T‐minima: some remarks about existence,uniqueness and stability results

Abstract

We deal with minima for convex functionals of the calculus of variations when the forcing term is a function of L¹(Ω), exhibiting a notion of minimum equivalent to that one given in [2]. This new formulation allows us to make easier the proofs of existence and uniqueness results already obtained in [2]. Moreover with this alternative definition we prove that minima are stable if we perturb the functionals under the notion of Γ‐convergence.