Data di Pubblicazione:
2007
Citazione:
A multiplicity theorem for the Neumann p-Laplacian with an asymmetric nonsmooth potential / Barletta, G., N. S., P.. - In: JOURNAL OF GLOBAL OPTIMIZATION. - ISSN 0925-5001. - 39:3(2007), pp. 365-392. [10.1007/s10898-007-9142-4]
Abstract:
We consider a nonlinear Neumann problem driven by the p-Laplacian
differential operator with a nonsmooth potential (hemivariational
inequality). By combining variational with degree theoretic
techniques, we prove a multiplicity theorem. In the process we
also prove a result of independent interest relating $W_n^{1,p}$
and $C_n^1$ local minimizers, of a nonsmooth locally Lipschitz
functional.
differential operator with a nonsmooth potential (hemivariational
inequality). By combining variational with degree theoretic
techniques, we prove a multiplicity theorem. In the process we
also prove a result of independent interest relating $W_n^{1,p}$
and $C_n^1$ local minimizers, of a nonsmooth locally Lipschitz
functional.
Tipologia CRIS:
1.1 Articolo in rivista
Keywords:
Neumann problem; p-Laplacian; Degree theory
Elenco autori:
Barletta, Giuseppina; N. S., Papageorgiou
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