Results 231 to 240 of about 3,726,336 (290)

A critical point theory for nonsmooth functional

Annali di Matematica Pura ed Applicata, 1994
In this paper a suitable definition of ``norm of differential'' and the notion of critical points are introduced for continuous functionals on metric spaces. By means of this new definition, the classical results of Lyusternik-Schnirelmann on critical point theory for smooth functionals on manifolds are extended to continuous functionals on complete ...
Degiovanni M., Marzocchi M.
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Disjunctive Optimization: Critical Point Theory

Journal of Optimization Theory and Applications, 1997
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Jongen, H. T., Rückmann, J. J., Stein, O.   +2 more
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MPCC: Critical Point Theory

SIAM Journal on Optimization, 2009
We study mathematical programs with complementarity constraints (MPCC) from a topological point of view. Special focus will be on C-stationary points. Under the linear independence constraint qualification (LICQ) we derive an equivariant Morse lemma at nondegenerate C-stationary points.
H. Th. Jongen, Jan.-J. Rückmann, V. Shikhman   +2 more
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Critical Point Theory

2019
Critical point theory deals with variational problems and so it can be argued that it is as old as calculus. Nevertheless, in its modern form, critical point theory has its roots in the so-called “Dirichlet principle”.
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš   +2 more
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Nonsmooth Critical Point Theory

1999
The aim of this chapter is to present general results, many of them belonging to the authors, that can be applied to locally Lipschitz functionals, possibly invariant under a compact Lie group of linear isometries. The nonsmooth critical point theory in the locally Lipschitz case originates in the work of Chang [4].
D. Motreanu, P. D. Panagiotopoulos
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