A classical critical point theorem in presence of splitting established by Brézis-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. © 2005 Elsevier Inc. All rights reserved.
Livrea, R., Marano, S., Motreanu, D. (2006). Critical points for nondifferentiable functions in presence of splitting. JOURNAL OF DIFFERENTIAL EQUATIONS, 226(2), 704-725 [10.1016/j.jde.2005.11.001].
Critical points for nondifferentiable functions in presence of splitting
Livrea, R.;Marano, S. A.;Motreanu, D.
2006
Abstract
A classical critical point theorem in presence of splitting established by Brézis-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. © 2005 Elsevier Inc. All rights reserved.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
JDE-2006-Online.pdf
Solo gestori archvio
Dimensione
191.2 kB
Formato
Adobe PDF
|
191.2 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
