No. 3, 847--862 (2008; Zbl 1194.35138) Full Text: DOI
Caffarelli, Luis A. Some nonlinear problems involving nonlocal diffusions. (English) Zbl 1419.35203 Jeltsch, Rolf (ed.) et al., 6th international congress on industrial and applied mathematics, ICIAM 07, Zürich, Switzerland, July 16–20 2007. Invited lectures. Zürich: European Mathematical Society (EMS). 43-56 (2008). MSC: 35R11 PDFBibTeX XMLCite \textit{L. A. Caffarelli}, in: 6th international congress on industrial and applied mathematics, ICIAM 07, Zürich, Switzerland, July 16--20 2007. Invited lectures. Zürich: European Mathematical Society (EMS). 43--56 (2008; Zbl 1419.35203)