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

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  • Cristina Marcelli

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https://doi.org/10.1685/

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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

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2007-10-01

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##issue.vol## 1 (2006)

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