Strict convexity and the regularity of solutions to variational problems
Strict convexity and the regularity of solutions to variational problems
We consider the problem of minimizing where Ω is a bounded open subset of ℝN and L is a convex function that grows quadratically outside the unit ball, while, when | ∇v | < 1, it behaves like | ∇v | p with 1 <p< 2. We show that, for …