ABSTRACT

In this chapter we introduce the study of some types of integral functionals of the calculus of variations, i.e. those of the kind F ( Ω , u ) = ∫ Ω f ( x , ∇ u ) d x https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429127786/d93edc74-1d99-4eb2-982a-b2324f2bd8d3/content/equ_chapter5_137_1.tif"/> on “regular” functions, that will be our energy functionals.