3 papers
math.AP2026
Partial regularity for -quasiconvex variational problems of linear growth
Christopher Irving, Zhuolin Li, Bogdan Raiţă
We prove that minimizers of variational integrals are partially continuous provid…
math.FA2025
On the normal trace space of extended divergence-measure fields
Christopher Irving
We characterise the normal trace space associated to extended (measure-valued) divergence-measure fields on the boundary of a set , as the Arens-Eells space…
math.AP2024
Universality of renormalisable mappings in two dimensions: the case of polar convex integrands
Christopher Irving, Benoît Van Vaerenbergh
We establish universality of the renormalised energy for mappings from a planar domain to a compact manifold, by approximating subquadratic polar convex functionals of the form $\i…