Localization of minimax points

2007 ◽  
Vol 40 (1-3) ◽  
pp. 489-494 ◽  
Author(s):  
Pando G. Georgiev ◽  
Panos M. Pardalos ◽  
Altannar Chinchuluun
Keyword(s):  
Author(s):  
Radu Precup

A new notion of linking is introduced to treat minima as minimax points in a unitary way. Critical points are located in conical annuli making possible to obtain multiplicity. For functionals defined on a Cartesian product, the localization of critical points is given on components and the variational properties of the components can differ, part of them being of minimum type, others of mountain pass type.


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