Starting from the concept of Morse critical point, introduced by Ioffe and Schwartzman, we propose a possible approach to critical point theory for continuous functionals defined on topological spaces, which includes some classical results, also in an infinite dimensional setting.
Degiovanni, M., On topological and metric critical point theory, <<JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS>>, 2010; 7 (1): 85-102. [doi:10.1007/s11784-009-0001-4] [http://hdl.handle.net/10807/2977]
On topological and metric critical point theory
Degiovanni, Marco
2010
Abstract
Starting from the concept of Morse critical point, introduced by Ioffe and Schwartzman, we propose a possible approach to critical point theory for continuous functionals defined on topological spaces, which includes some classical results, also in an infinite dimensional setting.
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