SIAM Journal on Control and Optimization, Vol.50, No.2, 991-1011, 2012
THE BOUNDED SLOPE CONDITION FOR FUNCTIONALS DEPENDING ON x, u, AND del u
global regularity result is proved for a class of minimizers of functionals of the form I(u) = integral(Omega) f(vertical bar del u(x)vertical bar) + g(x, u(x)) dx, u is an element of phi + W-0(1,1) (Omega), where phi satisfies the Bounded Slope Condition.