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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Critical points on closed elliptic affine subspaces

Author: Robert Delver
Journal: Proc. Amer. Math. Soc. 51 (1975), 385-392
MSC: Primary 58E15; Secondary 49B25
MathSciNet review: 0375385
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Abstract: The critical points of a function restricted to the solution set of a linear elliptic equation are characterized. An extension of the Lagrange multiplier method is given. Existence and the relation to elliptic eigenvalue problems are discussed.

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Keywords: Variational problems, critical points, Lagrange multipliers, variational adjoint, elliptic boundary control problems, elliptic operator-eigenvalue problems
Article copyright: © Copyright 1975 American Mathematical Society

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