Existence and classification of critical points for nondifferentiable functions

Roberto Livrea, Salvatore A. Marano, Roberto Livrea

Risultato della ricerca: Article

20 Citazioni (Scopus)

Abstract

A general min-max principle established by Ghoussoub is extended to the case of functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. Some topological properties of the min-max-generated critical points in such a framework are then pointed out.
Lingua originaleEnglish
pagine (da-a)961-978
Numero di pagine18
RivistaAdvances in Differential Equations
Volume9
Stato di pubblicazionePublished - 2004

Fingerprint

Min-max Principle
Lower Semicontinuous Function
Topological Properties
Min-max
Lipschitz
Critical point
Term
Framework

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cita questo

Existence and classification of critical points for nondifferentiable functions. / Livrea, Roberto; Marano, Salvatore A.; Livrea, Roberto.

In: Advances in Differential Equations, Vol. 9, 2004, pag. 961-978.

Risultato della ricerca: Article

@article{22c5ec9df9484867a12ca209d2a78a9e,
title = "Existence and classification of critical points for nondifferentiable functions",
abstract = "A general min-max principle established by Ghoussoub is extended to the case of functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. Some topological properties of the min-max-generated critical points in such a framework are then pointed out.",
author = "Roberto Livrea and Marano, {Salvatore A.} and Roberto Livrea",
year = "2004",
language = "English",
volume = "9",
pages = "961--978",
journal = "Advances in Differential Equations",
issn = "1079-9389",
publisher = "Khayyam Publishing, Inc.",

}

TY - JOUR

T1 - Existence and classification of critical points for nondifferentiable functions

AU - Livrea, Roberto

AU - Marano, Salvatore A.

AU - Livrea, Roberto

PY - 2004

Y1 - 2004

N2 - A general min-max principle established by Ghoussoub is extended to the case of functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. Some topological properties of the min-max-generated critical points in such a framework are then pointed out.

AB - A general min-max principle established by Ghoussoub is extended to the case of functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. Some topological properties of the min-max-generated critical points in such a framework are then pointed out.

UR - http://hdl.handle.net/10447/258464

UR - http://projecteuclid.org/download/pdf_1/euclid.ade/1355867910

M3 - Article

VL - 9

SP - 961

EP - 978

JO - Advances in Differential Equations

JF - Advances in Differential Equations

SN - 1079-9389

ER -