Abstract
The aim of this work is to deduce optimality conditions for a nonlocal variational principle in the one-dimensional scalar case. We consider the relaxation of the problem in terms of Young measures. This relaxation is a new problem where we perform variations to derive optimality conditions, and those conditions yield explicit information about minimizers in the homogeneous case. It also provides a method capable of finding minimizers for some specific problems.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have