Z_2-symmetric critical point theorems for non-differentiable functions

Roberto Livrea; Roberto Livrea; Pasquale Candito; Dumitru Motreanu

Z_2-symmetric critical point theorems for non-differentiable functions

Roberto Livrea, Roberto Livrea, Pasquale Candito, Dumitru Motreanu

Matematica e Informatica

Risultato della ricerca: Article › peer review

4 Citazioni (Scopus)

Abstract

In this paper, some minmax theorems for even and C1 functionals established by Ghoussoub are extended to the case of functionals that are the sum of a locally Lipschitz continuous, even term and a convex, proper, lower semi-continuous, even function. A class of non-smooth functionals admitting an unbounded sequence of critical values is also pointed out. © 2008 Glasgow Mathematical Journal Trust.

Lingua originale	English
pagine (da-a)	447-466
Numero di pagine	20
Rivista	Glasgow Mathematical Journal
Volume	50
Stato di pubblicazione	Published - 2008

All Science Journal Classification (ASJC) codes

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title = "Z_2-symmetric critical point theorems for non-differentiable functions",

abstract = "In this paper, some minmax theorems for even and C1 functionals established by Ghoussoub are extended to the case of functionals that are the sum of a locally Lipschitz continuous, even term and a convex, proper, lower semi-continuous, even function. A class of non-smooth functionals admitting an unbounded sequence of critical values is also pointed out. {\textcopyright} 2008 Glasgow Mathematical Journal Trust.",

author = "Roberto Livrea and Roberto Livrea and Pasquale Candito and Dumitru Motreanu",

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T1 - Z_2-symmetric critical point theorems for non-differentiable functions

AU - Livrea, Roberto

AU - Candito, Pasquale

AU - Motreanu, Dumitru

PY - 2008

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N2 - In this paper, some minmax theorems for even and C1 functionals established by Ghoussoub are extended to the case of functionals that are the sum of a locally Lipschitz continuous, even term and a convex, proper, lower semi-continuous, even function. A class of non-smooth functionals admitting an unbounded sequence of critical values is also pointed out. © 2008 Glasgow Mathematical Journal Trust.

AB - In this paper, some minmax theorems for even and C1 functionals established by Ghoussoub are extended to the case of functionals that are the sum of a locally Lipschitz continuous, even term and a convex, proper, lower semi-continuous, even function. A class of non-smooth functionals admitting an unbounded sequence of critical values is also pointed out. © 2008 Glasgow Mathematical Journal Trust.

UR - http://hdl.handle.net/10447/258494

M3 - Article

VL - 50

SP - 447

EP - 466

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

SN - 0017-0895

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