No abstract

No abstract

No abstract

Hemivariational inequalities containing both an area-type and a non-locally Lipschitz term are considered. Multiplicity results are obtained by means of techniques of nonsmooth critical point theory. Mathematics Subject Classification (1991): 35J85 Recalls of nonsmooth analysisLet X be a metric space endowed with the metric d and let f : X → R be a function. We denote by B r (u) the open ball of centre u and radius r and we set

We study the behavior of the variational eigenvalues of the p-Laplace operator, with homogeneous Dirichlet boundary condition, when p is varying. After introducing an auxiliary problem, we characterize the continuity answering, in particular, a question raised in Lindqvist (Potential Anal. 2(3), 199-218 1993).