Welcome! I'm Elliott Farrall

Independent Researcher at University of Surrey

A keen analyst with research interests in functional analysis and the calculus of variations.

Research Areas

Calculus of Variations

Existence and explicit construction of minimisers to variational problems.

Functional Analysis

Bounds for optimal constants in functional inequalities.

Nonlinear Elasticity

Integral functionals with polyconvex integrands and partial differential inclusions.

Recent Publications

Conditions for the Non-Negativity of Excess Functionals in Constrained Variational Problems

PhD Thesis • September 2025

Topics in Multi-Dimensional Calculus of Variations

PhD Confirmation Report • January 2023