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

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

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All Science Journal Classification (ASJC) codes

Mathematics(all)

Cita questo

Livrea, R., Livrea, R., Candito, P., & Motreanu, D. (2008). Z_2-symmetric critical point theorems for non-differentiable functions. Glasgow Mathematical Journal, 50, 447-466.

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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.",

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AU - Candito, Pasquale

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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.

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