Julián Fernández Bonder
Professor · Math Department, Universidad de Buenos Aires
Principal Researcher · CONICET at Instituto de Cálculo
I am a Professor at the Math Department in the Faculty of Exact and Natural Sciences at Universidad de Buenos Aires, and a Principal Researcher at CONICET, based at the Instituto de Cálculo.
My current research focuses on nonlinear and nonlocal elliptic-type equations, including problems in Orlicz–Sobolev spaces, fractional operators, shape optimization, and eigenvalue problems for quasilinear operators.
Publications
93 published papers in journals including J. Functional Analysis, SIAM J. Math. Anal., J. Differential Equations, Ann. Inst. H. Poincaré Anal. Non Linéaire, Proc. Amer. Math. Soc., and others.
- · J. Fernández Bonder, A.M. Salort and H. Vivas. Interior and up to the boundary regularity for the fractional g-Laplacian: the convex case. Nonlinear Anal., 223 (2022), Paper No. 113060. pdf
- · J. Fernández Bonder and A.M. Salort. Fractional order Orlicz-Sobolev spaces. J. Functional Anal. 277 (2019), no. 2, 333–367. pdf
- · J. Fernández Bonder, N. Saintier and A. Silva. The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem. NoDEA 25 (2018), no. 6, Art. 52. pdf
- · J. Fernández Bonder, A. Ritorto and A.M. Salort. H-convergence result for nonlocal elliptic-type problems via Tartar's method. SIAM J. Math. Anal., 49 (2017), no. 4, 2387–2408. pdf
- · J. Fernández Bonder, N. Saintier and A. Silva. On the Sobolev embedding theorem for variable exponent spaces in the critical range. J. Differential Equations 253 (2012), no. 5, 1604–1620. pdf
- · J. Fernández Bonder, S. Martínez and N. Wolanski. A free boundary problem for the p(x)-Laplacian. Nonlinear Anal. TMA., 72 (2010), 1078–1103. pdf
- · J. Fernández Bonder, J.D. Rossi and N. Wolanski. Regularity of the free boundary in an optimization problem related to the best Sobolev trace constant. SIAM J. Control Optim., 44 (2005), no. 5, 1614–1635. pdf
- · J. Fernández Bonder, E. Lami Dozo and J.D. Rossi. Symmetry properties for the extremals of the Sobolev trace embedding. Ann. Inst. H. Poincaré Anal. Non Linéaire. 21 (2004), no. 6, 795–805. pdf
- · J. Fernández Bonder and J.D. Rossi. Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains. Commun. Pure Appl. Anal. 1 (2002), no. 3, 359–378. pdf
- · J. Fernández Bonder and J.D. Rossi. Existence results for the p-Laplacian with nonlinear boundary conditions. J. Math. Anal. Appl., 263 (2001), 195–223. pdf
Teaching
Course website · Campus virtual
- Introduction to Continuous Modeling web · campus1st sem 2026
- Partial Differential Equations web · campus2nd sem 2025
- Mathematical Foundations of Deep Learning web · campus1st sem 2025
- Analysis 2 web · campus2nd sem 2024
- Real Analysis web1st sem 2024
- Introduction to Continuous Modeling web2nd sem 2023
- Nonlinear PDEs web1st sem 2023
- Older courses →
- Partial Differential Equations — lecture notes for the Mathematics Program (in Spanish)
- Introduction to Continuous Modelling — lecture notes for the Data Science Program (in Spanish, draft)
- Introduction to nonlocal equations and fractional Sobolev spaces — (in Spanish, draft)
- Analysis 1 — video lectures (YouTube, in Spanish)
Grants & Collaborators
- CONICET PIP Nº 11220150100032CO. Director: Julián Fernández Bonder.
- CONICET-FAPESP RD1279. Director: Julián Fernández Bonder.
- UBACYT Prog. 2018 20020170100445BA. Director: Juan Pablo Pinasco.
- PICT 2016-1022, ANPCyT. Director: Noemi Wolanski.
- Research and Innovation Staff Exchange (RISE) H2020-MSCA-RISE-2017, Project 777822 (GAHIA). Director: Ursula Molter.
UNSAM
UBA
UBA · CONICET
UNNC, China
University of Bath, UK
UBA · CONICET
UCM, Spain
UNRC
UBA · CONICET · ULB (ret.)
UNAM, Mexico
UBA · CONICET
UNRC · CONICET
UNNC, China
UFRJ, Brazil
UNCu · CONICET
UNSL · CONICET
UBA · CONICET
UNMdP · CONICET
UNSAM
Students
See also my profile on the Mathematics Genealogy Project.
- 9Laura Cuneo. (2026–ongoing)
- 8Ignacio Ceresa-Dussel. Nonlocal anisotropic problems and variational applications. (2025)
- 7Adriana Aragón. Numerical methods for nonstandard growth elliptic differential equations and applications to image processing. (2024)
- 6Carla Baroncini. Nonlinear PDEs under domain perturbations. (2018)
- 5Antonella Ritorto. Homogenization and optimal design in nonlocal diffusion. (2017)
- 4Juan Spedaletti. Asymptotic behavior of optimal design problems in local and nonlocal models. (2016)
- 3Analía Silva. Elliptic problems with nonstandard growth and lack of compactness. (2013)
- 2Ariel Salort (co-advisor J.P. Pinasco). Eigenvalue homogenization for quasilinear elliptic equations. (2012)
- 1Leandro Del Pezzo. Some optimization problems for the p-Laplace operator. (2009)
- 3Hernán Vivas (co-advisor L. Caffarelli). 2018–2020
- 2Luis López Rios. 2014–2015
- 1Nicolas Saintier (co-advisor J.D. Rossi). 2007–2008
- 1Juan Spedaletti. Un problema de diseño óptimo asociado al primer autovalor de Steklov.
- 6Laura Cuneo. Espacios de Sobolev fraccionarios, Orlicz-Sobolev y sus extensiones fraccionarias. (2026)
- 5Demian Fraiman. ¿Por qué funcionan los Transformers? Un enfoque desde el Análisis Real. (2025)
- 4Antonella Ritorto. Algunos problemas de optimización de forma. (2014)
- 3Carla Baroncini. Estudio de medidas capacitarias asociadas a espacios de Sobolev con exponente variable. (2013)
- 2Analía Silva. Multiplicidad de soluciones para ecuaciones elípticas no lineales con exponente crítico. (2008)
- 1Leandro Del Pezzo. Un problema de optimización para el primer autovalor del p-Laplaciano más un potencial. (2005)
Contact
-
jfbonder@dm.uba.ar
jfbonder@ic.fcen.uba.ar - Office
- Office 2614, "0+∞" Building
Ciudad Universitaria
Buenos Aires, Argentina - Phone
- +54 11 5285-9829
- Academic profiles
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Google Scholar
arXiv
MathSciNet
ResearchGate
zbMATH
ORCID 0000-0003-1097-4776 - Affiliation
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Departamento de Matemática, UBA
Instituto de Cálculo, CONICET