Abstract

Abstract. We prove the uniqueness of the solution for a non-strictly convex problem in the Calculus of Variations of the form [[EQUATION]] φ (∇ v ) − λv . Here, φ is a convex function not differentiable at the origin and λ is a Lipschitz function. To prove this result we show that under fairly general assumptions, the minimizers are globally Lipschitz continuous.

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