A perturbation result for a double eigenvalue hemivariational inequality with constraints and applications

Abstract. In this paper we prove a perturbation result for a new type of eigenvalue problem intro-duced by D. Motreanu and P.D. Panagiotopoulos (1998). The perturbation is made in the nonsmooth and nonconvex term of a double eigenvalue problem on a spherlike type manifold considered in ‘Multiple solutions for a double eigenvalue hemivariational inequality on a spherelike type manifold’ (to appear in Nonlinear Analysis). For our aim we use some techniques related to the Lusternik-Schnirelman theory (including Krasnoselski’s genus) and results proved by J.N. Corvellec et al