Critical points for nondifferentiable functions in presence of splitting

Roberto Livrea; Salvatore A. Marano; Roberto Livrea; Dumitru Motreanu

Critical points for nondifferentiable functions in presence of splitting

Roberto Livrea, Salvatore A. Marano, Roberto Livrea, Dumitru Motreanu

Matematica e Informatica

Risultato della ricerca: Article › peer review

6 Citazioni (Scopus)

Abstract

A classical critical point theorem in presence of splitting established by BrÃ©zis-Nirenberg is extended to functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. The obtained result is then exploited to prove a multiplicity theorem for a family of elliptic variational-hemivariational eigenvalue problems. Â© 2005 Elsevier Inc. All rights reserved.

Lingua originale	English
pagine (da-a)	704-725
Numero di pagine	22
Rivista	Journal of Differential Equations
Volume	226
Stato di pubblicazione	Published - 2006

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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title = "Critical points for nondifferentiable functions in presence of splitting",

abstract = "A classical critical point theorem in presence of splitting established by Br{\~A}{\textcopyright}zis-Nirenberg is extended to functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. The obtained result is then exploited to prove a multiplicity theorem for a family of elliptic variational-hemivariational eigenvalue problems. {\^A}{\textcopyright} 2005 Elsevier Inc. All rights reserved.",

author = "Roberto Livrea and Marano, {Salvatore A.} and Roberto Livrea and Dumitru Motreanu",

year = "2006",

language = "English",

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pages = "704--725",

journal = "Journal of Differential Equations",

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TY - JOUR

T1 - Critical points for nondifferentiable functions in presence of splitting

AU - Livrea, Roberto

AU - Marano, Salvatore A.

AU - Livrea, Roberto

AU - Motreanu, Dumitru

PY - 2006

Y1 - 2006

N2 - A classical critical point theorem in presence of splitting established by BrÃ©zis-Nirenberg is extended to functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. The obtained result is then exploited to prove a multiplicity theorem for a family of elliptic variational-hemivariational eigenvalue problems. Â© 2005 Elsevier Inc. All rights reserved.

AB - A classical critical point theorem in presence of splitting established by BrÃ©zis-Nirenberg is extended to functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. The obtained result is then exploited to prove a multiplicity theorem for a family of elliptic variational-hemivariational eigenvalue problems. Â© 2005 Elsevier Inc. All rights reserved.

UR - http://hdl.handle.net/10447/258478

M3 - Article

VL - 226

SP - 704

EP - 725

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

ER -