Super-solutions of eigenvalue problems and the oscillation properties of second order evolution equations (Q1108429)

Via a suitable extension of a classical Theorem of Stampacchia in the theory of linear elliptic variational inequalities, the authors prove that available test functions can be obtained in order to study the oscillatory phenomena of global type associated to the solutions of nonlinear hyperbolic equations of order 2m(m\(\geq 1)\) in the space variable, possibly with singular potentials in bounded or unbounded domains of \({\mathbb{R}}^ N\).