Analysis of local minima for constrained minimization problems
Bedford, S. J.
Original · EN
We consider vectorial problems in the calculus of variations with an additional pointwise constraint. Our admissible mappings n:Rᵏ→ Rᵈ satisfy n(x)∈ M, where M is a manifold embedded in Euclidean space. The main results of the paper all formulate necessary or sufficient conditions for a given mapping n to be a weak or strong local minimizer. Our methods involve using projection mappings in order to build on existing, unconstrained, local minimizer results. We apply our results to a liquid crystal variational problem to quantify the stability of the unwound cholesteric state under frustrated boundary conditions.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.