Existence and classification of critical points for nondifferentiable functions

Roberto Livrea; Salvatore A. Marano; Roberto Livrea

Existence and classification of critical points for nondifferentiable functions

Roberto Livrea, Salvatore A. Marano, Roberto Livrea

Matematica e Informatica

Risultato della ricerca: Article › peer review

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 originale	English
pagine (da-a)	961-978
Numero di pagine	18
Rivista	Advances in Differential Equations
Volume	9
Stato di pubblicazione	Published - 2004

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Fingerprint Entra nei temi di ricerca di 'Existence and classification of critical points for nondifferentiable functions'. Insieme formano una fingerprint unica.

Cita questo

@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 -