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Ivar Ekeland
Researcher at Paris Dauphine University
Publications - 207
Citations - 18214
Ivar Ekeland is an academic researcher from Paris Dauphine University. The author has contributed to research in topics: Hamiltonian system & Nonlinear system. The author has an hindex of 45, co-authored 204 publications receiving 17282 citations. Previous affiliations of Ivar Ekeland include University of British Columbia & University of Paris.
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Convex analysis and variational problems
Ivar Ekeland,Roger Téman +1 more
TL;DR: In this article, the authors consider non-convex variational problems with a priori estimate in convex programming and show that they can be solved by the minimax theorem.
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On the variational principle
TL;DR: The variational principle states that if a differentiable function F has a finite lower bound (although it need not attain it), then, for every E > 0, there exists some point u( where 11 F'(uJj* < l, i.e., its derivative can be made arbitrarily small as discussed by the authors.
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Nonconvex minimization problems
TL;DR: In this paper, it was shown that the set of continuous linear functionals on a Banach space E which attain their maximum on a prescribed closed convex bounded subset X c E is norm-dense in £ *.