Abstract: | We consider functionals of the calculus of variations of the form F(u)= ∝01 f(x, u, u′) dx defined for u ε W1,∞(0, 1), and we show that the relaxed functional
with respect to weak W1,1(0, 1) convergence can be written as , where the additional term L(u), called the Lavrentiev term, is explicitly identified in terms of F. |