6 papers
Remarks on a Liouville-type theorem by Chae and Wolf for stationary Navier-Stokes equations
Raúl Fierro, Gaston Vergara-Hermosilla
In this note, we revisit a Liouville-type theorem of Chae and Wolf for stationary Navier-Stokes equations in [J. Differential Equations 261 (2016) 5541-5560]. We sho…
Sequential Stability of the Value Function and the Solution Mapping in Berge's Maximum Theorem via Variational Convergence
John Cotrina, Raúl Fierro, Rubén López
Berge's maximum theorem ensures the continuity of the value function and the upper semicontinuity of the solution mapping in parametric optimization problems. This theorem plays a…
Inverse maximum theorems and some consequences
John Cotrina, Raúl Fierro
We deal with inverse maximum theorems, which are inspired by the ones given by Aoyama, Komiya, Li et al., Park and Komiya, and Yamauchi. As a consequence of our results, we state a…
A model for risk assessment of a large earthquake with application to Chilean data
Raúl Fierro, Víctor Leiva
We study the asymptotic distribution for the occurrence time of the next large earthquake, by knowing the last large seismic event occurred a long time ago. We prove that, under re…
Condensing and Semi-continuous Multi-functions on Uniform Spaces
Raúl Fierro
Some concepts, such as non-compactness measure and condensing operators, defined on metric spaces are extended to uniform spaces. Such extensions allow us to locate, in the context…
Fixed Point Theorems for Set-Valued Mappings on TVS-Cone Metric Spaces
Raúl Fierro
In the context of tvs-cone metric spaces, we prove a Bishop-Phelps and a Caristi's type theorem. These results allow us to prove a fixed point theorem for -weak contraction…