D. Motreanu et Pd. Panagiotopoulos, DOUBLE EIGENVALUE PROBLEMS FOR HEMIVARIATIONAL INEQUALITIES, Archive for Rational Mechanics and Analysis, 140(3), 1997, pp. 225-251
The aim of the present paper is to study a new type of eigenvalue prob
lem, called a double eigenvalue problem, which arises in hemivariation
al inequalities related to nonconvex nonsmooth energy functionals. The
paper provides existence results as well as some qualitative properti
es for the solutions to double eigenvalue problems for hemivariational
inequalities under the presence of given nonlinear compact operators
which are not necessarily of a variational structure. It presents thre
e different approaches to such problems: minimization, minimax methods
and (sub) critical point theory on a sphere. Applications illustrate
the theory.