Open AccessComponentwise localization of critical points for functionals defined on product spaces
Author(s) -
Radu Precup
Publication year - 2021
Publication title -
topological methods in nonlinear analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.623
H-Index - 23
ISSN - 1230-3429
DOI - 10.12775/tmna.2021.007
Subject(s) - mathematics , cartesian product , minimax , unitary state , maxima and minima , conical surface , multiplicity (mathematics) , type (biology) , product (mathematics) , pure mathematics , critical point (mathematics) , mathematical analysis , combinatorics , mathematical optimization , geometry , ecology , political science , law , biology
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.