Judith Campos Cordero

Judith Campos Cordero
Universidad Nacional Autónoma de México | UNAM · Department of Mathematics

Doctor of Philosophy

About

3
Publications
115
Reads
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26
Citations
Additional affiliations
January 2017 - November 2019
Metropolitan Autonomous University
Position
  • Professor
October 2014 - December 2016
Universität Augsburg
Position
  • PostDoc Position
October 2014 - December 2016
Universität Augsburg
Position
  • Lecturer
Description
  • Lecturer: Convex Analysis (Undergraduate course) Homogenization Seminar (Masters course) Teaching Assistant: Regularity of elliptic partial differential equations (Masters course) Analysis III (Undergraduate course) Nonlinear PDE's (Masters course).
Education
October 2010 - October 2014
University of Oxford
Field of study
  • Mathematics
August 2004 - August 2008

Publications

Publications (3)
Preprint
We consider functionals of the form $$ \mathcal{F}(u):=\int_\Omega\!F(x,u,\nabla u)\,\mathrm{d} x, $$ where $\Omega\subseteq\mathbb{R}^n$ is open and bounded. The integrand $F\colon\Omega\times\mathbb{R}^N\times\mathbb{R}^{N\times n}\to\mathbb{R}$ is assumed to satisfy the classical assumptions of a polynomial $p$-growth and strong quasiconvexity....
Article
Motivated by applications in materials science, a set of quasiconvexity at the boundary conditions is introduced for domains that are locally diffeomorphic to polytopes. These conditions are shown to be necessary for strong local minimisers in the vectorial Calculus of Variations and a quasiconvexity-based sufficiency theorem is established for C1...
Article
In this paper we present a new proof of the sufficiency theorem for strong local minimizers concerning $C^1$-extremals at which the second variation is strictly positive. The results are presented in the quasiconvex setting, in accordance with the original statement by Grabovsky and Mengesha (2009). The strategy that we follow relies on a decomposi...