Marc Oliver Rieger
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
rieger@sns.it
Abstract: Existence results for a class of
one-dimensional abstract variational problems with volume constraints
are established. The only assumptions on their energy are additivity,
translation invariance and solvability of the transition problem.
These general results yield existence results for nonconvex problems.
Moreover it is proved that a naive extension to higher dimensional
situations in general fails.
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