Christopher Irving

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math.AP2026

Partial regularity for $A$ -quasiconvex variational problems of linear growth

Christopher Irving, Zhuolin Li, Bogdan RaiÅ£Ä

We prove that minimizers of variational integrals $E (v) = \int_{I^} c ◯ f (v) for v \in M (I^c ◯) such that A v = 0,$ are partially continuous prov…

math.AP2025

Universality of renormalisable mappings in two dimensions: the case of polar convex integrands

Christopher Irving, BenoÃ®t 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…

Partial regularity for A-quasiconvex variational problems of linear growth

Universality of renormalisable mappings in two dimensions: the case of polar convex integrands

Partial regularity for $A$ -quasiconvex variational problems of linear growth