Necessary and Sufficient Conditions for Optimality of Nonconvex, Noncoercive Autonomous Variational Problems with Constraints

Cristina Marcelli

Abstract


We consider one-dimensional autonomous constrained variational
problems with possibly nonsmooth, nonconvex, noncoercive integrands.
We prove a necessary and sufficient condition for the optimality
of a trajectory in the form of a DuBois-Reymond inclusion involving the subdifferential
of Convex Analysis.
Moreover, we also provide a relaxation result and necessary and
sufficient conditions for the existence of the minimum expressed
in terms of the boundary data. Applications to various noncoercive
variational problems are also included.

[DOI: 10.1685 / CSC06109] About DOI

Full Text:



[DOI: 10.1685/] About DOI

Url Resolver: : http://dx.doi.org/10.1685/





Creative Commons License   Except where otherwise noted, content on this site is
  licensed under a Creative Commons 2.5 Italy License