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EnglishA 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.
| Data di pubblicazione: | 2006 |
| Titolo: | Critical points for nondifferentiable functions in presence of splitting |
| Autori: | |
| Citazione: | Livrea, R., Marano, S., & Motreanu, D. (2006). Critical points for nondifferentiable functions in presence of splitting. JOURNAL OF DIFFERENTIAL EQUATIONS, 226(2), 704-725. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jde.2005.11.001 |
| 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. |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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