Homotopical properties of a class of nonsmooth functions

Marco Degiovanni

doi:10.1007/BF01766973

Homotopical properties of a class of nonsmooth functions

Marco Degiovanni^*

^*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivista › Articolo

Abstract

A class of extended real valued functionals, already considered for evolution problems, is studied. The set where the functional is finite is proved to be an absolute neighborhood extensor. Applications to critical point theory, involving Ljusternik-Schnirelman category and cohomological index, are shown. The stability under Γ-convergence of the homotopical type of the sublevels of the functional is also treated.

Lingua originale	Inglese
pagine (da-a)	37-71
Numero di pagine	35
Rivista	Annali di Matematica Pura ed Applicata
Volume	156
Numero di pubblicazione	1
DOI	https://doi.org/10.1007/BF01766973
Stato di pubblicazione	Pubblicato - 1990

All Science Journal Classification (ASJC) codes

Matematica Applicata

Keywords

Variational methods

Accesso al documento

10.1007/BF01766973

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abstract = "A class of extended real valued functionals, already considered for evolution problems, is studied. The set where the functional is finite is proved to be an absolute neighborhood extensor. Applications to critical point theory, involving Ljusternik-Schnirelman category and cohomological index, are shown. The stability under Γ-convergence of the homotopical type of the sublevels of the functional is also treated.",

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Homotopical properties of a class of nonsmooth functions

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Accesso al documento

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