Juan Guillermo Garrido

I'm a fourth-year Phd. student in Mathematical Modeling at Universidad de Chile. My main areas of interest are both theoretical and applied aspects of

Optimization
Convex Analysis
Variational Analysis
Differential Inclusions

Email: jgarrido [at] dim [dot] uchile [dot] cl

Research

The following list contains published papers, pre-prints and works in progress.

Random multifunctions as the set minimizers of infinitely many differentiable random functions (with P. Pérez-Aros and E. Vilches)

J. Optim. Theory Appl. (2023). DOI: 10.1007/s10957-023-02240-1

Integral functionals on nonseparable Banach spaces with applications (with P. Pérez-Aros and E. Vilches)

Appl. Math. Optim. (2023). DOI: 10.1007/s00245-022-09942-4

Catching-up Algorithm with Approximate Projections for Moreau's Sweeping Processes (with E. Vilches)

J. Optim. Theory Appl. (2024). DOI: 10.1007/s10957-024-02407-4

A Newton-Like Dynamical System for Nonsmooth and Nonconvex Optimization (with P. Pérez-Aros and E. Vilches)

Submitted (2024).

Inexact Catching-Up Algorithm for Moreau's Sweeping Processes (with M. Lioi and E. Vilches)

Appl. Math. Optim. (2025). DOI: 10.1007/s00245-025-10307-w

Characterization of Strong Local Maximal Monotonicity through Graphical Derivatives

Set-Valued Var. Anal. (2025). DOI: 10.1007/s11228-025-00772-4

Stochastic Perturbation of Sweeping Processes Driven by Continuous Uniformly Prox-Regular Moving Sets (with N. Kazi-Tani and E. Vilches)

Submitted (2026).

Stochastic Differential Inclusions driven by Maximal Monotone Operators with empty interiors (with P. Pérez-Aros and M. Staudigl)

Submitted (2026).

Integral Formulation and the Brézis-Ekeland-Nayroles-Type Principle for Prox-Regular Sweeping Processes (with E. Vilches)