ABSTRACT
In the present chapter we exploit the properties of convex functions and of measure spaces to prove a general approximation in energy result of the elements of a subspace of L loc 1 ( R n ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429127786/d93edc74-1d99-4eb2-982a-b2324f2bd8d3/content/inq_chapter7_159_1.tif"/> with functions in C ∞ (R n ), by assuming just convexity hypotheses on the energy functional.
